Results 101 to 110 of about 41,770 (202)

On the coherent Hopf 2-algebras

, 2020
We construct a coherent Hopf 2-algebra as quantization of a coherent 2-group, which consists of two Hopf coquasigroups and a coassociator. For this constructive method, if we replace Hopf coquasigroups by Hopf algebras, we can construct a strict Hoft 2 ...
Han, Xiao
core  

Translation Hopf Algebras and Hopf Heaps

Algebras and Representation Theory
AbstractTo every Hopf heap or quantum cotorsor of Grunspan a Hopf algebra of translations is associated. This translation Hopf algebra acts on the Hopf heap making it a Hopf-Galois co-object. Conversely, any Hopf-Galois co-object has the natural structure of a Hopf heap with the translation Hopf algebra isomorphic to the acting Hopf algebra. It is then
Brzeziński, Tomasz, Hryniewicka, Małgorzata   +1 more
openaire   +2 more sources

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
doaj  

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
doaj   +1 more source

Hopf (Bi-)Modules and Crossed Modules in Braided Monoidal Categories

, 1995
Hopf (bi-)modules and crossed modules over a bialgebra B in a braided monoidal category C are considered. The (braided) monoidal equivalence of both categories is proved provided B is a Hopf algebra (with invertible antipode).
Bespalov, Yuri, Drabant, Bernhard
core   +1 more source

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
doaj   +1 more source

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
doaj  

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
doaj  

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

Cubo, 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  

Realizations and star-product of doubly $$\kappa $$ κ -deformed Yang models

European Physical Journal C: Particles and Fields
The Yang algebra was proposed a long time ago as a generalization of the Snyder algebra to the case of curved background spacetime. It includes as subalgebras both the Snyder and the de Sitter algebras and can therefore be viewed as a model of ...
T. Martinić-Bilać, S. Meljanac, S. Mignemi   +2 more
doaj   +1 more source