Fundamental weights, permutation weights and Weyl character formula


KARADAYI H. R. , Gungormez M.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.32, no.9, pp.1701-1707, 1999 (SCI-Expanded) identifier identifier

Abstract

For a finite Lie algebra G(N) of rank N, the Weyl orbits W(Lambda(++)) of strictly dominant weights Lambda(++) contain dim W(G(N)) number of weights, where dim W/(G(N)) is the dimension of its Weyl group W/(G(N)). For any W(Lambda(++)), there is a very peculiar subset rho(Lambda(++)) for which we always have