Affine highest weight categories and affine quasihereditary algebras

DOI10.1112/plms/pdv004zbMath1360.16010arXiv1405.3328OpenAlexW1998295886MaRDI QIDQ5248611

Alexander S. Kleshchev

Publication date: 8 May 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3328

zbMATH Keywords

highest weight categorygraded modulesaffine algebraLaurent serieshomological dimensionsgraded algebraaffine cellular algebrafinite-dimensional algebrastratified algebraquasihereditary algebrastandard objectsCline-Parshall-Scott theoremLaurentian algebraNotherian Laurentian categories

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Graded rings and modules (associative rings and algebras) (16W50) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Noetherian rings and modules (associative rings and algebras) (16P40)

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