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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

1 vote
0 answers
218 views

Weyl Character formula applied to Sp$(4,\mathbb{C})\cap$ U$(4)$.

I have a few questions on an application of the Weyl character formula. To start with we work with the $\mathbb{Q}$ version of Hamilton's quaternions and consider the maximal order $\mathfrak{O} = \m …
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5 votes
1 answer
2k views

Irreducible representations of Sp(2)

I am looking for an explicit description of the finite dimensional irreducible representations of the classical Lie group $\text{Sp}(2) = \{A\in M_2(\mathbb{H})\,|\,A\overline{A}^T = I\}$. I can easi …
fretty's user avatar
  • 562