Representation of $SO(3)$ [on hold]Do all Groups have a representation?Lie bracket as defining element for transformationsIs trace of regular representation in Lie group a delta function?Is trace of regular representation in Lie group a delta function?Groups without matrix representation?Representation theory definition confusionstandard representation for symmetric groups motivationSplitting Field in Group Representation and PolynomialDimensionality of representationsGroup theory and Quantum mechanics
Multi tool use
Why does Deadpool say "You're welcome, Canada," after shooting Ryan Reynolds in the end credits?
Why would one plane in this picture not have gear down yet?
What is the chance of making a successful appeal to dismissal decision from a PhD program after failing the qualifying exam in the 2nd attempt?
BitNot does not flip bits in the way I expected
Can someone explain what is being said here in color publishing in the American Mathematical Monthly?
Space in array system equations
Peter's Strange Word
Accountant/ lawyer will not return my call
Do I really need to have a scientific explanation for my premise?
Extra alignment tab has been changed to cr. } using table, tabular and resizebox
Placing subfig vertically
How strictly should I take "Candidates must be local"?
What wound would be of little consequence to a biped but terrible for a quadruped?
Make a transparent 448*448 image
Can't find the Shader/UVs tab
Is Gradient Descent central to every optimizer?
Finding algorithms of QGIS commands?
How to create a hard link to an inode (ext4)?
Why is this plane circling around the Lucknow airport every day?
Is there an equal sign with wider gap?
Low budget alien movie about the Earth being cooked
Subset counting for even numbers
Should I tell my boss the work he did was worthless
Is there any way to damage Intellect Devourer(s) when already within a creature's skull?
Representation of $SO(3)$ [on hold]
Do all Groups have a representation?Lie bracket as defining element for transformationsIs trace of regular representation in Lie group a delta function?Is trace of regular representation in Lie group a delta function?Groups without matrix representation?Representation theory definition confusionstandard representation for symmetric groups motivationSplitting Field in Group Representation and PolynomialDimensionality of representationsGroup theory and Quantum mechanics
$begingroup$
I am confused about varies definitions of representation of a group, for example consider the rotation group $SO(3)$. For $SO(3)$ what is its representation?
Vectors and all tensors that transform under $SO(3)$ is called representation of $SO(3)$ or the metric elements of $SO(3)$ which corresponds to transformation of coordinate is called representation of $SO(3)$. Which one is right?
group-theory representation-theory lie-groups
edited 2 days ago
Christoph
12.5k1642
asked 2 days ago
robinrobin
183
$endgroup$
put on hold as unclear what you're asking by José Carlos Santos, Christoph, Song, Ramiro, Paul Frost 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
I am confused about varies definitions of representation of a group, for example consider the rotation group $SO(3)$. For $SO(3)$ what is its representation?
Vectors and all tensors that transform under $SO(3)$ is called representation of $SO(3)$ or the metric elements of $SO(3)$ which corresponds to transformation of coordinate is called representation of $SO(3)$. Which one is right?
group-theory representation-theory lie-groups
edited 2 days ago
Christoph
12.5k1642
asked 2 days ago
robinrobin
183
$endgroup$
put on hold as unclear what you're asking by José Carlos Santos, Christoph, Song, Ramiro, Paul Frost 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
There is not "the representation of a group". A representation of a group $G$ is a vector space $V$ on which $G$ acts by endomorphisms. For a given $G$, there are many different representations.
$endgroup$
– Christoph
2 days ago
2
$begingroup$
Neither of those are a good definition. Look up the general definition (for an abstract group) first.
$endgroup$
– Tobias Kildetoft
2 days ago
add a comment |
$begingroup$
I am confused about varies definitions of representation of a group, for example consider the rotation group $SO(3)$. For $SO(3)$ what is its representation?
Vectors and all tensors that transform under $SO(3)$ is called representation of $SO(3)$ or the metric elements of $SO(3)$ which corresponds to transformation of coordinate is called representation of $SO(3)$. Which one is right?
group-theory representation-theory lie-groups
edited 2 days ago
Christoph
12.5k1642
asked 2 days ago
robinrobin
183
$endgroup$
I am confused about varies definitions of representation of a group, for example consider the rotation group $SO(3)$. For $SO(3)$ what is its representation?
Vectors and all tensors that transform under $SO(3)$ is called representation of $SO(3)$ or the metric elements of $SO(3)$ which corresponds to transformation of coordinate is called representation of $SO(3)$. Which one is right?
group-theory representation-theory lie-groups
group-theory representation-theory lie-groups
edited 2 days ago
Christoph
12.5k1642
asked 2 days ago
robinrobin
183
edited 2 days ago
Christoph
12.5k1642
asked 2 days ago
robinrobin
183
edited 2 days ago
Christoph
12.5k1642
edited 2 days ago
Christoph
12.5k1642
edited 2 days ago
Christoph
12.5k1642
12.5k1642
asked 2 days ago
robinrobin
183
asked 2 days ago
robinrobin
183
asked 2 days ago
robinrobin
183
183
put on hold as unclear what you're asking by José Carlos Santos, Christoph, Song, Ramiro, Paul Frost 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as unclear what you're asking by José Carlos Santos, Christoph, Song, Ramiro, Paul Frost 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
There is not "the representation of a group". A representation of a group $G$ is a vector space $V$ on which $G$ acts by endomorphisms. For a given $G$, there are many different representations.
$endgroup$
– Christoph
2 days ago
2
$begingroup$
Neither of those are a good definition. Look up the general definition (for an abstract group) first.
$endgroup$
– Tobias Kildetoft
2 days ago
add a comment |
$begingroup$
There is not "the representation of a group". A representation of a group $G$ is a vector space $V$ on which $G$ acts by endomorphisms. For a given $G$, there are many different representations.
$endgroup$
– Christoph
2 days ago
2
$begingroup$
Neither of those are a good definition. Look up the general definition (for an abstract group) first.
$endgroup$
– Tobias Kildetoft
2 days ago
$begingroup$
There is not "the representation of a group". A representation of a group $G$ is a vector space $V$ on which $G$ acts by endomorphisms. For a given $G$, there are many different representations.
$endgroup$
– Christoph
2 days ago
$begingroup$
There is not "the representation of a group". A representation of a group $G$ is a vector space $V$ on which $G$ acts by endomorphisms. For a given $G$, there are many different representations.
$endgroup$
– Christoph
2 days ago
2
2
$begingroup$
Neither of those are a good definition. Look up the general definition (for an abstract group) first.
$endgroup$
– Tobias Kildetoft
2 days ago
$begingroup$
Neither of those are a good definition. Look up the general definition (for an abstract group) first.
$endgroup$
– Tobias Kildetoft
2 days ago
add a comment |
0
active
oldest
votes
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
UMS3nR8tQHAMfiPF
$begingroup$
There is not "the representation of a group". A representation of a group $G$ is a vector space $V$ on which $G$ acts by endomorphisms. For a given $G$, there are many different representations.
$endgroup$
– Christoph
2 days ago
2
$begingroup$
Neither of those are a good definition. Look up the general definition (for an abstract group) first.
$endgroup$
– Tobias Kildetoft
2 days ago