Anna Puskas

Last Update 2022/11/21
My research interests lie on the boundary of Number Theory and Combinatorial Representation Theory. For example, I am interested in questions related to the study of Whittaker functions on metaplectic covers of nonarchimedean groups. Recently with my collaborators we extended the study of IwahoriWhittaker functions to metaplectic covers of KacMoody groups, and studied properties of related correction factors. The main tools of this study are Demazure and DemazureLusztig operators, highest weight crystals and other combinatorial devices associated with the representation theory of finite and infinitedimensional Lie algebras. Similar devices, related to symmetries and the Bruhat order of a Weyl group appear in the study of a wide range of interesting questions.
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