Filtered Fiber Functors Over a General Base

IF 0.4 3区数学 Q4 MATHEMATICS

Transformation Groups Pub Date : 2024-08-08 DOI:10.1007/s00031-024-09875-y

Paul Ziegler

引用次数: 0

Abstract

We prove that every filtered fiber functor on the category of dualizable representations of a smooth affine group scheme with enough dualizable representations comes from a graded fiber functor.

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一般基上的滤波纤维函数

我们证明，在具有足够多可对偶表示的光滑仿射群方案的可对偶表示类别上，每一个滤波纤维函子都来自一个分级纤维函子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.