# Stable spin Hall-Littlewood symmetric functions, combinatorial identities, and half-space Yang-Baxter random field

@inproceedings{Chen2021StableSH, title={Stable spin Hall-Littlewood symmetric functions, combinatorial identities, and half-space Yang-Baxter random field}, author={Kai-bao Chen and Xiang-Mao Ding}, year={2021} }

Abstract. Stable spin Hall-Littlewood symmetric polynomials labeled by partitions were recently introduced by Borodin and Wheeler in the context of higher spin six vertex models, which are one-parameter deformation of the Hall-Littlewood polynomials. We present a new combinatorial definition for the stable spin Hall-Littlewood polynomials, and derive a series of new combinatorial identities, including the skew Littlewood identity, refined Cauchy identity and refined Littlewood identity…

## 2 Citations

### Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions

- 2021

Mathematics

J. Comb. Theory, Ser. A

### Refined Littlewood identity for spin Hall–Littlewood symmetric rational functions

- 2023

Mathematics

Algebraic Combinatorics

Fully inhomogeneous spin Hall-Littlewood symmetric rational functions $F_\lambda$ are multiparameter deformations of the classical Hall-Littlewood symmetric polynomials and can be viewed as partition…

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