Aritra Bhattacharya

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20232026

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math.CO2023

Monomial expansions for $q$ -Whittaker and modified Hall-Littlewood polynomials

Aritra Bhattacharya, T V Ratheesh, Sankaran Viswanath

We consider the monomial expansion of the $q$ -Whittaker polynomials given by the fermionic formula and via the inv and quinv statistics. We construct bijections between the paramet…

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…

Monomial expansions for q-Whittaker and modified Hall-Littlewood polynomials

Clebsch-Gordan coefficients for Macdonald polynomials

Monomial expansions for $q$ -Whittaker and modified Hall-Littlewood polynomials