Characteristic polynomials and finitely dimensional representations of $\mathfrak{sl}(2, \mathbb{C})$
Abstract
In this paper, we obtain a general formula for the characteristic polynomial of a finitely dimensional representation of Lie algebra $\mathfrak{sl}(2, \C )$ and the form for these characteristic polynomials, and prove there is one to one correspondence between representations and their characteristic polynomials. We define a product on these characteristic polynomials, endowing them with a monoid structure.
 Publication:

arXiv eprints
 Pub Date:
 December 2021
 DOI:
 10.48550/arXiv.2112.07933
 arXiv:
 arXiv:2112.07933
 Bibcode:
 2021arXiv211207933J
 Keywords:

 Mathematics  Representation Theory
 EPrint:
 11 pages