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
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 $\mathcal{A}(CK_{6})$.