Classical Bruhat orders and lexicographic shellability

DOI10.1016/0021-8693(82)90280-0zbMath0486.06002OpenAlexW2077148545MaRDI QIDQ1164651

Robert A. Proctor

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90280-0

zbMATH Keywords

Schubert varietiesCohen-Macaulay ringsYoung tableauxpermutation matricesStanley-Reisner ringsparabolic subgroupBruhat orderslexicographic shellabilityCoxeter-groupirreducible Weyl-group

Mathematics Subject Classification ID

Partial orders, general (06A06) Combinatorial identities, bijective combinatorics (05A19) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

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