Irreducible tensor products for alternating groups in characteristics 2 and 3

2019/01/21 by Lucia Morotti, Morotti, Lucia
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1901.06997

openalex publication_date 2019/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study irreducible tensor products of representations of alternating groups in characteristics 2 and 3. In characteristic 3 we completely classify irreducible tensor products, while in characteristic 2 we completely classify irreducible tensor products where none of the modules appearing in the product is a basic spin module. In characteristic 2 we also give some necessary conditions for the tensor product of an irreducible module with a basic spin module to be irreducible.

Related

• Irreducible tensor products for alternating groups in characteristic 2
• Irreducible tensor products for alternating groups in characteristic 5
• Irreducible tensor products of representations of covering groups of\n symmetric and alternating groups
• Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime
• A general tensor product theorem