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Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup

Jonathan Brundan, Catharina Stroppel (2012)

Journal of the European Mathematical Society

We prove that blocks of the general linear supergroup are Morita equivalent to a limiting version of Khovanov's diagram algebra. We deduce that blocks of the general linear supergroup are Koszul.

Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras

Nicole Snashall, Rachel Taillefer (2010)

Colloquium Mathematicae

We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of the generalized Taft algebras. We show, for these deformations, that the Hochschild cohomology ring modulo nilpotence is a finitely generated commutative algebra of Krull dimension 2.

Homotopy Lie algebras; lower central series and the Koszul property.

Papadima, Stefan, Suciu, Alexander I. (2004)

Geometry & Topology

Displaying 1 – 3 of 3

Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup

Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras

Homotopy Lie algebras; lower central series and the Koszul property.

Currently displaying 1 – 3 of 3