UNIVERSAL R-MATRIX FOR QUANTIZED (SUPER)ALGEBRAS

被引：247

作者：

KHOROSHKIN, SM ^{[1
]}

TOLSTOY, VN ^{[1
]}

机构：

[1] MV LOMONOSOV STATE UNIV,INST NUCL PHYS,MOSCOW 119899,USSR

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 141卷 / 03期

关键词：

D O I：

10.1007/BF02102819

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For quantum deformations of finite-dimensional contragredient Lie (super)algebras we give an explicit formula for the universal R-matrix. This formula generalizes the analogous formulae for quantized semisimple Lie algebras obtained by M. Rosso, A. N. Kirillov, and N. Reshetikhin, Ya. S. Soibelman, and S. Z. Levendorskii. Our approach is based on careful analysis of quantized rank 1 and 2 (super)algebras, a combinatorial structure of the root systems and algebraic properties of q-exponential functions. We don't use quantum Weyl group.

引用

页码：599 / 617

页数：19

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