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Graded Limits of Minimal Affinizations in Type D
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Graded Limits of Minimal Affinizations in Type D
Інший ID:
2010 Mathematics Subject Classification: 17B37; 17B10
DOI:10.3842/SIGMA.2014.047
DOI:10.3842/SIGMA.2014.047
Посилання:
Graded Limits of Minimal Affinizations in Type D / K. Naoi // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 22 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is
available at http://www.emis.de/journals/SIGMA/LieTheory2014.html.
The author would like to thank Steven V. Sam for informing him of the results in [22]. This
work was supported by JSPS Grant-in-Aid for Young Scientists (B) No. 25800006, and by World
Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.
Дата:
2014
Переглядів:
434
Завантажень:
244
Анотація:
We study the graded limits of minimal affinizations over a quantum loop algebra of type D in the regular case. We show that the graded limits are isomorphic to multiple generalizations of Demazure modules, and also give their defining relations. As a corollary we obtain a character formula for the minimal affinizations in terms of Demazure operators, and a multiplicity formula for a special class of the minimal affinizations.
