Quasideterminants and Casimir elements for the general Lie superalgebra

Abstract

We apply the techniques of quasideterminants to construct new families of Casimir elements for the general Lie superalgebra whose images under the Harish-Chandra isomorphism are respectively the elementary, complete and power sums supersymmetric functions

minor changes, to appear in IMRN

References in corpus (1)

• Minor Identities for Quasideterminants and Quantum Determinants

Cited by in corpus (4)

• Quantum spectral curves, quantum integrable systems and the geometric Langlands correspondence
• An algebraic scheme associated with the noncommutative KP hierarchy and some of its extensions
• Drinfeld Yangian of the queer Lie superalgebra. I
• Application of quasideterminants to the inverse of block triangular matrices over noncommutative rings