q$-Whittaker polynomials: bases, branching and direct limits

We study $q$-Whittaker polynomials and their monomial expansions given by the fermionic formula, the inv statistic of Haglund-Haiman-Loehr and the quinv statistic of Ayyer-Mandelshtam-Martin. The combinatorial models underlying these expansions are partition overlaid patterns and column strict filli...

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Hauptverfasser:	Bhattacharya, Aritra, Ratheesh, T V, Viswanath, Sankaran
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics Mathematics - Representation Theory
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