The λstructure of the green ring of GL(2,Fp)in characteristic P

DOI10.1080/00927879008823989zbMath0760.20004OpenAlexW4241283396MaRDI QIDQ4713027

Frank M. Kouwenhoven

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879008823989

zbMATH Keywords

tensor productsindecomposable modulesindecomposable representationssymmetric powersGreen ring\(p\)-modular representation

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (6)

Modular plethystic isomorphisms for two-dimensional linear groups ⋮ Adams operations on the Green ring of a cyclic group of prime-power order ⋮ TheλX-structure of the green ring of GL(2,F_p) in characteristic P. II ⋮ The λstructure of the green ring of GL(2, (F_p) in characteristic P, III ⋮ The λ- structure of the green ring Of GL(2,F_p) in characteristic, IV ⋮ A random walk on the indecomposable summands of tensor products of modular representations of \(SL_2\left ({\mathbb{F}_p}\right )\)

Cites Work

• Representations of \(\text{SL}(2,\mathbb{C})\) and unimodal polynomials.
• Some formulas in invariant theory
• A study of certain modular representations
• Groups with a T. I. cyclic Sylow subgroup
• Principal indecomposable representations for the group SL(2,q)
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism

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