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Michael_1812
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6 votes
2 answers
341 views

A theorem from the theory of groups

6 votes
2 answers
427 views

Dixmier's lemma as a generalisation of Schur's first lemma

5 votes
2 answers
88 views

Simple formulae for matrices

5 votes
1 answer
72 views

Definition of an Induced Representation. Technicalities.

5 votes
0 answers
62 views

Dot product of functions on cosets

5 votes
1 answer
61 views

Two definitions of representation of a topological group

5 votes
1 answer
87 views

Complete reducibility, in linear algebra versus topology. The example of the translation representation of $\mathbb R$ in $L^2({\mathbb{R}})$

4 votes
1 answer
89 views

Quotient representation, in linear algebra and in topology

4 votes
1 answer
60 views

Semisimplicity of a group representation

4 votes
0 answers
52 views

A simple question on groups and quotient spaces.

4 votes
0 answers
118 views

A representation induced from one subgroup and restricted to another

4 votes
1 answer
66 views

A morphism intertwining two induced representations

3 votes
1 answer
74 views

Morphisms of two fully reducible representations of a group

3 votes
0 answers
197 views

Special functions, Fourier series

3 votes
0 answers
501 views

Restriction of an Induced Representation

3 votes
0 answers
45 views

The Hausdorffness of a locally compact topological group

3 votes
0 answers
69 views

Functions on a group. Functions of the inverse element.

3 votes
1 answer
172 views

Two definitions of complete algebraic reducibility are equivalent by Zorn's lemma. Does this equivalence stay for topological spaces?

3 votes
1 answer
92 views

Continuity in topology. An example from Nakahara's book

2 votes
0 answers
67 views

Splitting of a topological vector space (TVS) into an uncountable number of subspaces

2 votes
0 answers
51 views

On the definition of Banach space

2 votes
0 answers
63 views

Complete reducibility, in linear algebra and in topology

2 votes
1 answer
38 views

On the definition of local compactness

2 votes
1 answer
64 views

A topological detail in the definition of Lie group

2 votes
2 answers
60 views

Topological space, manifold, open sets

2 votes
3 answers
188 views

Is a Radon measure always positive on non-empty open sets? The same question about the Haar measure.

2 votes
1 answer
39 views

Functions mapping a group to a Hilbert space.

2 votes
0 answers
56 views

Induced representations built on sections of an associated vector bundle. Questions on notations

2 votes
1 answer
265 views

A detail in the proof of Schur's lemma: the closures of the $\ker$ and $\operatorname{img}$ of the intertwiner.

2 votes
0 answers
72 views

Complement to a subspace, in linear algebra, in topology, in functional analysis