Geometric crystals on flag varieties and unipotent subgroups of classical groups

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Igarashi, Maria¹  Nakashima, Toshiki¹ 

[1] Sophia Univ, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan

关键词: Geometric crystal;    Unipotent crystal;    Flag variety;    Fundamental representation;    Bilinear form;   

DOI  :  10.1016/j.geomphys.2011.07.001

来源: Elsevier

【 摘 要 】

For a classical simple algebraic group G, we obtain the affirmative answer for the conjecture in Nakashima (2005)[3] that there exists an isomorphism between the geometric crystal on the flag variety and the one on the maximal uni potent subgroup U(-). (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free