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On the cohomology of a Galois entwining

2004/10/05 by Mariano Suárez-Álvarez, Mariano Suarez-Alvarez, Suarez-Alvarez, Mariano
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.KT #math.QA #msc:16E40 #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0410126

LaTeX, 3 pages

arxiv created 2004/10/05 · arxiv updated 2009/12/01

Abstract

In this short note, we show that the cohomology of an algebra entwined with a coalgebra as defined by T. Brzeziński (J. Algebra 235 (2001), no. 1, 176--202; arXiv:math.RA/9909108) computes the Hochschild cohomology of the subalgebra of coinvariants when the extension is Galois.

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