15 citations · 29 across the 8 of their papers we have counts for
6 papers · 1 filter
Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application
Cesar Cuenca, Grigori Olshanski
The Mackey-type identity mentioned in the title relates the operations of parabolic induction and restriction for invariant functions on the Lie algebras of the finite unitary grou…
Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions
Cesar Cuenca, Grigori Olshanski
The groups mentioned in the title are certain matrix groups of infinite size over a finite field . They are built from finite classical groups and at the same time the…
q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups
Cesar Cuenca, Vadim Gorin
The classification of irreducible, spherical characters of the infinite-dimensional unitary/orthogonal/symplectic groups can be obtained by finding all possible limits of normalize…
Pieri Integral Formula and Asymptotics of Jack Unitary Characters
Cesar Cuenca
We introduce Jack (unitary) characters and prove two kinds of formulas that are suitable for their asymptotics, as the lengths of the signatures that parametrize them go to infinit…
Asymptotic Formulas for Macdonald Polynomials and the Boundary of the -Gelfand-Tsetlin Graph
Cesar Cuenca
We introduce Macdonald characters and use algebraic properties of Macdonald polynomials to study them. As a result, we produce several formulas for Macdonald characters, which are…
BC Type Z-measures and Determinantal Point Processes
Cesar Cuenca
The (BC type) z-measures are a family of four parameter probability measures on the path space of the nonnegative Gelfand-Tsetlin graph with Jacobi-edge multiplicitie…