Springer's work on unipotent classes and Weyl group representations

DOI10.1016/j.indag.2020.08.007OpenAlexW3083495300MaRDI QIDQ1983962

George Lusztig

Publication date: 13 September 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11996

zbMATH Keywords

algebraic groupsWeyl groupunipotent conjugacy classesSpringer correspondenceSpringer fibre

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Cites Work

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• On the Green polynomials of classical groups
• Green functions of finite Chevalley groups of type \(E_ n (n=6,7,8)\)
• Green polynomials and singularities of unipotent classes
• Representations of reductive groups over finite fields
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• Proof of Springer's hypothesis
• Regular elements of semisimple algebraic groups
• Some arithmetical results on semi-simple Lie algebras
• On the Schur indices of characters of the exceptional Weyl groups
• The Characters of the Finite General Linear Groups
• Homology of the Zero-Set of a Nilpotent Vector Field on a Flag Manifold
• On the green polynomials of a chevalley group of type f₄
• The Characters of the Finite Symplectic Group Sp(4,q)
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups

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