发表机构
IIT Gandhinagar; Harish-Chandra Research Institute; Homi Bhabha National Institute（印度理工学院甘地纳加尔分校; 哈里什-钱德拉研究所; 霍米·巴巴国立研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究将King的几何不变量理论框架扩展到超情形，构造箭图超表示的模空间，还实现了超格拉斯曼流形等作为几何商，为超表示研究提供了模空间框架。
AI 中文摘要
在本注记中，我们通过将King的几何不变量理论（GIT）框架扩展到超情形，构造箭图的超表示的模空间。利用超一般线性群的偶部和一个奇偶移位算子，我们构造了在拓扑上参数化固定超维数的超表示的模空间。我们还概述了带框箭图的超表示（无需加倍）的超箭图簇的构造，并在该框架内将超格拉斯曼流形和超旗流形实现为几何商。
英文摘要
In this note, we construct moduli spaces of super-representations of quivers by extending King's Geometric Invariant Theory (GIT) framework to the super setting. Using the even part of super general linear groups and a parity-shifting operator, we construct moduli spaces that topologically parameterize super-representations of a fixed super-dimension. We also outline the construction of super quiver varieties for super-representations of framed quivers (without doubling); and realise super-Grassmannians and super-flag varieties as geometric quotients within this setting.
Comments21 pages, Corollary 5.6 is corrected and Remark 5.7 of the previous version is removed. Comments are welcome
