Weyl Modules for the Hyperspecial Current Algebra

被引：16

作者：

Chari, Vyjayanthi ^{[1
]}

Ion, Bogdan ^{[2
,3
]}

Kus, Deniz ^{[4
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] Univ Bucharest, Algebra & Number Theory Res Ctr, Fac Math & Comp Sci, Bucharest, Romania

[4] Univ Cologne, Math Inst, D-50931 Cologne, Germany

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 15期

关键词：

DEMAZURE MODULES; CRYSTALS;

D O I：

10.1093/imrn/rnu135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop the theory of global and local Weyl modules for the hyperspecial current algebra of type A(2n)((2)). We prove that the dimension of a local Weyl module depends only on its highest weight, thus establishing a freeness result for global Weyl modules. Furthermore, we show that the graded local Weyl modules are level one Demazure modules for the corresponding affine Lie algebra. In the last section, we derive the same results for the special current algebras of the twisted affine Lie algebras not of type A(2n)((2)).

引用

页码：6470 / 6515

页数：46

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