nLab
global family
Contents
Context
Stable Homotopy theory
Representation theory
representation theory

geometric representation theory

Ingredients
Definitions
representation , 2-representation , ∞-representation

group , ∞-group

group algebra , algebraic group , Lie algebra

vector space , n-vector space

affine space , symplectic vector space

action , ∞-action

module , equivariant object

bimodule , Morita equivalence

induced representation , Frobenius reciprocity

Hilbert space , Banach space , Fourier transform , functional analysis

orbit , coadjoint orbit , Killing form

unitary representation

geometric quantization , coherent state

socle , quiver

module algebra , comodule algebra , Hopf action , measuring

Geometric representation theory
D-module , perverse sheaf ,

Grothendieck group , lambda-ring , symmetric function , formal group

principal bundle , torsor , vector bundle , Atiyah Lie algebroid

geometric function theory , groupoidification

Eilenberg-Moore category , algebra over an operad , actegory , crossed module

reconstruction theorems

Theorems
Contents
Idea
In the context of global equivariant homotopy theory and global equivariant stable homotopy theory one considers equivariant spectra with equivariance not necessarily with respect to one fixed group, but with respect to a suitable family of groups at once. These “suitable families of groups for defining global equivariant (stable) homotopy theory” are called global families , for short.

Definition:
(e.g. Schwede 18, def. 1.4.1 )

Examples
References
Last revised on December 3, 2018 at 03:19:58.
See the history of this page for a list of all contributions to it.