Question

The characteristic of the field does not divide the dimension of an irreducible representation

score 753 · Answer 1 · 2019-06-29 01:03:56

753

Views

The characteristic of the field does not divide the dimension of an irreducible representation

Published on 29 Jun 2019 - 1:03

score 270 · Answer 2 · 2019-07-07 15:42:42

270

Views

How is the standard representation of $S_n$ the direct sum of trivial representation and permutation representation?

Published on 07 Jul 2019 - 15:42

score 844 · Answer 3 · 2019-07-14 21:46:03

844

Views

The character group

Published on 14 Jul 2019 - 21:46

score 187 · Answer 4 · 2019-07-16 17:19:16

187

Views

Higher powers in the discrete Plancherel theorem

Published on 16 Jul 2019 - 17:19

score 238 · Answer 5 · 2019-07-18 12:20:04

238

Views

Restricted Representation of the Quaternion Group

Published on 18 Jul 2019 - 12:20

score 387 · Answer 6 · 2019-07-27 02:26:50

387

Views

Equivariant bilinear form on irreducible representation must be symmetric or skew-symmetric

Published on 27 Jul 2019 - 2:26

score 112 · Answer 7 · 2019-07-29 09:18:34

112

Views

Number of homomorphisms/characters

Published on 29 Jul 2019 - 9:18

score 63 · Answer 8 · 2019-08-06 05:31:19

63

Views

A question on irreducible characters.

Published on 06 Aug 2019 - 5:31

score 71 · Answer 9 · 2019-08-06 16:38:53

71

Views

Number of characters II

Published on 06 Aug 2019 - 16:38

score 48 · Answer 10 · 2026-03-22 12:45:28

48

Views

Character of $i$-th exterior power of a complex semisimple Lie algebra $\mathfrak{g}$

Published on 22 Mar 2026 - 12:45

score 64 · Answer 11 · 2019-09-04 18:57:09

64

Views

If $\phi$ is a character of $G$ such that $\langle \phi,\phi \rangle=4$, then there exists a character $\chi$ of $G$ such that $\phi=2\chi$

Published on 04 Sep 2019 - 18:57

score 561 · Answer 12 · 2019-09-15 06:22:08

561

Views

Matrix form of a regular representation

Published on 15 Sep 2019 - 6:22

score 434 · Answer 13 · 2019-09-24 16:52:54

434

Views

Exercise 6.11 from Isaac's Character theory of finite groups.

Published on 24 Sep 2019 - 16:52

score 11.3k · Answer 14 · 2014-03-21 04:28:04

11.3k

Views

How to show a representation is irreducible?

Published on 21 Mar 2014 - 4:28

score 491 · Answer 15 · 2014-03-22 19:24:41

491

Views

Characters of a faithful irreducible Module for an element in the centre

Published on 22 Mar 2014 - 19:24

List Question

The characteristic of the field does not divide the dimension of an irreducible representation

How is the standard representation of $S_n$ the direct sum of trivial representation and permutation representation?

The character group

Higher powers in the discrete Plancherel theorem

Restricted Representation of the Quaternion Group

Equivariant bilinear form on irreducible representation must be symmetric or skew-symmetric

Number of homomorphisms/characters

A question on irreducible characters.

Number of characters II

Character of $i$-th exterior power of a complex semisimple Lie algebra $\mathfrak{g}$

If $\phi$ is a character of $G$ such that $\langle \phi,\phi \rangle=4$, then there exists a character $\chi$ of $G$ such that $\phi=2\chi$

Matrix form of a regular representation

Exercise 6.11 from Isaac's Character theory of finite groups.

How to show a representation is irreducible?

Characters of a faithful irreducible Module for an element in the centre

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