Extended Schur's \(Q\)-functions and the full Kostant-Toda hierarchy on the Lie algebra of type \(D\)

DOI10.1016/j.physd.2022.133589zbMath1502.37068arXiv2203.00416OpenAlexW4309336775MaRDI QIDQ2677805

Soichi Okada, Yuji Kodama

Publication date: 6 January 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00416

zbMATH Keywords

Schur's Q-functionsfull Kostant-Toda hierarchyPfaffian invariantspolynomial \(\tau\)-functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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