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In this paper, we describe a class of elements in the ring of $\textrm{SL}(V)$-invariant polynomial functions on the space of configurations of vectors and linear forms of a 3D vector… Click to show full abstract
In this paper, we describe a class of elements in the ring of $\textrm{SL}(V)$-invariant polynomial functions on the space of configurations of vectors and linear forms of a 3D vector space $V.$ 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 $U_q(\mathfrak{sl}_3(\mathbb C)).$
Keywords:
diagrams chebyshev;
chebyshev polynomials;
tensor diagrams
Journal Title: International Mathematics Research Notices
Year Published: 2018
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Journal Title: International Mathematics Research Notices
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!