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

Cellini, Paola; Kac, Victor G.; Frajria, Pierluigi Moseneder; Papi, Paolo

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

Authors

Cellini, Paola

Kac, Victor G.

Frajria, Pierluigi Moseneder

Papi, Paolo

Description

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