Aritra Bhattacharya

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20232026

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math.RT2026

On factorization of matrix of Kazhdan-Lusztig polynomials

Aritra Bhattacharya, Ashish Mishra, Shraddha Srivastava

Let $H = H (W, S)$ be the Hecke algebra of the Coxeter system $(W, S)$ over $Z [q^{\pm 1}]$ , where $W$ is the Weyl group of a symmetrizable Kac-Moody algebr…

math.RT2023

Clebsch-Gordan coefficients for Macdonald polynomials

Aritra Bhattacharya, Arun Ram

In this paper we use the double affine Hecke algebra to compute the Macdonald polynomial products $E_{ℓ} P_{m}$ and $P_{ℓ} P_{m}$ for type $S L_{2}$ and type $G L_{2}$ Macdonald polynomial…