Tight Monomials for Type G 2 and A 3

Tight Monomials for Type G 2 and A 3
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DOI:
10.1080/00927870903200919
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发表时间:
2010-09
影响因子:
0.7
通讯作者:
Xiaoming Wang
Xiaoming Wang
中科院分区:
数学3区
文献类型:
--
作者:
Xiaoming Wang

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整体晶体基(又称为典范基)在量子群及其表示理论中起着重要的作用.紧单式是正则基中最简单的元素。本文在Reineke,Deng和Du的工作基础上,完全确定了G2和A3型量子化包络代数中的紧单式.
The global crystal basis or canonical basis plays an important role in the theory of the quantum groups and their representations. The tight monomials are the simplest elements in the canonical basis. Based on Reineke, Deng, and Du's work, the tight monomials in quantized enveloping algebra of type G2 and A3 are completely determined in this article.