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

Abstract

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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.

How to cite

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Brundan, 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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