q-Deformed character theory for infinite-dimensional symplectic and orthogonal groups

  title={q-Deformed character theory for infinite-dimensional symplectic and orthogonal groups},
  author={Cesar Cuenca and Vadim Gorin},
  journal={Selecta Mathematica},
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… 
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