Tensor diagrams and Chebyshev polynomials
Combinatorics
2018-10-19 v3 Representation Theory
Abstract
In this paper, we describe a class of elements in the ring of -invariant polynomial functions on the space of configurations of vectors and linear forms of a 3-dimensional vector space These elements are related to one another by an induction formula using Chebyshev polynomials. We also investigate the relation between these polynomials and G. Lusztig's dual canonical basis in tensor products of representations of
Cite
@article{arxiv.1609.03501,
title = {Tensor diagrams and Chebyshev polynomials},
author = {Lisa Lamberti},
journal= {arXiv preprint arXiv:1609.03501},
year = {2018}
}
Comments
41 pages. Exposition shortened and clarified following the suggestions of the anonymous referees. Figures added. Comments are welcome