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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2010
• Hauptverfasser: Misra, K.C., Mohamad, M., Okado, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146307
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) / K.C. Misra, M. Mohamad, M. Okado // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ.

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.