论文标题
量子托里产生的谎言代数的自动形态,衍生和中央扩展
Automorphisms, derivations and central extensions of Lie algebras arising from quantum tori
论文作者
论文摘要
对于与量子圆环有关的谎言代数$ \ mathfrak g $,我们计算其自动形态,推导和通用中心扩展。这个谎言代数$ \ mathfrak g $与量子圆环上衍生物的子代数的子代数同构是同构的,此外,含有亚代词的亚代词与无中级别等级Virasoro代数的同构。
For a Lie algebra $\mathfrak g$ related to a quantum torus, we compute its automorphisms, derivations and universal central extension. This Lie algebra $\mathfrak g$ is isomorphic to a subalgebra of the Lie algebra of derivations over the quantum torus, and moreover contains a subalgebra isomorphic to the centerless higher rank Virasoro algebra.