nLab
virtual representation

Context

Representation theory

Ingredients

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Definitions

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Geometric representation theory

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Theorems

A virtual representation of a group is a formal difference with respect to direct sum of two ordinary representations. More precisely, if we regard an ordinary representation as an equivariant vector bundle over the point, then a virtual representation is a corresponding equivariant virtual vector bundle.

Equivalence classes of virtual representations form the elements of the representation ring of the group.

Last revised on July 21, 2014 at 08:29:19. See the history of this page for a list of all contributions to it.