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$\lambda$-Griffiths polynomials: Bispectrality and biorthogonality

Autor: Crampe, N., Frappat, L., Gaboriaud, J., Ragoucy, E., Vinet, L., Zaimi, M.

We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter $\lambda$. These $\lambda$-Griffiths polynomials are bivariate, bispectral and biorthogonal. For two specific values of the parameter $\lambda$, the

Externí odkaz: http://arxiv.org/abs/2311.03256

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Fused Hecke algebra and one-boundary algebras

Autor: d'Andecy, L. Poulain, Zaimi, M.

Publikováno v: Pacific J. Math. 328 (2024) 77-118

This paper gives an algebraic presentation of the fused Hecke algebra which describes the centraliser of tensor products of the $U_q(gl_N)$-representation labelled by a one-row partition of any size with vector representations. It is obtained through

Externí odkaz: http://arxiv.org/abs/2306.10937

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Bivariate $P$-polynomial association schemes

Autor: Bernard, P. -A., Crampe, N., d'Andecy, L. Poulain, Vinet, L., Zaimi, M.

Publikováno v: Algebraic Combinatorics, Volume 7 (2024) no. 2, pp. 361-382

Bivariate P-polynomial association scheme of type $(\alpha,\beta)$ are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to a set of conditions on the intersection parameters. A number

Externí odkaz: http://arxiv.org/abs/2212.10824

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