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Answers

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2

Simply connected algebraic groups and reductive subgroups of maximal rank

1

Finite Order Automorphisms on Complex Simple Lie Algebras

5

SO(p,q) and Howe Duality

10

unitary irreps of O(p,q)

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Appearances of ‘exotic’ compact Lie Groups

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Uniqueness of local Langlands correspondence for connected reductive groups over real/complex field.

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When is a finite dimensional real or complex Lie Group not a matrix group

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Classification of real forms up to inner automorphisms

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Classification of (compact) Lie groups

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What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?