Depth one extensions of semisimple algebras and Hopf subalgebras

2011/03/03 by Sebastian Burciu, S. Burciu, Burciu, S. · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA #math.RA

paper · pdf · doi:10.48550/arxiv.1103.0685

10 pages, submitted

arxiv created 2011/03/03 · arxiv updated 2011/03/04

Abstract

An extension of k-algebras B ⊂ A is said to have depth one if there exists a positive integer n such that A is a direct summand of Bⁿ in _B\mtrMod_B. Depth one extensions of semisimple algebras are completely characterized in terms of their centers. For extensions of semisimple Hopf algebras our results are similar to those obtained for finite group algebra extensions in \citeBKone.

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