CANONICAL BASES IN TENSOR-PRODUCTS

被引：61
作者：
LUSZTIG, G
机构：
[1] Department of Mathematics, Massachusetts Inst. of Technology, Cambridge
来源：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1992年 / 89卷 / 17期
关键词：
QUANTIZED ENVELOPING ALGEBRA; R-MATRIX; HIGHEST WEIGHT REPRESENTATION; COORDINATE ALGEBRA;
D O I：
10.1073/pnas.89.17.8177
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
I construct a canonical basis in the tensor product of a simple integrable highest weight module with a simple integrable lowest weight module of a quantized enveloping algebra. This basis is simultaneously compatible with many submodules of the tensor product. As an application, I obtain a construction of a canonical basis of (a modified form of) the quantized enveloping algebra.
引用
收藏
页码：8177 / 8179
页数：3
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