Nonstandard braid relations and Chebyshev polynomials.
DOI10.1016/j.jalgebra.2014.09.035zbMath1329.20003arXiv1010.0421OpenAlexW2963391712MaRDI QIDQ479748
Publication date: 5 December 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.0421
Kazhdan-Lusztig basesChebyshev polynomialscellular algebrascanonical basesKronecker coefficientsKronecker problemnonstandard Hecke algebrastensor products of irreducible representations
Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of quivers and partially ordered sets (16G20) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items (1)
Cites Work
- Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH
- On the Kronecker product of Schur functions of two row shapes
- The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
- Cellular algebras
- A combinatorial interpretation for the coefficients in the Kronecker product \(s_{(n-p,p)} \ast s_\lambda\)
- Categorical Constructions for Hopf Algebras
- Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract)
- Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator
- Geometric Complexity Theory IV: nonstandard quantum group for the Kronecker problem
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