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Search: Bodo Pareigis
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1.
1 UPDATE SCHEDULES OF SEQUENTIAL DYNAMICAL SYSTEMS
Open Access
Title:
1 UPDATE SCHEDULES OF SEQUENTIAL DYNAMICAL SYSTEMS
Author:
Reinhard Laubenbacher
;
Bodo Pareigis
Reinhard Laubenbacher
;
Bodo Pareigis
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Description:
Abstract. Sequential dynamical systems have the property, that the updates of states of individual cells occur sequentially, so that the global update of the system depends on the order of the individual updates. This order is given by an order on the set of vertices of the dependency graph. It turns out that only a partial suborder is necessary...
Abstract. Sequential dynamical systems have the property, that the updates of states of individual cells occur sequentially, so that the global update of the system depends on the order of the individual updates. This order is given by an order on the set of vertices of the dependency graph. It turns out that only a partial suborder is necessary to describe the global update. This paper defines and studies this partial order and its influence on the global update function.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20080701
Source:
http://www.mathematik.unimuenchen.de/~
pareigis
/Papers/USSDS_FI.PDF
http://www.mathematik.unimuenchen.de/~
pareigis
/Papers/USSDS_FI.PDF
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Document Type:
text
Language:
en
Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.93.1394
http://www.mathematik.unimuenchen.de/~pareigis/Papers/USSDS_FI.PDF
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.93.1394
http://www.mathematik.unimuenchen.de/~pareigis/Papers/USSDS_FI.PDF
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2.
On Lie algebras in braided categories
Open Access
Title:
On Lie algebras in braided categories
Author:
Bodo Pareigis
Bodo Pareigis
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Description:
the concepts of Lie super and Lie color algebras. Our Lie algebras have nary multiplications between various graded components. They possess universal enveloping algebras that are Hopf algebras in the given category. Their biproducts with the group ring are noncommutative noncocommutative Hopf algebras some of them known in the literature. Conv...
the concepts of Lie super and Lie color algebras. Our Lie algebras have nary multiplications between various graded components. They possess universal enveloping algebras that are Hopf algebras in the given category. Their biproducts with the group ring are noncommutative noncocommutative Hopf algebras some of them known in the literature. Conversely the primitive elements of a Hopf algebra
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20130201
Source:
http://arxiv.org/pdf/qalg/9612002v1.pdf
http://arxiv.org/pdf/qalg/9612002v1.pdf
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Document Type:
text
Language:
en
Subjects:
Graded Lie algebra ; braided category ; braided Hopf algebra ; universal enveloping
Graded Lie algebra ; braided category ; braided Hopf algebra ; universal enveloping
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Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.269.3345
http://arxiv.org/pdf/qalg/9612002v1.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.269.3345
http://arxiv.org/pdf/qalg/9612002v1.pdf
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3.
On Lie Algebras in the Category of YetterDrinfeld Modules
Open Access
Title:
On Lie Algebras in the Category of YetterDrinfeld Modules
Author:
Bodo Pareigis
Bodo Pareigis
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Description:
the primitive elements of H do not form an ordinary Lie algebra anymore. We introduce the notion of a (generalized) Lie algebra in YDK K such that the set of primitive elements P(H) is a Lie algebra in this sense. Also the YetterDrinfeld module of derivations of an algebra A in YDK K is a Lie algebra. Furthermore for each Lie algebra in YDK K t...
the primitive elements of H do not form an ordinary Lie algebra anymore. We introduce the notion of a (generalized) Lie algebra in YDK K such that the set of primitive elements P(H) is a Lie algebra in this sense. Also the YetterDrinfeld module of derivations of an algebra A in YDK K is a Lie algebra. Furthermore for each Lie algebra in YDK K there is a universal enveloping algebra which turns out to be a Hopf algebra in YDK K.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20130201
Source:
http://arxiv.org/pdf/qalg/9612023v1.pdf
http://arxiv.org/pdf/qalg/9612023v1.pdf
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Document Type:
text
Language:
en
Subjects:
braided category ; YetterDrinfeld module ; Lie algebra ; universal
braided category ; YetterDrinfeld module ; Lie algebra ; universal
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Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.269.5323
http://arxiv.org/pdf/qalg/9612023v1.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.269.5323
http://arxiv.org/pdf/qalg/9612023v1.pdf
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4.
