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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
-1
votes
Automorphism group of real orthogonal Lie groups
Check the book Freudenthal Linear Lie groups, in this book you find a
complete treatment of Aut(G) for G a real semisimple (connected) Lie group.
best regards
0
votes
Automorphism group of real orthogonal Lie groups
also check
Onishchik: Lectures on Real Semisimple Lie Algebras and Their Representations.
1
vote
Automorphism group of real orthogonal Lie groups
on page 386 (paragraph 66.7) you find the table Out(G)/Int(G)
on page 387 you find D_{l,j} j>1 your Lie algebras so(p,q) when your p or q is even.
on page 391 you find so(p,q) when both p,q are odd
T …
2
votes
How can one show $G/T$ is a coadjoint orbit for a compact Lie group $G$ and $T$ its maximal ...
Fix a regular element $\lambda$ in $Lie(T)\subset Lie(G)$, then the coadjoint orbit $Ad(G) \lambda$ is isomorphic to $G/T.$ Best,
-1
votes
Is $M=E_{7(7)}/SU(7)\times\mathbb{R}^{+}$ a (pseudo)Kähler-Hodge manifold? Open problem
If i am not wrong the following is true, G compact connected Lie group, H the centralizer of a torus in G, then G/H is a projective manifold, does this answer your question??
2
votes
Branching laws for $SO(n)$
It is not multiplicity free..., check the green book of Antony Knapp, or else the old book of Zelobenko, compact.....
2
votes
Branching laws for $SO(n)$
check Eastwood-Wolf, branchig of ...., Arxive 0812.0822 math[RT] in this paper you find who to compute branching laws useing LiE.