ABSTRACT: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 interpretation of these formulas in terms of certain abelian subalgebras of simple Lie algebras. © 2006 Elsevier Inc. All rights reserved.

Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of $\Bbb Z\sb 2$-graded Lie algebras.

MÖSENEDER FRAJRIA, PIERLUIGI;
2006-01-01

Abstract

ABSTRACT: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 interpretation of these formulas in terms of certain abelian subalgebras of simple Lie algebras. © 2006 Elsevier Inc. All rights reserved.
2006
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/244309
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