Analytische und Projektive Geometrie für die ComputerGraphik
Title:
Analytische und Projektive Geometrie für die ComputerGraphik
Author:
Pareigis, Bodo
Pareigis, Bodo
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Publisher:
LudwigMaximiliansUniversität München
Contributors:
Pareigis, Bodo
Year of Publication:
19900101
Document Type:
doctype:book ; Monographie ; NonPeerReviewed
Subjects:
Mathematik ; Informatik und Statistik ; ddc:510
Mathematik ; Informatik und Statistik ; ddc:510
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Relations:
http://epub.ub.unimuenchen.de/7122/1/7122.pdf ; Pareigis, Bodo (1990): Analytische und Projektive Geometrie für die ComputerGraphik. Stuttgart: Teubner
URL:
http://epub.ub.unimuenchen.de/7122/
http://nbnresolving.de/urn/resolver.pl?urn=nbn:de:bvb:19epub71225
http://epub.ub.unimuenchen.de/7122/
http://nbnresolving.de/urn/resolver.pl?urn=nbn:de:bvb:19epub71225
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5.
Four lectures on Hopf algebras
Title:
Four lectures on Hopf algebras
Author:
Pareigis, Bodo
Pareigis, Bodo
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Publisher:
LudwigMaximiliansUniversität München
Contributors:
Pareigis, Bodo
Year of Publication:
19840101
Document Type:
doctype:book ; Monographie ; NonPeerReviewed
Subjects:
Mathematik ; Informatik und Statistik ; ddc:510
Mathematik ; Informatik und Statistik ; ddc:510
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Relations:
Pareigis, Bodo (1984): Four lectures on Hopf algebras. Barcelona: Barcelona
URL:
http://epub.ub.unimuenchen.de/7123/
http://epub.ub.unimuenchen.de/7123/
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6.
On Lie Algebras in Braided Categories
Open Access
Title:
On Lie Algebras in Braided Categories
Author:
Pareigis, Bodo
Pareigis, Bodo
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Description:
The set of primitive elements of a Hopf algebra in the braided category of group graded vector spaces (with a commutative group) carry the structure of a generalized Lie algebra. In particular the graded derivations of an associative algebra carry this Lie algebra structure. The Lie multiplications consist of certain nary partially defined mult...
The set of primitive elements of a Hopf algebra in the braided category of group graded vector spaces (with a commutative group) carry the structure of a generalized Lie algebra. In particular the graded derivations of an associative algebra carry this Lie algebra structure. The Lie multiplications consist of certain nary partially defined multiplications satisfying generalized antisymmetry and Jacobi identities. This generalizes the concept of Lie super algebras and Lie color algebras. We show that universal enveloping algebras in the braided category exist. They are (braided) Hopf algebras. This explains many constructions of noncommutative noncocommutative Hopf algebras in the literature. ; Comment: 20 pages  uses nlatex = NFSS Latex plus AMS macro package amsart.sty
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Year of Publication:
19961201
Document Type:
text
Subjects:
Mathematics  Quantum Algebra
Mathematics  Quantum Algebra
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URL:
http://arxiv.org/abs/qalg/9612002
http://arxiv.org/abs/qalg/9612002
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7.
Reconstruction of Hidden Symmetries
Open Access
Title:
Reconstruction of Hidden Symmetries
Author:
Pareigis, Bodo
Pareigis, Bodo
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Description:
Representations of a group $G$ in vector spaces over a field $K$ form a category. One can reconstruct the given group $G$ from its representations to vector spaces as the full group of monoidal automorphisms of the underlying functor. This is a special example of TannakaKrein theory. This theory was used in recent years to reconstruct quantum g...
