Branching rules for the Weyl group orbits of the Lie algebra A(n)
Mathematical Physics
2010-06-29 v1 math.MP
Representation Theory
Abstract
The orbits of Weyl groups W(A(n)) of simple A(n) type Lie algebras are reduced to the union of orbits of the Weyl groups of maximal reductive subalgebras of A(n). Matrices transforming points of the orbits of W(An) into points of subalgebra orbits are listed for all cases n<=8 and for the infinite series of algebra-subalgebra pairs A(n) - A(n-k-1) x A(k) x U(1), A(2n) - B(n), A(2n-1) - C(n), A(2n-1) - D(n). Numerous special cases and examples are shown.
Keywords
Cite
@article{arxiv.0909.2337,
title = {Branching rules for the Weyl group orbits of the Lie algebra A(n)},
author = {M. Larouche and M. Nesterenko and J. Patera},
journal= {arXiv preprint arXiv:0909.2337},
year = {2010}
}
Comments
14 pages, submitted to J. Phys. A : Math. Theor