Admissibility Conditions for Degenerate Cyclotomic BMW Algebras

TL;DR

This paper investigates the parameter conditions for degenerate cyclotomic BMW algebras, establishing an equivalence between a known admissibility condition and a module-theoretic criterion.

Contribution

It demonstrates that the u-admissibility condition is equivalent to a simple module condition, simplifying the understanding of parameter constraints.

Findings

u-admissibility is equivalent to a module-theoretic condition

Simplifies the criteria for degenerate cyclotomic BMW algebras

Provides a new perspective on algebra parameter admissibility

Abstract

We study admissibility conditions for the parameters of degenerate cyclotomic BMW algebras. We show that the u-admissibility condition of Ariki, Mathas and Rui is equivalent to a simple module theoretic condition.