Representations of a group $G$ in vector spaces over a field $K$ form a category. One can reconstruct the given group $G$ from its representations to vector spaces as the full group of monoidal automorphisms of the underlying functor. This is a special example of TannakaKrein theory. This theory was used in recent years to reconstruct quantum groups (quasitriangular Hopf algebras) in the study of algebraic quantum field theory and other applications. We show that a similar study of representations in spaces with additional structure (super vector spaces, graded vector spaces, comodules, braided monoidal categories) produces additional symmetries, called ``hidden symmetries''. More generally, reconstructed quantum groups tend to decompose into a smash product of the given quantum group and a quantum group of ``hidden'' symmetries of the base category. ; Comment: 42 pages, amslatex, figures generated with bezier.sty, replaced to facilitate mailing
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Year of Publication:
19941209
Document Type:
text
Subjects:
High Energy Physics  Theory
High Energy Physics  Theory
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DDC:
512 Algebra
(computed)
URL:
http://arxiv.org/abs/hepth/9412085
http://arxiv.org/abs/hepth/9412085
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ArXiv.org (Cornell University Library)
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8.
On Lie Algebras in the Category of YetterDrinfeld Modules
Open Access
Title:
On Lie Algebras in the Category of YetterDrinfeld Modules
Author:
Pareigis, Bodo
Pareigis, Bodo
Minimize authors
Description:
The category of YetterDrinfeld modules over a Hopf algebra (with bijektive antipode over a field) is a braided monoidal category. Given a Hopf algebra in this category then the primitive elements of this Hopf algebra do not form an ordinary Lie algebra anymore. We introduce the notion of a (generalized) Lie algebra in the category of YetterDri...
The category of YetterDrinfeld modules over a Hopf algebra (with bijektive antipode over a field) is a braided monoidal category. Given a Hopf algebra in this category then the primitive elements of this Hopf algebra do not form an ordinary Lie algebra anymore. We introduce the notion of a (generalized) Lie algebra in the category of YetterDrinfeld modules such that the set of primitive elements of a Hopf algebra is a Lie algebra in this sense. It has nary partially defined Lie multiplications on certain symmetric submodules of n fold tensor products. They satisfy antisymmetry and Jacobi identities. Also the YetterDrinfeld module of derivations of an associative algebra in the category of Yetter Drinfeld modules is a Lie algebra. Furthermore for each Lie algebra in the category of YetterDrinfeld modules there is a universal enveloping algebra which turns out to be a (braided) Hopf algebra in this category. ; Comment: 21 pages, NLaTeX with bezier.sty, amsart.sty
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Year of Publication:
19961217
Document Type:
text
Subjects:
Mathematics  Quantum Algebra
Mathematics  Quantum Algebra
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DDC:
512 Algebra
(computed)
URL:
http://arxiv.org/abs/qalg/9612023
http://arxiv.org/abs/qalg/9612023
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ArXiv.org (Cornell University Library)
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9.
Kohomologie von pLieAlgebren.
Title:
Kohomologie von pLieAlgebren.
Author:
Pareigis, Bodo
Pareigis, Bodo
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Source:
Pareigis
,
Bodo
;: Kohomologie von pLieAlgebren.
Pareigis
,
Bodo
;: Kohomologie von pLieAlgebren.
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Document Type:
Article ; Text
Subjects:
Mathematica
Mathematica
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Rights:
Open Access
Open Access
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URL:
http://resolver.sub.unigoettingen.de/purl?GDZPPN002402068
http://resolver.sub.unigoettingen.de/purl?GDZPPN002402068
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GDZ  Center for Retrospective Digitization, Göttingen (GeorgAugustUniversität Götingen)
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10.
Vergessende Funktoren und Ringhomomorphismen.
Title:
Vergessende Funktoren und Ringhomomorphismen.
Author:
Pareigis, Bodo
Pareigis, Bodo
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Source:
Pareigis
,
Bodo
;: Vergessende Funktoren und Ringhomomorphismen.
Pareigis
,
Bodo
;: Vergessende Funktoren und Ringhomomorphismen.
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Document Type:
Article ; Text
Subjects:
Mathematica
Mathematica
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Rights:
Open Access
Open Access
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URL:
http://resolver.sub.unigoettingen.de/purl?GDZPPN002397927
http://resolver.sub.unigoettingen.de/purl?GDZPPN002397927
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(58) Pareigis, Bodo
(4) The Pennsylvania State University CiteSeerX...
(3) Bodo Pareigis
(3) Kasch, Friedrich
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(1) Albers, Gerd
(1) ColonReyes, Omar
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