Results 91 to 100 of about 600 (187)

On Normal Hopf Subalgebras of Semisimple Hopf Algebras [PDF]

Algebras and Representation Theory, 2010
A criterion for subcoalgebras to be invariant under the adjoint action is given generalizing Masuoka's criterion for normal Hopf subalgebras. At the level of characters, the image of the induction functor from a normal Hopf subalgebra is isomorphic to the image of the restriction functor.
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Cuntz Semigroups of Compact-Type Hopf C*-Algebras

Axioms, 2017
The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism.
Dan Kučerovský
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Transfer for Hopf Algebras

Journal of Algebra, 1996
A transfer for the cohomology of finite groups has played an important role in cohomology calculations. Since the group algebra has the structure of a Hopf algebra, a natural question is whether there exists a transfer for other kinds of Hopf algebras.
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Cohomology of Hopf C^* -Algebras and Hopf Von Neumann Algebras [PDF]

Proceedings of the London Mathematical Society, 2001
In this article, we will define two canonical cohomology theories for Hopf $C^*$-algebras and for Hopf von Neumann algebras (with coefficients in their bicomodules). We will then study the situations when these cohomologies vanish. The cases of locally compact groups and compact quantum groups will be considered in more details.
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Braided Algebraic Quantum Groups

Mathematics
In this paper, we mainly introduce the notion of a braided algebraic group, which unifies the notions of a braided Hopf algebra with an integral, a Hopf group-coalgebra with a group-integral and an algebraic quantum group.
Yue Gu, Shuanhong Wang
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Hopf algebra extensions of monogenic Hopf algebras

Journal of Pure and Applied Algebra, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uma base para a álgebra quântica de tipo E6

REMAT
As álgebras quânticas, ou grupos quânticos, são álgebras de Hopf não comutativas e não cocomutativas. Neste trabalho consideramos a envolvente quântica de dimensão infinita obtida a partir da álgebra de Lie simples de tipo E_6.
Bárbara Pogorelsky, Vitória Gomes
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On Posets and Hopf Algebras

Advances in Mathematics, 1996
Given the collection of types \(\overline{P}\) of finite posets \(P\) with elements \(\widehat{0}\) and \(\widehat{1}\), the linear space \(I\) over a field \(K\) whose basis is the set of types is in a natural way an algebra, if \(\overline{P}\otimes\overline{Q}=\overline{P\otimes Q}\), where \(P\otimes Q\) is the product poset, extended linearly. If \
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Local Quasitriangular Hopf Algebras

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite
Shouchuan Zhang, Mark D. Gould, Yao-Zhong Zhang   +2 more
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Remarks on Q-oscillators representation of Hopf-type boson algebras

Le Matematiche, 1998
We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra ...
Anna Maria Paolucci, Ioannis Tsohantjis
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