geometric representation theory
representation, 2-representation, ∞-representation
Grothendieck group, lambda-ring, symmetric function, formal group
principal bundle, torsor, vector bundle, Atiyah Lie algebroid
Eilenberg-Moore category, algebra over an operad, actegory, crossed module
Be?linson-Bernstein localization?
Given a group and a representation of , then any subgroup inclusion makes also act on , this is the restricted representation.
Given an irreducible representation of , then its decomposition as a direct sum of irreducible representations of , after restricting the respesentation to , is often called the “branching rule” of the restriction.
More generally, for any group homomorphism representations of “pull back” to representations of .
The left adjoint to this construction is the operation of forming induced representations, the right adjoint that of coinduced representations.
Last revised on December 2, 2021 at 15:00:16. See the history of this page for a list of all contributions to it.