Universal deformation formulas and braided module algebras

被引：6

作者：

Guccione, Jorge A. ^{[1
]}

Guccione, Juan J. ^{[1
]}

Valqui, Christian ^{[2
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

[2] PUCP, Inst Matemat & Ciencias Afines, Secc Matemat, Lima 32, Peru

来源：

JOURNAL OF ALGEBRA | 2011年 / 330卷 / 01期

关键词：

Crossed product; Deformation; Hochschild cohomology; HOPF-ALGEBRAS; TENSOR CATEGORIES; CROSSED-PRODUCTS;

D O I：

10.1016/j.jalgebra.2010.12.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study formal deformations of a crossed product S(V)#(f) G, of a polynomial algebra with a group, induced from a universal deformation formula introduced by Witherspoon. These deformations arise from braided actions of Hopf algebras generated by automorphisms and skew derivations. We show that they are non-trivial in the characteristic free context, even if G is infinite, by showing that their infinitesimals are not coboundaries. For this we construct a new complex which computes the Hochschild cohomology of S(V)# (f) G. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：263 / 297

页数：35

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