Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras

Details Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras

2005-06-15

arxiv.org/abs/math-ph/0506043v2

Adv. Math. 207 (2006), no. 1, 156--204.

Physics

Mathematical Physics

Latex, 56 pages, revised version: minor corrections, Subsection 6.2 added. To appear in Advances in Mathematics

Scientific paper

We give uniform formulas for the branching rules of level 1 modules over
orthogonal affine Lie algebras for all conformal pairs associated to symmetric
spaces. We also provide a combinatorial intepretation of these formulas in
terms of certain abelian subalgebras of simple Lie algebras.

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