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For questions about sequences of integers. References are often made to the online resource oeis.org.
27
votes
1
answer
877
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Why do the adjoint representations of three exceptional groups have the same first eight mom...
For a representation of a compact Lie group, the $n$th moment of the trace of that representation against the Haar measure is the dimension of the invariant subspace of the $n$th tensor power. The seq …
9
votes
0
answers
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When do almost all these invariants of tensors vanish?
Let $A,B,C,D$ be $n$-dimensional vector spaces over a field $k$.
There is a natural homomorphism from the $mn^m$th tensor power $A^{\otimes (m n^m)} $ of $A$ to $k$ given by the determinant map $A^{\o …