PARABOLIC MONOIDS I: STRUCTURE

DOI10.1142/S0218196706003414zbMath1127.20045MaRDI QIDQ3430313

Putcha, Mohan S.

Publication date: 21 March 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Weyl groupsparabolic subgroupsreductive groupsfinite groups of Lie typelinear algebraic monoidsreductive monoidsRenner monoidsBruhat decompositionsBruhat-Chevalley ordersBruhat-Renner decompositionsparabolic submonoidsfinite monoids of Lie typePutcha lattices of cross-sections

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (8)

Stirling posets ⋮ The Structure of Affine Algebraic Monoids in Terms of Kernel Data ⋮ Algebraic Monoids and Renner Monoids ⋮ Affinely spanned quasi-stochastic algebraic monoids ⋮ The Bruhat-Chevalley-Renner order on the set partitions ⋮ Parabolic subgroups and algebraic monoids. ⋮ ROOT SEMIGROUPS IN REDUCTIVE MONOIDS ⋮ Various Forms of Generating Subsemigroups in Algebraic Monoids

Cites Work

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• Bruhat order of Coxeter groups and shellability
• Representations of Coxeter groups and Hecke algebras
• Modular representations of finite monoids of Lie type
• Classification of monoids of Lie type
• Analogue of the Bruhat-Chevalley order for reductive monoids
• Monoids on groups with BN-pairs
• Shellability in reductive monoids
• Monoid Hecke algebras
• Deligne–Lusztig characters for finite reductive monoids

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