Is the regular representation just another way of syaing the standard representation?
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the question may be a little silly but I want to clarify things.
EDIT: Assuming the standard representation is the regular representation then what is the difference between the standard(regular) representation and the permutation representation?
group-theory finite-groups representation-theory
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add a comment |
$begingroup$
the question may be a little silly but I want to clarify things.
EDIT: Assuming the standard representation is the regular representation then what is the difference between the standard(regular) representation and the permutation representation?
group-theory finite-groups representation-theory
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1
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context? link to what you are reading?
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– T. Fo
Jan 7 at 16:44
1
$begingroup$
Linear representations of finite groups by J.P. Serre
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– A.E
Jan 7 at 16:45
$begingroup$
What do you mean by the "standard representation"? And what do you mean by "the permutation representation"? ("Permutation representation" has a standard meaning, but "the permutation representation" does not.)
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– Eric Wofsey
Jan 7 at 19:39
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@Eric Wofsey yes I am talking about permutation representation where the group G acts on a finite set X
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– A.E
Jan 8 at 11:19
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@EricWofsey this is where I read upon about the standard representation: mit.edu/~ivogt/Representation_Theory.pdf
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– A.E
Jan 8 at 11:26
add a comment |
$begingroup$
the question may be a little silly but I want to clarify things.
EDIT: Assuming the standard representation is the regular representation then what is the difference between the standard(regular) representation and the permutation representation?
group-theory finite-groups representation-theory
$endgroup$
the question may be a little silly but I want to clarify things.
EDIT: Assuming the standard representation is the regular representation then what is the difference between the standard(regular) representation and the permutation representation?
group-theory finite-groups representation-theory
group-theory finite-groups representation-theory
edited Jan 7 at 16:50
A.E
asked Jan 7 at 16:44
A.EA.E
93
93
1
$begingroup$
context? link to what you are reading?
$endgroup$
– T. Fo
Jan 7 at 16:44
1
$begingroup$
Linear representations of finite groups by J.P. Serre
$endgroup$
– A.E
Jan 7 at 16:45
$begingroup$
What do you mean by the "standard representation"? And what do you mean by "the permutation representation"? ("Permutation representation" has a standard meaning, but "the permutation representation" does not.)
$endgroup$
– Eric Wofsey
Jan 7 at 19:39
$begingroup$
@Eric Wofsey yes I am talking about permutation representation where the group G acts on a finite set X
$endgroup$
– A.E
Jan 8 at 11:19
$begingroup$
@EricWofsey this is where I read upon about the standard representation: mit.edu/~ivogt/Representation_Theory.pdf
$endgroup$
– A.E
Jan 8 at 11:26
add a comment |
1
$begingroup$
context? link to what you are reading?
$endgroup$
– T. Fo
Jan 7 at 16:44
1
$begingroup$
Linear representations of finite groups by J.P. Serre
$endgroup$
– A.E
Jan 7 at 16:45
$begingroup$
What do you mean by the "standard representation"? And what do you mean by "the permutation representation"? ("Permutation representation" has a standard meaning, but "the permutation representation" does not.)
$endgroup$
– Eric Wofsey
Jan 7 at 19:39
$begingroup$
@Eric Wofsey yes I am talking about permutation representation where the group G acts on a finite set X
$endgroup$
– A.E
Jan 8 at 11:19
$begingroup$
@EricWofsey this is where I read upon about the standard representation: mit.edu/~ivogt/Representation_Theory.pdf
$endgroup$
– A.E
Jan 8 at 11:26
1
1
$begingroup$
context? link to what you are reading?
$endgroup$
– T. Fo
Jan 7 at 16:44
$begingroup$
context? link to what you are reading?
$endgroup$
– T. Fo
Jan 7 at 16:44
1
1
$begingroup$
Linear representations of finite groups by J.P. Serre
$endgroup$
– A.E
Jan 7 at 16:45
$begingroup$
Linear representations of finite groups by J.P. Serre
$endgroup$
– A.E
Jan 7 at 16:45
$begingroup$
What do you mean by the "standard representation"? And what do you mean by "the permutation representation"? ("Permutation representation" has a standard meaning, but "the permutation representation" does not.)
$endgroup$
– Eric Wofsey
Jan 7 at 19:39
$begingroup$
What do you mean by the "standard representation"? And what do you mean by "the permutation representation"? ("Permutation representation" has a standard meaning, but "the permutation representation" does not.)
$endgroup$
– Eric Wofsey
Jan 7 at 19:39
$begingroup$
@Eric Wofsey yes I am talking about permutation representation where the group G acts on a finite set X
$endgroup$
– A.E
Jan 8 at 11:19
$begingroup$
@Eric Wofsey yes I am talking about permutation representation where the group G acts on a finite set X
$endgroup$
– A.E
Jan 8 at 11:19
$begingroup$
@EricWofsey this is where I read upon about the standard representation: mit.edu/~ivogt/Representation_Theory.pdf
$endgroup$
– A.E
Jan 8 at 11:26
$begingroup$
@EricWofsey this is where I read upon about the standard representation: mit.edu/~ivogt/Representation_Theory.pdf
$endgroup$
– A.E
Jan 8 at 11:26
add a comment |
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1
$begingroup$
context? link to what you are reading?
$endgroup$
– T. Fo
Jan 7 at 16:44
1
$begingroup$
Linear representations of finite groups by J.P. Serre
$endgroup$
– A.E
Jan 7 at 16:45
$begingroup$
What do you mean by the "standard representation"? And what do you mean by "the permutation representation"? ("Permutation representation" has a standard meaning, but "the permutation representation" does not.)
$endgroup$
– Eric Wofsey
Jan 7 at 19:39
$begingroup$
@Eric Wofsey yes I am talking about permutation representation where the group G acts on a finite set X
$endgroup$
– A.E
Jan 8 at 11:19
$begingroup$
@EricWofsey this is where I read upon about the standard representation: mit.edu/~ivogt/Representation_Theory.pdf
$endgroup$
– A.E
Jan 8 at 11:26