Diagrammatic categorification of the Chebyshev polynomials of the second kind
Representation Theory
2020-03-27 v1 Quantum Algebra
Abstract
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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Cite
@article{arxiv.2003.11664,
title = {Diagrammatic categorification of the Chebyshev polynomials of the second kind},
author = {Mikhail Khovanov and Radmila Sazdanovic},
journal= {arXiv preprint arXiv:2003.11664},
year = {2020}
}
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24 pages