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arxiv: 1412.0074 · v5 · pith:PP2JQHWOnew · submitted 2014-11-29 · 🧮 math.RA

A new class of Z-graded Lie conformal algebras of infinite rank

Guangzhe Fan , Qiufan Chen , Jianzhi Han This is my paper
classification 🧮 math.RA
keywords conformalrankalgebrasclassinfinitemodulescentralclassified
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In this paper, a new class of $\Z$-graded Lie conformal algebras $\CW(a,c)$ of infinite rank is constructed. The conformal derivations and one-dimensional central extensions of $\CW(a,c)$ are completely determined. And all conformal modules of rank one over $\CW(a,c) (a\neq0)$ are proved to be trivial and all such nontrivial (irreducible) modules over $\CW(0,c)$ are classified.

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