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
Hopf group braces, post-Hopf group algebras and Rota–Baxter operators on Hopf group algebras
Hopf group braces, post-Hopf group algebras and Rota–Baxter operators on Hopf group algebras
In this paper, we introduce the notions of Hopf group braces, post-Hopf group algebras, and Rota–Baxter Hopf group algebras as important generalizations of Hopf braces, post-Hopf a...
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...
Differential graded vertex Lie algebras
Differential graded vertex Lie algebras
This is the continuation of the study of differential graded (dg) vertex algebras defined in our previous paper [Caradot et al., “Differential graded vertex operator algebras and t...
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...
The Weak Ideal Property and Topological Dimension Zero
The Weak Ideal Property and Topological Dimension Zero
AbstractFollowing up on previous work, we prove a number of results for C* -algebras with the weak ideal property or topological dimension zero, and some results for C* -algebras w...