Kirillov polynomials for the exceptional Lie algebra \(\mathfrak{g}_2\)

DOI10.1007/S40598-024-00247-8MaRDI QIDQ6643203

Martin T. Luu

Publication date: 26 November 2024

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

orbit methodSpringer correspondenceKirillov polynomials

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Simple, semisimple, reductive (super)algebras (17B20) Diagonalization, Jordan forms (15A20)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Calculating conjugacy classes in Sylow \(p\)-subgroups of finite Chevalley groups.
• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• Some algorithms for the calculation of conjugacy classes in the Sylow \(p\)-subgroups of \(\text{GL}(n,q)\)
• Jordan types of triangular matrices over a finite field

This page was built for publication: Kirillov polynomials for the exceptional Lie algebra \(\mathfrak{g}_2\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6643203)