Completely splittable representations of affine Hecke-Clifford algebras

TL;DR

This paper classifies and constructs irreducible completely splittable representations of affine and finite Hecke-Clifford algebras over algebraically closed fields, expanding understanding of their representation theory.

Contribution

It provides a complete classification and explicit construction of irreducible completely splittable representations for affine and finite Hecke-Clifford algebras.

Findings

Classification of irreducible completely splittable representations

Explicit construction methods provided

Enhanced understanding of Hecke-Clifford algebra representations

Abstract

We classify and construct irreducible completely splittable representations of affine and finite Hecke-Clifford algebras over an algebraically closed field of characteristic not equal to 2.