q-Deformed character theory for infinite-dimensional symplectic and orthogonal groups
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29_2020_572_ReferencePDF.pdf
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499.8 KB
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7528a543effb341f0b68222d202371b6
Author(s)
Cuenca, Cesar
Gorin, Vadim
Date Issued
June 12, 2020
Publisher
Springer International Publishing
Citation
Selecta Mathematica. 2020 Jun 12;26(3):40
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00029-020-00572-8
