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math.CO2024
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…
math.CO2024
-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…
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…