q-Deformed character theory for infinite-dimensional symplectic and orthogonal groups
Author(s)
Cuenca, Cesar; Gorin, Vadim
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Abstract
The classification of irreducible, spherical characters of the infinite-dimensional unitary/orthogonal/symplectic groups can be obtained by finding all possible limits of normalized, irreducible characters of the corresponding finite-dimensional groups, as the rank tends to infinity. We solve a q-deformed version of the latter problem for orthogonal and symplectic groups, extending previously known results for the unitary group. The proof is based on novel determinantal and double-contour integral formulas for the q-specialized characters.
Date issued
2020-06-12Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer International Publishing
Citation
Selecta Mathematica. 2020 Jun 12;26(3):40
Version: Author's final manuscript