On the irreducible representation algebra of the alternating group of degree four

TL;DR

This paper describes the structure of the irreducible representation algebra of the alternating group of degree four over the 2-adic integers, providing insights into its algebraic properties.

Contribution

It offers a detailed description of the irreducible representation algebra of A4 over the 2-adic integers, a novel algebraic characterization.

Findings

Explicit description of the algebra's structure

Identification of algebraic invariants

Insights into modular representation theory

Abstract

We obtain a description of the irreducible representation algebra of the alternating group of degree four over the ring of 2-adic integers.