Heisenberg algebra and a graphical calculus

被引：38
|
作者：
Khovanov, Mikhail [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
FUNDAMENTA MATHEMATICAE | 2014年 / 225卷
基金：
美国国家科学基金会;
关键词：
categorification of Heisenberg algebra; biadjoint functors; symmetric groups; induction and restriction functors; graphical calculus; CATEGORIFICATION;
D O I：
10.4064/fm225-1-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new calculus of planar diagrams involving diagrammatics for biadjoint functors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothendieck ring contains an integral form of the Heisenberg algebra in infinitely many variables. We construct bases of the vector spaces of morphisms between products of generating objects in this category.
引用
收藏
页码：169 / 210
页数：42
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