论文标题

第二种Chebyshev多项式的图形分类

Diagrammatic categorification of the Chebyshev polynomials of the second kind

论文作者

Khovanov, Mikhail, Sazdanovic, Radmila

论文摘要

我们基于几何定义的分级代数,开发了多项式环Z [X]的图形分类。该构建概括以分类某些特殊功能,例如Chebyshev多项式。这些分类中介绍的图表代数导致了伯恩斯坦 - 吉尔夫德 - 吉尔夫德互惠性质的第一个拓扑解释。

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.

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