SOME REMARKABLE DEGENERATIONS OF QUANTUM GROUPS

被引：36

作者：

DECONCINI, C

KAC, VG

PROCESI, C

机构：

[1] MIT,DEPT MATH,CAMBRIDGE,MA 02139

[2] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT,ROME,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 157卷 / 02期

关键词：

D O I：

10.1007/BF02099768

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that an irreducible representation of a quantized enveloping algebra U(epsilon) at a l(th) root of 1 has maximal dimension (= l(N)) if the corresponding symplectic leaf has maximal dimension (= 2N). The method of the proof consists of a construction of a sequence of degenerations of U(epsilon), the last one being a q-commutative algebra U(epsilon)(2N). This allows us to reduce many problems concerning U(epsilon) to that concerning U(epsilon)(2N).

引用

页码：405 / 427

页数：23

共 14 条

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[2] ON AZUMAYA ALGEBRAS AND FINITE DIMENSIONAL REPRESENTATIONS OF RINGS [J].