A combinatorial formula for Sahi, Stokman, and Venkateswaran's generalization of Macdonald polynomials

Alexandersson Brubaker Brubaker, 2015, Whittaker functions and Demazure operators, J. Number Theory, 146, 41, 10.1016/j.jnt.2014.01.001 Cherednik, 1995, Double affine Hecke algebras and Macdonald's conjectures, Ann. Math. (2), 141, 191, 10.2307/2118632 Cherednik, 1997, Intertwining operators of double affine Hecke algebras, Sel. Math. New Ser., 3, 459, 10.1007/s000290050017 Cherednik, 2005, Double Affine Hecke Algebras, vol. 319 Chinta, 2007, Weyl group multiple Dirichlet series constructed from quadratic characters, Invent. Math., 167, 327, 10.1007/s00222-006-0014-1 Chinta, 2010, Constructing Weyl group multiple Dirichlet series, J. Am. Math. Soc., 23, 189, 10.1090/S0894-0347-09-00641-9 Chinta, 2017, Metaplectic Demazure operators and Whittaker functions, Indiana Univ. Math. J., 66, 1045, 10.1512/iumj.2017.66.6068 Chinta, 2013, A metaplectic Casselman-Shalika formula for GLr, Am. J. Math., 135, 403, 10.1353/ajm.2013.0013 Corteel Feigin, 2017, Generalized Weyl modules, alcove paths and Macdonald polynomials, Sel. Math. New Ser., 23, 2863, 10.1007/s00029-017-0346-2 Feigin, 2018, Generalized Weyl modules and nonsymmetric q-Whittaker functions, Adv. Math., 330, 997, 10.1016/j.aim.2018.03.033 Ferreira, 2011 Görtz, 2007, Alcove walks and nearby cycles on affine flag manifolds, J. Algebraic Comb., 26, 415, 10.1007/s10801-007-0063-6 Guo Humphreys, 1990, Reflection Groups and Coxeter Groups, vol. 29 Haglund, 2008, A combinatorial formula for nonsymmetric Macdonald polynomials, Am. J. Math., 130, 359, 10.1353/ajm.2008.0015 Kac, 1990 Kazhdan, 1984, Metaplectic forms, Publ. Math. Inst. Hautes Études Sci., 59, 35, 10.1007/BF02698770 Knop, 1997, Integrality of two variable Kostka functions, J. Reine Angew. Math., 482, 177 Knop, 1997, A recursion and a combinatorial formula for Jack polynomials, Invent. Math., 128, 9, 10.1007/s002220050134 Lusztig, 1989, Affine Hecke algebras and their graded version, J. Am. Math. Soc., 2, 599, 10.1090/S0894-0347-1989-0991016-9 Ion, 2020, Double affine Hecke algebras and congruence groups, Mem. Am. Math. Soc., 268 Macdonald, 1995, Symmetric Functions and Hall Polynomials, 10.1093/oso/9780198534891.001.0001 Macdonald, 2003, Affine Hecke Algebras and Orthogonal Polynomials, vol. 157 McNamara, 2016, The metaplectic Casselman-Shalika formula, Trans. Am. Math. Soc., 368, 2913, 10.1090/tran/6597 Orr, 2018, Specializations of nonsymmetric Macdonald-Koornwinder polynomials, J. Algebraic Comb., 47, 91, 10.1007/s10801-017-0770-6 Patnaik, 2017, On Iwahori-Whittaker functions for metaplectic groups, Adv. Math., 313, 875, 10.1016/j.aim.2017.04.005 Ram, 2006, Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux, Pure Appl. Math. Q., 2, 963, 10.4310/PAMQ.2006.v2.n4.a4 Ram, 2011, A combinatorial formula for Macdonald polynomials, Adv. Math., 226, 309, 10.1016/j.aim.2010.06.022 Sahi, 1996, Interpolation, integrality, and a generalization of Macdonald's polynomials, Int. Math. Res. Not., 457, 10.1155/S107379289600030X Sahi, 1999, Nonsymmetric Koornwinder polynomials and duality, Ann. Math. (2), 150, 267, 10.2307/121102 Sahi, 2000, Some properties of Koornwinder polynomials, q-series from a contemporary perspective, vol. 254, 395 Sahi, 2000, A new formula for weight multiplicities and characters, Duke Math. J., 101, 77, 10.1215/S0012-7094-00-10113-5 Sahi, 2021, Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials, Sel. Math. New Ser., 27, 10.1007/s00029-021-00654-1 Sahi Schwer, 2006, Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra, Int. Math. Res. Not., 10.1155/IMRN/2006/75395