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Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾)

The actions of 0-Kashiwara operators on the Uq'(GG₂⁽¹⁾)-crystal Bl in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a Uq'(D₄⁽³⁾)-crystal. It is shown that {Bl}l ≥ 1 forms a coherent family of perfect crystals.

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Bibliographic Details
Main Authors: Misra, K.C., Mohamad, M., Okado, M.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146307
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