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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 …
Mark Mueller's user avatar
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 …
Mark Mueller's user avatar