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

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Balinsky, A. I. 1993. On the algebraic structures connected with the linear Poisson brackets of hydrodynamics type [Letter]. Journal of Physics A: Mathematical and General 26 (7) , L361-L364. 10.1088/0305-4470/26/7/002

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Abstract

The generalized form of the Kac formula for Verma modules associated with linear brackets of hydrodynamics type is proposed. Second cohomology groups of the generalized Virasoro algebras are calculated. Connection of the central extensions with the problem of quantization of hydrodynamics brackets is demonstrated.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	IOP Publishing
ISSN:	0305-4470
Last Modified:	21 Oct 2022 09:37
URI:	https://orca.cardiff.ac.uk/id/eprint/37058

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