Multiparameter Schur $Q$-Functions Are Solutions of the BKP Hierarchy

TL;DR

This paper demonstrates that multiparameter Schur Q-functions, encompassing factorial and classical variants, serve as solutions to the BKP hierarchy, linking combinatorial functions with integrable systems.

Contribution

It establishes that multiparameter Schur Q-functions are solutions to the BKP hierarchy, extending known results to a broader class of functions.

Findings

Multiparameter Schur Q-functions solve the BKP hierarchy.

Includes factorial and classical Schur Q-functions as special cases.

Bridges combinatorics and integrable systems.

Abstract

We prove that multiparameter Schur $Q$-functions, which include as specializations factorial Schur $Q$-functions and classical Schur $Q$-functions, provide solutions of the BKP hierarchy