Diagrammatic categorification of the Chebyshev polynomials of the second kind

被引：4

作者：

Khovanov, Mikhail ^{[1
]}

Sazdanovic, Radmila ^{[2
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

[2] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 06期

关键词：

Categorification; Chebyshev polynomilals; Quantum algebra;

D O I：

10.1016/j.jpaa.2020.106592

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a diagrammatic categorification of the polynomial ring Z[x], based on a geometrically defined graded algebra. This construction generalizes to categorification of some special functions, such as Chebyshev polynomials. Diagrammatic algebras featured in these categorifications lead to the first topological interpretations of the Bernstein-Gelfand-Gelfand reciprocity property. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：23

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