Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups
DOI10.1007/s00031-023-09793-5zbMath1528.20087arXiv2203.02900MaRDI QIDQ6063040
Alexander E. Zalesskij, Donna M. Testerman
Publication date: 2 December 2023
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.02900
irreducible representationmaximal torussemisimple elementsimple linear algebraic groupregular element
Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Classical groups (algebro-geometric aspects) (14L35) Structure theory for linear algebraic groups (20G07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights
- On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.
- Singer cycles in 2-modular representations of the group \(\mathrm{GL}_{n+1}(2)\)
- Turning weight multiplicities into Brauer characters
- Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
- The maximal subgroups of classical algebraic groups
- WEIGHTS OF INFINITESIMALLY IRREDUCIBLE REPRESENTATIONS OF CHEVALLEY GROUPS OVER A FIELD OF PRIME CHARACTERISTIC
- Small Degree Representations of Finite Chevalley Groups in Defining Characteristic
- Unisingular representations of finite symplectic groups
- Eléments de Mathématique. Groupes et algèbres de Lie
This page was built for publication: Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups
