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Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾)
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾)
Інший ID:
s 2010 Mathematics Subject Classification: 05E99; 17B37; 17B67; 81R10; 81R
DOI:10.3842/SIGMA.2010.022
DOI:10.3842/SIGMA.2010.022
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the Workshop “Geometric Aspects of Discrete and UltraDiscrete Integrable Systems” (March 30 – April 3, 2009, University of Glasgow, UK). The full collection is available at http://www.emis.de/journals/SIGMA/GADUDIS2009.html.
KCM thanks the faculty and staf f of Osaka University for their hospitality during his visit in
August, 2009 and acknowledges partial support from NSA grant H98230-08-1-0080. MM would like to thank Universiti Tun Hussein Onn Malaysia for supporting this study. MO would like to thank the organizers of the conference “Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems” held during March 30 – April 3, 2009 at Glasgow for a warm hospitality and acknowledges partial support from JSPS grant No. 20540016
Дата:
2010
Переглядів:
1017
Завантажень:
394
Анотація:
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.
