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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
10
votes
2
answers
667
views
SO(p,q) and Howe Duality
I recently learned of a relationship between the representations of the groups $SO(p,q)$ and $SL(2,\mathbb{R})$ which is part of an apparently much larger set of ideas known as Howe Duality. My quest …
12
votes
1
answer
2k
views
unitary irreps of O(p,q)
I am interested in the irreducible unitary representations of the orthogonal groups $O(p,q)$. By $O(p,q)$ I mean the real Lie groups which preserve the quadratic form of signature $(p,q)$ in $\mathbb …