On a higher level extension of Leclerc-Thibon product theorem in q-deformed Fock spaces

JOURNAL OF ALGEBRA

卷:371

Article

Iijima, Kazuto

关键词: Representation theory;    Combinatorics;    Affine Hecke algebra;    Quantum enveloping algebra;   

DOI  :  10.1016/j.jalgebra.2012.07.032

来源: Elsevier

【 摘 要 】

The q-deformed Fock spaces of higher levels were introduced by Jimbo-Misra-Miwa-Okado. Uglov defined a canonical bases in q-deformed Fock spaces of higher levels. Leclerc-Thibon showed a product theorem in q-deformed Fock spaces of level one. The product theorem is regarded as a formal q-analogue of the tensor product theorem of level one. In this paper, we show a higher level analogue of Leclerc-Thibon product theorem under a suitable multi charge condition. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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