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Words: 2k
Articles: 80
Table of contents
2k
80
Group representation
Representation theory
41
1
Semisimple representation
Group representation
20
Maschke's theorem
Representation theory
42
Complex representation
Representation theory
314
10
Continuous representation of a topological group
Complex representation
22
Degree of a representation
Complex representation
11
Isomorphic representations
Complex representation
22
Faithful representation
Complex representation
218
5
Regular representation
Faithful representation
69
1
Faithful irreducible representation of a finite simple group
Regular representation
53
Spectrum orbit bound for a faithful symmetric-group representation
Faithful representation
54
Finite-dimensional representation obstruction from elementary abelian subgroups
Faithful representation
44
Real Heisenberg quotient has no faithful finite-dimensional representation
Faithful representation
42
One-dimensional representation kills the commutator subgroup
Complex representation
23
Representation of SU2
Representation theory
217
9
Homogeneous polynomial representation of SU2
Representation of SU2
37
1
Character of the homogeneous polynomial representation of SU2
Homogeneous polynomial representation of SU2
9
Classification of finite-dimensional representations of SU2
Representation of SU2
17
Self-duality of finite-dimensional SU2 representations
Representation of SU2
32
Central parity on SU2 tensor products
Representation of SU2
37
Clebsch-Gordan decomposition for SU2
Representation of SU2
78
3
Flip parity in the SU2 tensor square
Clebsch-Gordan decomposition for SU2
58
2
Exterior square of an SU2 irreducible representation
Flip parity in the SU2 tensor square
31
1
Second and third exterior powers of V4 of SU2
Exterior square of an SU2 irreducible representation
25
Character of an exterior square
Representation theory
7
Character of an exterior cube
Representation theory
11
Averaging over a finite group
Representation theory
21
Unitary representation
Representation theory
116
4
Unitarization of a finite-group representation
Unitary representation
26
Unitarization of a compact-group representation
Unitary representation
21
Representation of the circle group
Unitary representation
54
1
Central circle weight-space decomposition
Representation of the circle group
28
Character orthogonality
Representation theory
10
Character table
Representation theory
77
3
Irreducible character degree
Character table
41
2
Linear character
Irreducible character degree
15
Nonlinear irreducible character
Irreducible character degree
9
Character of a representation
Representation theory
19
Burnside lemma
Representation theory
72
1
Permutation representation of a two-transitive action
Burnside lemma
37
Permutation representation
Representation theory
131
3
Symmetric-group subset permutation representation
Permutation representation
75
1
Inclusion map between subset permutation modules
Symmetric-group subset permutation representation
40
Standard representation of the symmetric group
Permutation representation
30
Intertwining operator
Representation theory
21
Schur lemma
Representation theory
108
2
Proof of Schur lemma
Schur lemma
46
Cyclic-center obstruction to a faithful irreducible representation
Schur lemma
43
Dual representation
Representation theory
161
4
Character of a Hom representation
Dual representation
81
1
Two-sided regular representation decomposition
Character of a Hom representation
57
Invariant bilinear form as an intertwiner
Dual representation
66
1
Symmetric-or-alternating dichotomy for invariant forms
Invariant bilinear form as an intertwiner
30
Induced representation
Representation theory
422
12
Character formula for an induced representation
Induced representation
13
Induction from an abelian normal subgroup with a free character orbit
Induced representation
105
1
Irreducible characters of the affine semidirect product of orders eleven and five
Induction from an abelian normal subgroup with a free character orbit
50
Tensor identity for induced representations
Induced representation
29
Frobenius reciprocity
Induced representation
28
Mackey restriction formula
Induced representation
140
4
Mackey irreducibility criterion
Mackey restriction formula
40
Bruhat decomposition of SL2 over a finite field
Mackey restriction formula
79
2
Mackey inner product for the finite SL2 principal series
Bruhat decomposition of SL2 over a finite field
53
1
Irreducible principal series of finite SL2
Mackey inner product for the finite SL2 principal series
34
Square orbits of additive characters of a finite field
Induced representation
91
1
Induction from the diagonal subgroup of upper-triangular SL2
Square orbits of additive characters of a finite field
53
Irreducible representation
Representation theory
125
4
Eigenvalue orbit under conjugation
Irreducible representation
19
Irreducible complex representations of a finite dihedral group
Irreducible representation
97
2
Two-dimensional representations of a finite dihedral group
Irreducible complex representations of a finite dihedral group
57
1
Faithful irreducible representation of D8
Two-dimensional representations of a finite dihedral group
19
Infinite dihedral group
Representation theory
46
2
Representation of the infinite dihedral group
Infinite dihedral group
36
1
Induced two-dimensional dihedral representation
Representation of the infinite dihedral group
15
One-dimensional character
Representation theory
41
1
One-dimensional characters factor through the abelianization
One-dimensional character
24
Finite quotient representation
Representation theory
18
Indecomposable representation
Representation theory
43
2
Nonsplit extension of representations
Indecomposable representation
12
Unipotent representation
Indecomposable representation
16
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