论文标题

与Virasoro代数相关的地图(超级)代数的重量模块

Weight modules for map (super)algebra related to the Virasoro algebra

论文作者

Cai, Yan-an, Lü, Rencai, Wang, Yan

论文摘要

我们将谎言(超级)代数$ \ Mathfrak {l} = w \ ltimes(\ Mathfrak {\ Mathfrak {g} \ otimes \ otimies \ Mathbb {c} [t,t^{ - 1})$分类为谎言模块(超级)代数模块(\ Mathfrak {\ Mathfrak {g} \ otimes \ otimes \ otimes推导。然后,我们提供了一种概念方法,将$ \ mathfrak {l} $的所有简单cuspidal模块和地图Superalgebras分类为$ \ mathfrak {l} \ otimes r $,其中$ r $是NOETHERIAN UNETHERIAN UNITERIAN UNITERIAN UNITERIAN UNITERIAN UNITERIAN UNITERIAL UNITERIAL SUPERITATIAL SUPERITATIVE ASSUPEMUTATIVE ASSUPEMUTATIVE ASSUPARTAVITY ASSSERICIATIVE SUPERALGEBRA。

We classify Jet modules for the Lie (super)algebras $\mathfrak{L}=W\ltimes(\mathfrak{g}\otimes\mathbb{C}[t,t^{-1}])$, where $W$ is the Witt algebra and $\mathfrak{g}$ is a Lie superalgebra with an even diagonlizable derivation. Then we give a concept method to classify all simple cuspidal modules for $\mathfrak{L}$ and the map superalgebras, which are of the form $\mathfrak{L}\otimes R$, where $R$ is a Noetherian unital supercommutative associative superalgebra.

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