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</script>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.
14 pages
Rings and Algebras (math.RA), 17B65, 17B69, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Representation Theory (math.RT), Mathematical Physics, Mathematics - Representation Theory
Rings and Algebras (math.RA), 17B65, 17B69, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Representation Theory (math.RT), Mathematical Physics, Mathematics - Representation Theory
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