Reduced matrix elements of the orthosymplectic Lie superalgebra

TL;DR

This paper develops a method using characteristic identities to compute eigenvalues and reduced matrix elements for irreducible representations of the orthosymplectic Lie superalgebra, advancing constructive representation theory.

Contribution

It introduces a new approach to derive eigenvalue formulas and reduced matrix elements for osp(m|n) using characteristic identities, expanding the theoretical framework.

Findings

Eigenvalue formulas for osp(m|n) invariants derived

Reduced matrix elements explicitly constructed

Advances in constructive representation theory

Abstract

We utilise characteristic identities to construct eigenvalue formulae for invariants and reduced matrix elements corresponding to irreducible representations of osp(m|n). In presenting these results, we further develop our programme of constructive representation theory via characteristic identities.