On Cohen-Macaulay Posets, Koszul Algebras and Certain Modules Associated to Schubert Varieties

DOI10.1112/blms/27.5.425zbMath0834.06007OpenAlexW2076308425MaRDI QIDQ4863824

Patrick Polo

Publication date: 28 January 1996

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

Full work available at URL: https://doi.org/10.1112/blms/27.5.425

zbMATH Keywords

Weyl groupcohomologysemisimple algebraic groupsKoszul algebrasCohen-Macaulay posetsBorel subgroupcategories of representationshigher Ext-groupsincidence algebra of a finite poset over a field

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Graded rings and modules (associative rings and algebras) (16W50) Algebraic aspects of posets (06A11)

Related Items (9)

Further properties and applications of Koszul pairs ⋮ Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry ⋮ Homology of generalized partition posets ⋮ Rouquier dimension is Krull dimension for normal toric varieties ⋮ Shift modules, strongly stable ideals, and their dualities ⋮ Splitting algebras: Koszul, Cohen-Macaulay and numerically Koszul. ⋮ Koszul incidence algebras, affine semigroups, and Stanley-Reisner ideals. ⋮ Full Graphs and Koszul Algebras I ⋮ On Koszulity of finite graded posets

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