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

Jonathan Brundan; Catharina Stroppel

Journal of the European Mathematical Society (2012)

- Volume: 014, Issue: 2, page 373-419
- ISSN: 1435-9855

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topBrundan, Jonathan, and Stroppel, Catharina. "Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup." Journal of the European Mathematical Society 014.2 (2012): 373-419. <http://eudml.org/doc/277272>.

@article{Brundan2012,

abstract = {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.},

author = {Brundan, Jonathan, Stroppel, Catharina},

journal = {Journal of the European Mathematical Society},

keywords = {general linear supergroup; Khovanov's diagram algebra; Koszul algebra; module; general linear supergroup; Khovanov's diagram algebra; Koszul algebra; module; atypicality},

language = {eng},

number = {2},

pages = {373-419},

publisher = {European Mathematical Society Publishing House},

title = {Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup},

url = {http://eudml.org/doc/277272},

volume = {014},

year = {2012},

}

TY - JOUR

AU - Brundan, Jonathan

AU - Stroppel, Catharina

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

JO - Journal of the European Mathematical Society

PY - 2012

PB - European Mathematical Society Publishing House

VL - 014

IS - 2

SP - 373

EP - 419

AB - 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.

LA - eng

KW - general linear supergroup; Khovanov's diagram algebra; Koszul algebra; module; general linear supergroup; Khovanov's diagram algebra; Koszul algebra; module; atypicality

UR - http://eudml.org/doc/277272

ER -

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