Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Cocycle deformations for weak Hopf algebras
View through CrossRef
In this paper we introduce a theory of multiplication alteration by
two-cocycles for weak Hopf algebras. We show that, just like it happens for
Hopf algebras, if H a weak Hopf algebra and H? its weak Hopf algebra
deformation by a 2-cocycle ?, there is a braided monoidal category
equivalence between the categories of left-right Yetter-Drinfel?d modules
HYDH and H?YDH?. As a consequence we get in this context that the category
Rep(D(H)) of left modules over the Drinfel?d double D(H) can be identified
with the category Rep(D(H?)) of left modules over the Drinfel?d double
D(H?).
Title: Cocycle deformations for weak Hopf algebras
Description:
In this paper we introduce a theory of multiplication alteration by
two-cocycles for weak Hopf algebras.
We show that, just like it happens for
Hopf algebras, if H a weak Hopf algebra and H? its weak Hopf algebra
deformation by a 2-cocycle ?, there is a braided monoidal category
equivalence between the categories of left-right Yetter-Drinfel?d modules
HYDH and H?YDH?.
As a consequence we get in this context that the category
Rep(D(H)) of left modules over the Drinfel?d double D(H) can be identified
with the category Rep(D(H?)) of left modules over the Drinfel?d double
D(H?).
Related Results
Weak pseudo-BCK algebras
Weak pseudo-BCK algebras
Abstract
In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BC...
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
Central invariants and enveloping algebras of braided Hom-Lie algebras
Central invariants and enveloping algebras of braided Hom-Lie algebras
Let (H,?) be a monoidal Hom-Hopf algebra and HH HYD the Hom-Yetter-Drinfeld
category over (H,?). Then in this paper, we first introduce the definition
of braided Hom-Lie alge...
Antiplane Deformations
Antiplane Deformations
As a starter for anisotropic elastostatics we study special two-dimensional deformations of anisotropic elastic bodies, namely, antiplane deformations. Not all anisotropic elastic ...
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
The purpose of this paper is to study the $\mathcal{O}$-operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by $\mathcal{O}$-operators. Furthe...
WITHDRAWN: Roughness in L-algebras
WITHDRAWN: Roughness in L-algebras
Abstract
The aim of this paper is to introduce rough approximation on L−algebras. We investigate the relationship between subalgebras, ideals and rough subalgebras, rough i...
On t-derivations of PMS-algebras
On t-derivations of PMS-algebras
Background PMS algebras are a type of algebraic structure that has been studied extensively in recent years. They are a generalization of several other algebraic structures, such a...
Some Results on Quasi MV-Algebras and Perfect Quasi MV-Algebras
Some Results on Quasi MV-Algebras and Perfect Quasi MV-Algebras
Abstract
Quasi MV-algebras are a generalization of MV-algebras and they are motivated by the investigation of the structure of quantum logical gates. In the first part, w...