Characteristic polynomials for classical Lie algebras

Autor:	Feng, Chenyue, Liu, Shoumin, Wang, Xumin
Rok vydání:	2024
Předmět:	Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	In this paper, we will compute the characteristic polynomials for finite dimensional representations of classical complex Lie algebras and the exceptional Lie algebra of type G2, which can be obtained through the orbits of integral weights under the action of their corresponding Weyl groups and the invariant polynomial theory of the Weyl groups. We show that the characteristic polynomials can be decomposed into products of irreducible orbital factors, each of which is invariant under the action of their corresponding Weyl groups. Comment: 26pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.19354 Zobrazit plný text záznamu View this record from Arxiv