Representation theory

Tags: #todo #projects/review

Groups

Cartan
Levi
Borel
maximal torus
split torus
Regular representation
Maschke's theorem
Schur's lemma

Algebraic Groups

algebraic group
Hopf algebra
unipotent radical
Lie algebra
Verma module
Category O
Wall-crossing morphisms

🗓️ Timeline

2021-05-03

Consider category \(\mathsf{H}{\hbox{-}}\mathsf{Mod}^{\mathrm{fd}}\) of finite-dimensional Representation theory of \(H\).
2021-04-25

The representation ring \(R(G)\): the free \({\mathbb{Z}}{\hbox{-}}\)module on isomorphism classes of irreducible Representation theory.

Links to this page

unresolved links output

Borel in -AWS 2022: Automorphic Forms Beyond \(\operatorname{GL}_2\), -2021-09-14, -Representation theory, -parabolic

Cartan in -2021-09-14, -Lie algebra, -Representation theory

Category O in -Representation theory, -representation theory

Levi in -Beuzart-Plessis, On the spectral decomposition of the Jacquet-Rallis trace formula and the Gan-Gross-Prasad conjecture for unitary groups, -Representation theory

Regular representation in -Representation theory

Verma module in -Representation theory, -representation theory

Wall-crossing morphisms in -Representation theory

maximal torus in -Chow ring, -Principal series representations, -Representation theory

split torus in -Beuzart-Plessis, On the spectral decomposition of the Jacquet-Rallis trace formula and the Gan-Gross-Prasad conjecture for unitary groups, -Representation theory

unipotent radical in -AWS 2022: Automorphic Forms Beyond \(\operatorname{GL}_2\), -Representation theory
AWS 2019 Background Definitions

Representation theory for groups

#todo #projects/review