This article is cited in 7 papers

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

Natasha Rozhkovskaya

Department of Mathematics, Kansas State University, Manhattan, KS 66502, USA

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.

Keywords: BKP hierarchy, symmetric functions, factorial Schur $Q$-functions, multiparameter Schur $Q$-functions, vertex operators.

MSC: 05E05, 17B65, 17B69, 11C20

Received: May 20, 2019; in final form August 23, 2019; Published online August 28, 2019

Language: English

DOI: 10.3842/SIGMA.2019.065

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ArXiv: 1805.06971