Branching rule on winding subalgebras of affine Kac-Moody algebras
Abstract
In this paper, by using the Lakshmibai-Seshadri paths, we give the branching rule for representations of affine Kac-Moody algebras to their winding subalgebras. As a corollary, we can describe branching multiplicities in the language of paths. An analog of Steinberg's formula for branching multiplicities is also given.
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