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Results tagged with rt.representation-theory
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user 83999
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
7
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0
answers
277
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Branching of representations in finite groups, literature question
I want to learn about branching of representations in finite groups. In my field (chemistry) this is of certain relevance and I like to learn about what knowledge there is on the mathematical side. In …
4
votes
0
answers
233
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Branching of anti-symmetric part of product of irreducible representations
This is a corrected version of a previous question (https://mathoverflow.net/questions/303060/branching-of-products?noredirect, suggested for deletion), which contained a wrong conjecture.
Let $V_ …
1
vote
0
answers
274
views
Generalisation of the Liouville function as irreducible representations for the semigroup ($...
This is a duplicate of a question I have asked at here at math stack exchange, but I thought it could be also here of interest.
When looking at the [Liouville function] (https://en.wikipedia.org/wiki …
1
vote
0
answers
51
views
In 3D point groups, does $[\Gamma_{e}\otimes\Gamma_e] = \Gamma_{Rot_z} \forall$ degenerate $...
In the following I am referring to groups exclusively describing 3D point symmetries. I use the Schönflies notation for groups and their elements and the Mulliken symbols to describe their irreducible …
4
votes
0
answers
526
views
How many non-isomorphic groups share the same character table?
I have been thinking for a while about how to enumerate all finite groups. The classical way e.g. here would be to go via latin squares and then try to calculate how many of those obey associativity. …
29
votes
2
answers
2k
views
What determines the maximal dimension of the irreps of a (finite) group?
I am chemist and ask for apologies for all my mathematical inabilities when asking this question in advance, but after quite a bit of searching I found that this problem could be "open" or at least ha …