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An introduction to twisted commutative algebras Snowden, Andrew

Description

Twisted commutative algebras are a generalization of commutative algebras in which the commutativity axiom has been modified. These algebras, and their modules, appear often when studying stability phenomena: for example, modules over the simplest tca are equivalent to FI-modules, while modules over another specific tca govern the stable representation theory of the orthogonal group. In this talk, I will introduce tca's, explain what we know and don't know about them, and how they connect to other topics of interest (such as FI-modules).

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