On the algebraic structures connected with the linear Poisson brackets of hydrodynamics type

DOI10.1088/0305-4470/26/7/002zbMath0788.17019arXivhep-th/9311134OpenAlexW3103590967MaRDI QIDQ4694890

A. I. Balinskij, Alexander A. Balinsky

Publication date: 17 August 1993

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9311134

zbMATH Keywords

cohomology groupsVerma modulesPoisson bracketsgeneralized Virasoro algebrasKac formulalinear brackets of hydrodynamics typequantization of hydrodynamics brackets

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Geometric quantization (53D50)

Related Items (5)

Non-associative structures of commutative algebras related with quadratic Poisson brackets ⋮ The Frobenius-Virasoro algebra and Euler equations. II: Multi-component cases ⋮ \(\phi_\varepsilon\)-coordinated modules for vertex algebras ⋮ Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems ⋮ BALINSKY–NOVIKOV SUPERALGEBRAS AND SOME INFINITE-DIMENSIONAL LIE SUPERALGEBRAS

This page was built for publication: On the algebraic structures connected with the linear Poisson brackets of hydrodynamics type