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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2010 |
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| Sprache: | Englisch |
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Інститут математики НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146307 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862557661956931584 |
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| author | Misra, K.C. Mohamad, M. Okado, M. |
| author_facet | Misra, K.C. Mohamad, M. Okado, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2025-11-25T22:44:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146307 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T22:44:46Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Misra, K.C. Mohamad, M. Okado, M. 2019-02-08T20:15:28Z 2019-02-08T20:15:28Z 2010 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. 1815-0659 s 2010 Mathematics Subject Classification: 05E99; 17B37; 17B67; 81R10; 81R DOI:10.3842/SIGMA.2010.022 https://nasplib.isofts.kiev.ua/handle/123456789/146307 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. 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 en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) Article published earlier |
| spellingShingle | Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) Misra, K.C. Mohamad, M. Okado, M. |
| title | Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) |
| title_full | Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) |
| title_fullStr | Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) |
| title_full_unstemmed | Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) |
| title_short | Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) |
| title_sort | zero action on perfect crystals for uq(g₂⁽¹⁾) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146307 |
| work_keys_str_mv | AT misrakc zeroactiononperfectcrystalsforuqg21 AT mohamadm zeroactiononperfectcrystalsforuqg21 AT okadom zeroactiononperfectcrystalsforuqg21 |