Symmetric subgroup invariants in irreducible representations of \(G^F\), when \(G=\text{GL}_n\)
From MaRDI portal
Publication:1868918
DOI10.1016/S0021-8693(02)00559-8zbMath1020.20030MaRDI QIDQ1868918
Publication date: 28 April 2003
Published in: Journal of Algebra (Search for Journal in Brave)
invariantslinear algebraic groupsrepresentation theoryirreducible representationsconnected reductive groups
Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Actions of groups on commutative rings; invariant theory (13A50)
Related Items
Generic representations for symmetric spaces. With an appendix by Yiannis Sakellaridis. ⋮ Induced characters of the projective general linear group over a finite field. ⋮ On the characteristic map of finite unitary groups. ⋮ The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\) ⋮ \(\mathrm{Sp}_{2n}(\mathbb F_{q^2})\)-invariants in irreducible unipotent representations of \(\mathrm{Sp}_{4n}(\mathbb F_q)\). ⋮ Distinguished tame supercuspidal representations of symmetric pairs \(\mathrm{Sp}_{4n}(F), \mathrm{Sp}_{2n}(E))\). With an appendix by Dihua Jiang and Lei Zhang ⋮ Values of character sums for finite unitary groups. ⋮ Invariant polynomials on tensors under the action of a product of orthogonal groups ⋮ Symplectic models for unitary groups ⋮ On some relatively cuspidal representations: cases of Galois and inner involutions on \(\mathrm{GL}_n\) ⋮ Appendix: On some Gelfand pairs and commutative association schemes.
Cites Work
- Counting conjugacy classes in symmetric spaces over \(\mathbb{F}_q\)
- Singularities of closures of K-orbits on flag manifolds
- Representations of reductive groups over finite fields
- The characters of the finite unitary groups
- The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\)
- Characters of Reductive Groups over a Finite Field. (AM-107)
- The Characters of the Finite General Linear Groups
- On the Green Polynomials of Classical Groups
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item