Representations of quiver Hecke algebras via Lyndon bases
Representations of quiver Hecke algebras via Lyndon bases
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通过林登基表示箭袋赫克代数
DOI：
10.1016/j.jpaa.2011.12.015
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发表时间：
2009
影响因子：
0.8
通讯作者：
D. Mondragon
中科院分区：
文献类型：
--
作者：
David Hill;George Melvin;D. Mondragon
Khovanov和Lauda引入了一类新的代数，Rouquier独立地引入了这类代数。这些代数将与任意Cartan数据相关的量子群的一半进行分类。本文利用Lyndon字的组合数学构造了与有限型Cartan数据相关的代数的不可约表示。这就完成了Kleshchev和Ram所提出的Hecke代数的简单模的分类。
A new class of algebras has been introduced by Khovanov and Lauda and independently by Rouquier. These algebras categorify one-half of the Quantum group associated to arbitrary Cartan data. In this paper, we use the combinatorics of Lyndon words to construct the irreducible representations of those algebras associated to Cartan data of finite type. This completes the classification of simple modules for the quiver Hecke algebra initiated by Kleshchev and Ram.