On the self-dual representations of finite groups of Lie type

DOI10.1006/jabr.1998.7550zbMath0922.20020OpenAlexW1965083241WikidataQ115395863 ScholiaQ115395863MaRDI QIDQ1276990

Dipendra Prasad

Publication date: 22 August 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7550

zbMATH Keywords

finite groups of Lie typegeneric representationsspecial linear groupsself-dual irreducible complex representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (16)

Generalized Frobenius-Schur numbers. ⋮ Self-dual representations of $\operatorname {SL}(n,F)$ ⋮ Real and strongly real classes in PGL n (q) and quasi-simple covers of PSL n (q) ⋮ A note on self-dual representations of \(\mathrm{Sp}(4,F)\) ⋮ Reality properties of conjugacy classes in algebraic groups. ⋮ A note on sign of a self-dual representation ⋮ A Factorization inGSp(V) ⋮ On certain multiplicity one theorems ⋮ Shintani lifting and real-valued characters. ⋮ Involutions acting on representations. ⋮ CHARACTER DEGREE SUMS AND REAL REPRESENTATIONS OF FINITE CLASSICAL GROUPS OF ODD CHARACTERISTIC ⋮ Duality, central characters, and real-valued characters of finite groups of Lie type. ⋮ Self-dual representations of SL(2,F): an approach using the Iwahori–Hecke algebra ⋮ The Schur indices of the irreducible characters of the special linear groups ⋮ Selmer groups and the Eisenstein-Klingen ideal. ⋮ Twisted Frobenius-Schur indicators of finite symplectic groups.

Cites Work

• Real representations of the finite orthogonal and symplectic groups of odd characteristic
• Howe correspondences on a \(p\)-adic field
• On the Schur indices of certain irreducible characters of reductive groups over finite fields
• L-indistinguishability and R groups for the special linear group
• On the Schur indices of GL(n,q) and SL(2n+1,q)
• Some remarks on representations of a division algebra and of the Galois group of a local field
• Lectures on Chevalley Groups
• On the Schur Indices of Characters of Finite Classical Groups
• ON THE SCHUR INDICES OF REDUCTIVE GROUPS II
• On Irreducible Representations of So_2n+1 × So_2m

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