English

On vertex operator realizations of Jack functions

Quantum Algebra 2020-09-08 v1 Combinatorics

Abstract

On the vertex operator algebra associated with rank one lattice we derive a general formula for products of vertex operators in terms of generalized homogeneous symmetric functions. As an application we realize Jack symmetric functions of rectangular shapes as well as marked rectangular shapes.

Keywords

Cite

@article{arxiv.1002.1350,
  title  = {On vertex operator realizations of Jack functions},
  author = {Wuxing Cai and Naihuan Jing},
  journal= {arXiv preprint arXiv:1002.1350},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-21T14:44:04.551Z