Character and dimension formulae for queer Lie superalgebra

TL;DR

This paper derives explicit formulas for characters and dimensions of finite-dimensional simple modules of the queer Lie superalgebra q(n), enhancing computational methods for representation theory.

Contribution

It refines Brundan's algorithm to produce closed-form character and dimension formulas for q(n) modules, advancing understanding of queer Lie superalgebra representations.

Findings

Closed formulas for characters and dimensions of simple modules

Refinement of Brundan's algorithm for q(n)

Improved computational tools for queer Lie superalgebra representations

Abstract

Closed formulae are constructed for the characters and dimensions of the finite dimensional simple modules of the queer Lie superalgebra q(n). This is achieved by refining Brundan's algorithm for computing simple q(n)-characters.