Kac-Moody共形代数的泛结合共形包络的标准基
Standard bases for the universal associative conformal envelopes of Kac--Moody conformal algebras
摘要:
在局部性水平$N=3$上研究了当前共形李代数的中心扩张的泛包络结合共形代数。一个标准的基础上定义的关系,这个代数明确计算。作为推论,我们找到了自由交换共形代数关于生成元上局部性$N=3$的线性基。
英文摘要:
We study the universal enveloping associative conformal algebra for the central extension of a current Lie conformal algebra at the locality level $N=3$. A standard basis of defining relations for this algebra is explicitly calculated. As a corollary, we find a linear basis of the free commutative conformal algebra relative to the locality $N=3$ on the generators.
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