Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions
@article{Cuenca2021InfinitedimensionalGO, title={Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions}, author={Cesar Cuenca and Grigori Olshanski}, journal={Advances in Mathematics}, year={2021} }
3 Citations
Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application
- Mathematics
- 2022
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 groups U ( N, F q 2 ).…
Hall-Littlewood polynomials, boundaries, and $p$-adic random matrices
- Mathematics
- 2021
We prove that the boundary of the Hall-Littlewood t -deformation of the Gelfand-Tsetlin graph is parametrized by infinite integer signatures, extending results of Gorin [Gor12] and Cuenca [Cue18] on…
Multiple Partition Structures and Harmonic Functions on Branching Graphs
- Mathematics
- 2022
. We introduce and study multiple partition structures which are sequences of probability measures on families of Young diagrams subjected to a consistency condition. The multiple partition…
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