Mirabolic affine Grassmannian and character sheaves
By Michael Finkelberg, V. Ginzburg, Roman Travkin. 2008
47 citations recorded by the source corpus.
Abstract.We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups over the finite field, and the structure constants of multiplication in the mirabolic Hall–Littlewood basis of symmetric functions, introduced by Shoji.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0fdeae0bb8149b239b198ba506b0af004d627791
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- An exotic Deligne-Langlands correspondence for symplectic groups (2006, methodology): “One is the study of geometry which is connected to our nilcone by Achar-Henderson [AH08], Enomoto [En08], Finkelberg-Ginzburg-Travkin [ FGT08 ], Springer [Sp07], Travkin [Tr08], and the other is the classification of tempered dual by Opdam and Solleveld [OS07, OS08, So07].”