Zero Action on Perfect Crystals for U_q(G_2^{(1)})
The actions of 0-Kashiwara operators on the U_q(G_2^{(1)})-crystal B_l in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a U_q'(D_4^{(3)})-crystal. It is shown that {B_l}_{l ≥ 1} forms a coherent family of perfect crystals.
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National Academy of Science of Ukraine
2010-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.022 |
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doaj-bc27f7304d1340a889bd9e1277b44eb52020-11-25T00:18:37ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-03-016022Zero Action on Perfect Crystals for U_q(G_2^{(1)})Kailash C. MisraMahathir MohamadMasato OkadoThe actions of 0-Kashiwara operators on the U_q(G_2^{(1)})-crystal B_l in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a U_q'(D_4^{(3)})-crystal. It is shown that {B_l}_{l ≥ 1} forms a coherent family of perfect crystals. http://dx.doi.org/10.3842/SIGMA.2010.022combinatorial representation theoryquantum affine algebracrystal bases |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kailash C. Misra Mahathir Mohamad Masato Okado |
| spellingShingle |
Kailash C. Misra Mahathir Mohamad Masato Okado Zero Action on Perfect Crystals for U_q(G_2^{(1)}) Symmetry, Integrability and Geometry: Methods and Applications combinatorial representation theory quantum affine algebra crystal bases |
| author_facet |
Kailash C. Misra Mahathir Mohamad Masato Okado |
| author_sort |
Kailash C. Misra |
| title |
Zero Action on Perfect Crystals for U_q(G_2^{(1)}) |
| title_short |
Zero Action on Perfect Crystals for U_q(G_2^{(1)}) |
| title_full |
Zero Action on Perfect Crystals for U_q(G_2^{(1)}) |
| title_fullStr |
Zero Action on Perfect Crystals for U_q(G_2^{(1)}) |
| title_full_unstemmed |
Zero Action on Perfect Crystals for U_q(G_2^{(1)}) |
| title_sort |
zero action on perfect crystals for u_q(g_2^{(1)}) |
| publisher |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2010-03-01 |
| description |
The actions of 0-Kashiwara operators on the U_q(G_2^{(1)})-crystal B_l in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a U_q'(D_4^{(3)})-crystal. It is shown that {B_l}_{l ≥ 1} forms a coherent family of perfect crystals. |
| topic |
combinatorial representation theory quantum affine algebra crystal bases |
| url |
http://dx.doi.org/10.3842/SIGMA.2010.022 |
| work_keys_str_mv |
AT kailashcmisra zeroactiononperfectcrystalsforuqg21 AT mahathirmohamad zeroactiononperfectcrystalsforuqg21 AT masatookado zeroactiononperfectcrystalsforuqg21 |
| _version_ |
1725375572314423296 |