# On symmetries of generalized Calogero model and Polychronakos-Frahm chain

## TL;DR

This paper explores the symmetries of the generalized Calogero model and Polychronakos-Frahm chain using Dunkl-operator deformations, revealing their algebraic structures and connections.

## Contribution

It introduces a novel approach to deriving symmetries of these models through Dunkl-operator deformations of the unitary algebra.

## Key findings

- Symmetry of the generalized Polychronakos-Frahm chain derived from Dunkl-operator deformation.
- Connection established between the symmetries of the Calogero model and the chain.
- Algebraic structures underlying these models clarified.

## Abstract

The symmetry of the generalized Polychronakos-Frahm chain is obtained from the Dunkl-operator deformation of the unitary algebra, which describes the symmetry of the generalized Calogero model.