Casimir Invariants for Quantized Affine Lie Algebras
M.D.Gould, Y.-Z.Zhang
TL;DR
This paper constructs Casimir invariants for quantized affine Lie algebras and computes their eigenvalues across all irreducible highest weight representations, advancing understanding of their algebraic structure.
Contribution
It introduces explicit constructions of Casimir invariants for quantized affine Lie algebras and provides formulas for their eigenvalues in irreducible highest weight modules.
Findings
Explicit Casimir invariants constructed for quantized affine Lie algebras.
Eigenvalues computed for all irreducible highest weight representations.
Enhances algebraic understanding of quantized affine Lie structures.
Abstract
Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed in any irreducible highest weight representation.
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