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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
5
votes
1
answer
1k
views
Finite dimensional spherical representation of $SO(n,1)(\mathbb{R})$
I'm looking for an explicit description of all the finite dimensional irreducible representation of the Lie group $SO(n,1)(\mathbb{R})$. Can you tell me, where I can find this description ? Thank you. …
15
votes
1
answer
5k
views
Basis for the space of Harmonic homogeneous polynomial in N variables.
Hello,
Does someone know an explicit basis of the space of harmonic homogeneous polynomial in N variables.
When $N=3$, if I'm not mistaking Legendre polynomial allow to write an explicit basis.
Is …