A Lie conformal algebra of Block type
Lamei Yuan
TL;DR
This paper investigates a Lie conformal algebra of Block type, exploring its derivations, modules, cohomology, and associated vertex Poisson algebra structure to deepen understanding of its algebraic properties.
Contribution
It introduces the study of conformal derivations, modules, cohomology, and vertex Poisson structures specifically for the Lie conformal algebra of Block type, which was not previously analyzed in detail.
Findings
Conformal derivations of the algebra are characterized.
Rank 1 conformal modules are classified.
Cohomology groups of low dimensions are computed.
Abstract
The aim of this paper is to study a Lie conformal algebra of Block type. In this paper, conformal derivation, conformal module of rank 1 and low-dimensional comohology of the Lie conformal algebra of Block type are studied. Also, the vertex Poisson algebra structure associated with the Lie conformal algebra of Block type is constructed.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons