# Dual Multiparameter Schur Q-Functions

@article{Korotkikh2017DualMS, title={Dual Multiparameter Schur Q-Functions}, author={Sergei Korotkikh}, journal={Journal of Mathematical Sciences}, year={2017}, volume={224}, pages={263-268} }

For the Schur Q-functions there is a Cauchy identity, which shows a duality between the Schur P- and Q-functions. We will be interested in the multiparameter Schur Q-functions, which were introduced by V. N. Ivanov, and we will give dual analogs of the multiparameter Schur Q(P)-functions, with a corresponding multiparameter Cauchy identity.

## 3 Citations

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

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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

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Abstract. We study the effect of linear transformations on quantum fields with applications to vertex operator presentations of symmetric functions. Properties of linearly transformed quantum fields…

### A Generalization of Schur's $P$- and $Q$-Functions

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We introduce and study a generalization of Schur's $P$-/$Q$-functions associated to a polynomial sequence, which can be viewed as ``Macdonald's ninth variation'' for $P$-/$Q$-functions. This…

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