3 papers
math.CO2024
The monomial expansion formula for Hall-Littlewood -polynomials
Aritra Bhattacharya
We give a Hecke algebra derivation of Macdonald's expansion formula for Hall-Littlewood polynomials in terms of semistandard Young tableaux. This is accomplished by first obtaining…
math.CO2023
Monomial expansions for -Whittaker and modified Hall-Littlewood polynomials
Aritra Bhattacharya, T V Ratheesh, Sankaran Viswanath
We consider the monomial expansion of the -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 and for type and type Macdonald polynomial…