Extensions of modules over a class of Lie conformal algebras $\mathcal{W}(b)$
Extensions of modules over a class of Lie conformal algebras $\mathcal{W}(b)$
Let $\mathcal{W}(b)$ be a class of free Lie conformal algebras of rank $2$ with $\mathbb{C}[\partial]$-basis ${L,H}$ and relations \begin{eqnarray*} [L_��L]=(\partial+2��)L,\ \ [L_��H]=\big(\partial+(1-b)��\big)H, \ \ [H_��H]=0, \end{eqnarray*} where $b$ is a nonzero complex number. In this paper, we classify extensions between two finite irreducible conformal modules over the Lie conformal algebras $\mathcal{W}(b)$.
to appear in Journal of Algebra and its Applications
Virasoro and related algebras, Rings and Algebras (math.RA), FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Lie conformal algebra, Mathematics - Rings and Algebras, extensions, conformal modules
Virasoro and related algebras, Rings and Algebras (math.RA), FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Lie conformal algebra, Mathematics - Rings and Algebras, extensions, conformal modules
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