\(p\)-adic Representation Theory (PadicRep)
1
Td Groups
▼
1.1
Definitions
1.2
Example: \(\mathrm{GL}_n(K)\) and Its Closed Subgroups
2
Continuous Representations of Groups with Topology
▶
2.1
Continuous representations
2.2
The category of continuous representations
3
The Hecke Algebra of a Td Group
▶
3.1
Locally constant functions and distributions on a td space
▶
3.1.1
Extension by zero and restriction
3.2
Distributions on groups
▶
3.2.1
Translations of functions
3.2.2
Compactly supported distributions and convolution
3.2.3
Translation actions on distributions
3.2.4
Delta distributions and a normalized Haar distribution
3.2.5
Convolution identities for delta and normalized Haar distributions
3.2.6
Invariance of the normalized Haar distribution
3.2.7
Finite decomposition for bi-invariant distributions
3.2.8
Local constancy (smoothness)
3.3
The Hecke algebra
3.4
TODOs
Dependency graph
1 Td Groups
1.1
Definitions
1.2
Example: \(\mathrm{GL}_n(K)\) and Its Closed Subgroups