6 papers
On factorization of matrix of Kazhdan-Lusztig polynomials
Aritra Bhattacharya, Ashish Mishra, Shraddha Srivastava
Let be the Hecke algebra of the Coxeter system over , where is the Weyl group of a symmetrizable Kac-Moody algebr…
Equating Inv-Quinv formulas for the -Whittaker and modified Hall-Littlewood functions
Aritra Bhattacharya
We explain the equality between the two sets of formulas for -Whittaker functions and modified Hall-Littlewood functions obtained by Haglund, Haiman and Loehr - the Inv formula…
-Whittaker polynomials: bases, branching and direct limits
Aritra Bhattacharya, T V Ratheesh, Sankaran Viswanath
We study -Whittaker polynomials and their monomial expansions given by the fermionic formula, the inv statistic of Haglund-Haiman-Loehr and the quinv statistic of Ayyer-Mandelsh…
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…
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…
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…