Some Homological Properties of Tensor and Wreath Products of Quasi-hereditary Algebras

2012/12/12 by Aaron Chan, Chan, Aaron
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.RT

paper · pdf · doi:10.48550/arxiv.1212.2842

13 pages

arxiv created 2012/12/12 · arxiv updated 2012/12/13

Abstract

We show that taking the wreath product of a quasi-hereditary algebra with symmetric group inherits several homological properties of the original algebra, namely BGG duality, standard Koszulity, balancedness as well as a condition which makes the Ext-algebra of its standard modules a Koszul algebra.

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