Conjugacy classes in the symplectic Renner monoid.

DOI10.1016/j.jalgebra.2010.06.001zbMath1216.20056OpenAlexW2031529572MaRDI QIDQ615866

You'an Cao, Zhenheng Li, Zhuo Li

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.06.001

zbMATH Keywords

numbers of conjugacy classesMunn conjugacy classesrook monoidssymplectic partitionssymplectic Renner monoidssymplectic Weyl groups

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30) Algebraic monoids (20M32)

Related Items (1)

Algebraic Monoids and Renner Monoids

Cites Work

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• Analogue of the Bruhat decomposition for algebraic monoids
• Linear algebraic monoids.
• Representations of the rook monoid.
• Hecke algebras and monoid conjugacy classes
• Conjugacy decomposition of reductive monoids.
• THE RENNER MONOIDS AND CELL DECOMPOSITIONS OF THE SYMPLECTIC ALGEBRAIC MONOIDS
• REPRESENTATIONS OF THE SYMPLECTIC ROOK MONOID
• Conjugacy Classes in Algebraic Monoids
• Cojugacy classes of semisimple elements, and irreducible representations of algebraic monoids
• Conjugacy Classes and Nilpotent Variety of a Reductive Monoid
• Conjugacy Classes in Algebraic Monoids II

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