发表机构
University of Leeds（利兹大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对定义图示Hecke范畴的实现，证明了确保范畴性态良好的常见假设非必要，还给出非平衡实现旋转标量的非归纳描述与平衡性检验简化准则，补充了图示Hecke范畴相关研究的关键结论。
AI 中文摘要
每个图示Hecke范畴都由一个实现构造而成，该实现推广了Coxeter群的反射表示概念。确保所得范畴性态良好的实现的常见假设包括Demazure满性和抛物性质（针对反球商）。我们证明这些假设实际上是不必要的，还给出了非平衡实现的旋转标量的非归纳描述，以及更简单的平衡性检验准则。
英文摘要
Every diagrammatic Hecke category is constructed from a realization, which generalizes the notion of a reflection representation of a Coxeter group. Common assumptions on realizations to ensure that the resulting categories are well behaved include Demazure surjectivity and the parabolic property (for anti-spherical quotients). We show that these assumptions are in fact unnecessary. We also give a non-inductive description of the rotational scalars for unbalanced realizations, as well as a simpler criterion to check for balancedness.
Comments17 pages, 7 figures: clarified polynomial forcing relation, fixed minor errors
