量子独立性背后的代数结构：理论与应用
Algebraic structures underlying quantum independences : Theory and Applications
摘要：
目前的调查结果的意愿，以协调两种方法的量子概率：一个相当物理和直接来自量子力学，其他更多的代数。第二个主导思想是提供一个统一的图片，共同介绍几个应用领域，其中许多可能并不都是读者熟悉的（至少在同一时间和我们用来呈现它们的形式）。最后，我们借此机会提出最近获得的各种结果，使用组和双代数技术来处理的概念，如累积量或威克多项式在各种非交换概率理论。
英文摘要：
The present survey results from the will to reconcile two approaches to quantum probabilities: one rather physical and coming directly from quantum mechanics, the other more algebraic. The second leading idea is to provide a unified picture introducing jointly to several fields of applications, many of which are probably not all familiar (at leat at the same time and in the form we use to present them) to the readers. Lastly, we take the opportunity to present various results obtained recently that use group and bialgebra techniques to handle notions such as cumulants or Wick polynomials in the various noncommutative probability theories.
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