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?
In discussion of topological G-spaces (such as in equivariant homotopy theory and/or equivariant differential topology) by an orbit type one means the isomorphism class of orbits of the equivariance group.
Since every orbit of a group $G$ (typically taken to be a topological group) is isomorphic, as a topological G-space, to a coset space $G/H$, and since these coset spaces, in turn, are isomorphic to each other precisely if the subgroups $H$ are conjugate to each other (see also at orbit category), the $G$-orbit types are often identified with the conjugacy classes $(H)$ of the subgroups of $G$.
Last revised on April 8, 2021 at 05:55:38. See the history of this page for a list of all contributions to it.