A casimir element inexpressible as a lie polynomial

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

International Electronic Journal of Algebra

Volume

30

First Page

1

Last Page

15

Publication Date

2021

Abstract

Let q be a scalar that is not a root of unity. We show that any nonzero polynomial in the Casimir element of the Fairlie-Odesskii algebra U0 q (so3) cannot be expressed in terms of only Lie algebra operations performed on the generators I1, I2, I3 in the usual presentation of U0 q (so3). Hence, the vector space sum of the center of U0 q (so3) and the Lie subalgebra of U0 q (so3) generated by I1, I2, I3 is direct.

html

Digitial Object Identifier (DOI)

10.24330/ieja.969570

Disciplines

Mathematics

Keywords

Lie algebras; Polynomials; Quantum groups

Upload File

wf_no

This document is currently not available here.

Share

COinS