Is the regular representation just another way of syaing the standard representation?












0












$begingroup$


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







share|cite|improve this question











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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
















0












$begingroup$


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







share|cite|improve this question











$endgroup$








  • 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














0












0








0





$begingroup$


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







share|cite|improve this question











$endgroup$




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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








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














  • 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










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