论文标题

$ CK_6 $的有限Verma模块的综合体的同源

Homology of the complexes of finite Verma modules over $CK_6$

论文作者

Bagnoli, Lucia

论文摘要

我们计算有限的Verma模块的第一和第三象限的同源性,超级级$ \ MATHCAL {A}(ck_ {6})\ cong E(1,6)$的同源性,与同伴Superalgebra $ CK_6 $相关,在\ ck6}中获得。该计算使我们能够明确实现$ \ Mathcal {a}(ck_ {6})$的归化有限的Verma模块的不可约的商。

We compute the homology of the first and third quadrants of the complexes of finite Verma modules over the annihilation superalgebra $\mathcal{A}(CK_{6})\cong E(1,6)$, associated with the conformal superalgebra $CK_6$, obtained in \cite{ck6}. This computation allows us to explicitly realize the irreducible quotients of degenerate finite Verma modules over $\mathcal{A}(CK_{6})$.

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