QUANTUM GROUP-REPRESENTATIONS AND PERMUTATIONS

被引：0

作者：

VASSEROT, E ^{[1
]}

机构：

[1] ECOLE NORMALE SUPER,CNRS,URA 762,F-75231 PARIS 05,FRANCE

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 1993年 / 26卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to give explicit formulas for V. Ginzburg's construction of some representations of the quantum enveloping algebra of the special linear group in the equivariant K-theory groups of an uncomplete flag manifold. V. Ginzburg's construction itself is inspired by a similar one over a finite given by A. A. Beilinson, G. Lusztig and R. Mac Pherson. We obtain explicit operators acting on some polynomials.

引用

页码：747 / 773

页数：27

共 11 条

[1] A GEOMETRIC SETTING FOR THE QUANTUM DEFORMATION OF GLN [J].

BEILINSON, AA ;

LUSZTIG, G ;

MACPHERSON, R .

DUKE MATHEMATICAL JOURNAL, 1990, 61 (02) :655-677

[2]

Berline N., 2003, HEAT KERNELS DIRAC O

[3]

Bernsten I. M., 1973, USPEHI MAT NAUK, V28, P3

[4]

BORHO W, 1983, ASTERISQUE, V101, P23

[5] HOMOGENEOUS VECTOR BUNDLES [J].

BOTT, R .

ANNALS OF MATHEMATICS, 1957, 66 (02) :203-248

[6]

BOTT R, 1982, DIFFERENTIAL FORMS A

[7]

DRINFELD VG, 1985, DOKL AKAD NAUK SSSR, V32, P254

[8]

GINZBURG V, 1991, CR ACAD SCI I-MATH, V312, P907

[9] A Q-DIFFERENCE ANALOG OF U(G) AND THE YANG-BAXTER EQUATION [J].

JIMBO, M .

LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (01) :63-69

[10] QUANTUM DEFORMATIONS OF CERTAIN SIMPLE MODULES OVER ENVELOPING-ALGEBRAS [J].

LUSZTIG, G .

ADVANCES IN MATHEMATICS, 1988, 70 (02) :237-249

← 1 2 →