Nilpotent orbits and commutative elements

DOI10.1006/jabr.1997.7119zbMath0915.20019OpenAlexW2040537371MaRDI QIDQ1372637

C. Kenneth Fan, John R. Stembridge

Publication date: 7 July 1999

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

Full work available at URL: https://semanticscholar.org/paper/2cd7fd0def059d9be958e37cc4d6290cb537817f

zbMATH Keywords

affine Weyl groupsgenerating setsroot systemsfinite Weyl groupssimply laced Coxeter groupsSpaltenstein-Springer-Steinberg cells

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

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Cites Work

• Fixed point varieties on affine flag manifolds
• Complexity and nilpotent orbits
• On the fully commutative elements of Coxeter groups
• A Hecke algebra quotient and some combinatorial applications
• Affine Weyl groups and conjugacy classes in Weyl groups
• Some combinatorial aspects of reduced words in finite Coxeter groups
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
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