The Brauer-Chen algebra is a generalization of the algebra of Brauer diagrams to arbitrary complex reflection groups, that admits a natural monodromic deformation. We determine the generic representation theory of the first non trivial quotient of this algebra. We also define natural extensions of this algebra and prove that they similarly admit natural monodromic deformations.

中文翻译：

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Brauer-Chen 代数的截断和扩展

Brauer-Chen 代数是 Brauer 图代数对任意复杂反射群的推广，它允许自然的单向变形。我们确定该代数的第一非平凡商的泛型表示理论。我们还定义了这个代数的自然扩展，并证明它们同样允许自然单向变形。