1995Journal of Mathematical PhysicsRequires access

A remark on the Casimir elements of Lie superalgebras and quantized Lie superalgebras

Andrzej Leśniewski

Open publisher page 27 citations

Abstract

It is shown that the second order Casimir operators C and Cq of the Lie superalgebra osp(1‖2) and the quantized Lie superalgebra ospq(1‖2), respectively, possess natural square roots.

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What this paper is about

It is shown that the second order Casimir operators C and Cq of the Lie superalgebra osp(1‖2) and the quantized Lie superalgebra ospq(1‖2), respectively, possess natural square roots.

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OpenAlex reports 27 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It is shown that the second order Casimir operators C and Cq of the Lie superalgebra osp(1‖2) and the quantized Lie superalgebra ospq(1‖2), respectively, possess natural square roots.

Key concepts: Lie superalgebra, Casimir effect, Mathematics, Supermatrix, Adjoint representation, Pure mathematics, Simple Lie group, Casimir element

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