Tensor powers of adjoint representations ot classical Lie groups
Representation Theory
2022-12-29 v1 Mathematical Physics
math.MP
Abstract
Exploiting particular features of classical groups, simple constructions are given for the irreducible constituents of the tensor square of the adjoint modules and the leading terms in higher tensor powers. This provides an independent confirmation of Vogel's general formulae, and alternative approach to that in some recent papers.
Cite
@article{arxiv.2212.13787,
title = {Tensor powers of adjoint representations ot classical Lie groups},
author = {Keith Hannabuss},
journal= {arXiv preprint arXiv:2212.13787},
year = {2022}
}
Comments
17 pages. References to previous similar constructions would be welcome