Katsuyuki Naoi

  1. Demazure crystals and tensor products of perfect Kirillov-Reshetikhin crystals with various levels.

    Authors: Katsuyuki Naoi
    Subjects: Quantum Algebra
    Abstract

    In this paper, we study a tensor product of perfect Kirillov-Reshetikhin
    crystals (KR crystals, for short) whose levels are not necessarily equal. We
    show that, by tensoring with a certain highest weight element, such a crystal
    becomes isomorphic as full subgraphs to a certain disjoint union of Demazure
    crystals contained in a tensor product of highest weight crystals.

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