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Sym(n)- and Alt(n)-modules with an additive dimension

Year: 2021

Type: preprint

Abstract: We revisit, clarify, and generalise classical results of Dickson and (much later) Wagner on minimal Sym(n)- and Alt(n)-modules. We present a new, natural notion of 'modules with an additive dimension' covering at once the classical, finitary case as well as modules definable in an o-minimal or finite Morley rank setting; in this context, we fully identify the faithful Sym(n)- and Alt(n)-modules of least dimension.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2111.11498

Authors: Corredor, Luis Jaime, Deloro, Adrien, Wiscons, Joshua

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4226510083

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