Trivial source character tables of SL(2,q)

2021/07/13 by Böhmler, Bernhard, Farrell, Niamh, Lassueur, Caroline
#20C20 #20C33 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2107.06241

Abstract

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic ℓ via character-theoretical methods in the cases in which q is odd, ℓ | (q±1) when~ℓ is odd, and q≡ ± 3\pmod8 when ℓ=2.

Related

• Trivial source character tables of SL₂(q), Part II
• The scheme of characters in SL 2
• Characters of SL(2) Representations of Groups
• Trivial source characters in blocks of domestic representation type
• The character table of the finite Chevalley group F₄(q) for q a power of~2