# 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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