Self-dual representations of SL(2,F): an approach using the Iwahori–Hecke algebra

DOI10.1080/00927872.2019.1581211zbMath1432.20031OpenAlexW2922334058MaRDI QIDQ5227696

Brahadeesh Sankarnarayanan, Kumar Balasubramanian, K. S. Senthil Raani

Publication date: 7 August 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1581211

zbMATH Keywords

signsIwahori subgroupsself-dual representations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

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• On the self-dual representations of finite groups of Lie type
• Iwahori-Hecke algebras and their representation theory. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, June 28--July 6, 1999
• Self-dual representations with vectors fixed under an Iwahori subgroup.
• Self-dual representations of $\operatorname {SL}(n,F)$

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