4 papers · 1 filter
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…