Work

$\mathfrak{g}_0$-Geometry and Its Relationship with Stable Representations

Year: 2023

Type: preprint

Abstract: This paper explores the sheaves with the action of a lie algebra and computes their cohomology in a new category. Then in the following sections, We try to generalize a classical result in [GM, Ch. IV] about exterior algebra. We add the action of $\mathfrak{g}_{0}$ and prove that there is still a faithful functor.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2310.08050

Author: Xu, Shang

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4387635180

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