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Trivial source character tables of $\operatorname{SL}_2(q)$, part II

Part of: Grothendieck groups and $K_0$ Representation theory of groups

Published online by Cambridge University Press:  30 June 2023

Niamh Farrell  and
Caroline Lassueur Open the ORCID record for Caroline Lassueur [Opens in a new window]
Niamh Farrell
Affiliation:
Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Leibniz Universität Hannover, Hannover, Germany ([email protected])
Caroline Lassueur
Affiliation:
FB Mathematik, RPTU Kaiserslautern-Landau, Kaiserslautern, Germany ([email protected])
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Abstract

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $\operatorname{SL}_{2}(q)$ for q even over a large enough field of odd characteristics. This article is a continuation of our article Trivial Source Character Tables of $\operatorname{SL}_{2}(q)$, where we considered, in particular, the case in which q is odd in non-defining characteristic.

Keywords

special linear grouptrivial source modulesp-permutation modulesspecies tablescharacter theoryblock theoryBrauer correspondenceGreen correspondence

MSC classification

Primary: 19A22: Frobenius induction, Burnside and representation rings 20C05: Group rings of finite groups and their modules 20C15: Ordinary representations and characters 20C20: Modular representations and characters 20C33: Representations of finite groups of Lie type
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 66 , Issue 3 , August 2023 , pp. 689 - 709
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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