Universal deformation formulae for three-dimensional solvable Lie groups
Universal deformation formulae for three-dimensional solvable Lie groups
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DOI：
10.1007/11342786_7
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发表时间：
2003-08
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影响因子：
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通讯作者：
P. Bieliavsky;Philippe Bonneau;Yoshiaki Maeda
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文献类型：
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作者：
P. Bieliavsky;Philippe Bonneau;Yoshiaki Maeda
摘要应用可解对称空间的严格量化方法，得到了三维可解李群作用的通用变形公式。在Hopf代数的背景下，通过推广粉碎积的概念，我们也研究了相容副积。我们特别研究了su(2)中“book”组的穿衣作用。这项工作的目的是在弦理论的背景下应用，以产生非形式算子代数框架内d膜的非交换变形。
AbstractWe apply methods from strict quantization of solvable symmetric spaces to obtain universal deformation formulae for actions of every three-dimensional solvable Lie group. We also study compatible co-products by generalizing the notion of smash product in the context of Hopf algebras. We investigate in particular the dressing action of the ‘book’ group onSU(2). This work is aimed to be applied in a string theoretical context to produce noncommutative deformations of D-branes within a non-formal operator algebraic framework.