A metaplectic Casselman-Shalika formula for GLr

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The metaplectic Casselman-Shalika formula (2011, methodology): “ latter propositions detail how to compute the Weyl group action appearing in the metaplectic Casselman-Shalika formula that is Theorem 8.1. Our approach is to follow the technique of Chinta and Oﬀen [CO] who have shown how to generalise the approach of Casselman and Shalika [CS] to provide a formul”
Metaplectic Whittaker functions and crystal bases (2009, methodology): “to why the combinatorics of crystal graphs make an appearance in this ﬁeld. Independently, there has been an alternative calculation of the metaplectic Whittaker function in type A by Chinta and Oﬀen [CO]. This result shows that the spherical Whittaker function agrees with the p-parts of Weyl group ”
Weyl group multiple Dirichlet series, Eisenstein series and crystal bases (2011, methodology): “This follows by combining the work of Chinta and Offen [17] demonstrating that the pparts in [16] are p-adic metaplectic Whittaker functions in type A with the work of McNamara [28] demonstrating that the p-part definition presented in the next section is indeed a p-adic metaplectic Whittaker functi”