Results 81 to 90 of about 262,520 (170)

Einstein-Riemann Gravity on Deformed Spaces

open access: yesSymmetry, 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
doaj  

Quantum Groupoids Acting on Semiprime Algebras

open access: yesAdvances 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
doaj   +1 more source

Cuntz Semigroups of Compact-Type Hopf C*-Algebras

open access: yesAxioms, 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
doaj   +1 more source

Hopf Algebroids and Their Cyclic Theory [PDF]

open access: yes, 2009
The main objective of this thesis is to clarify concepts of generalised symmetries in noncommutative geometry (i.e., the noncommutative analogue of groupoids and Lie algebroids) and their associated (co)homologies.
Sub Algebra,Geometry&Mathem. Logic begr.   +2 more
core   +1 more source

Braided Algebraic Quantum Groups

open access: yesMathematics
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
doaj   +1 more source

Uma base para a álgebra quântica de tipo E6

open access: yesREMAT
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
doaj   +1 more source

(Hopf) Algebra Automorphisms of the Hopf Algebra

open access: yes, 2013
In this article, we completely determine the group of algebra automorphisms for the two-parameter Hopf algebra. As a result, the group of Hopf algebra automorphisms is determined for as well.
Tang, Xin
core   +1 more source

Local Quasitriangular Hopf Algebras

open access: yesSymmetry, 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   +2 more
doaj  

Remarks on Q-oscillators representation of Hopf-type boson algebras

open access: yesLe 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
doaj  

Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols

open access: yesCubo, 2010
We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements.
L. P Castro, A. S. Silva
doaj  

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