Results 111 to 120 of about 1,475 (226)

Hopf algebra extensions of monogenic Hopf algebras

Journal of Pure and Applied Algebra, 1996
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Einstein-Riemann Gravity on Deformed Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2006
A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms.
Julius Wess
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Quantum Groupoids Acting on Semiprime Algebras

Advances in Mathematical Physics, 2011
Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
Inês Borges, Christian Lomp
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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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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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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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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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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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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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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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