Work

Casimir eigenvalues for universal Lie algebra

Year: 2012

Type: article

Abstract: For two different natural definitions of Casimir operators for simple Lie algebras we show that their eigenvalues in the adjoint representation can be expressed polynomially in the universal Vogel's parameters α, β, γ and give explicit formulae for the generating functions of these eigenvalues.

Source: Journal of Mathematical Physics

DOI: 10.1063/1.4757763

Authors: R. L. Mkrtchyan, A. N. Sergeev, A. P. Veselov

Institutions: A. Alikhanyan National Laboratory, Saratov State University, Loughborough University, Lomonosov Moscow State University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Awards: G347999943, Symmetric Lie superalgebras and quantum integrability