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arXiv · 1002.3715

Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues

Cedric Lecouvey·Masato Okado·Mark Shimozono
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Abstract

This paper is concerned with one-dimensional sums in classical affine types. We prove a conjecture of the third author and Zabrocki by showing they all decompose in terms of one-dimensional sums related to affine type A provided the rank of the root system considered is sufficiently large. As a consequence, any one-dimensional sum associated to a classical affine root system with sufficiently large rank can be regarded as a parabolic Lusztig q-analogue.

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Cedric Lecouvey, Masato Okado, Mark Shimozono. 2010-02-19. Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues. https://arxiv.org/abs/1002.3715

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