Mathematics – Representation Theory
Scientific paper
2005-01-20
Mathematics
Representation Theory
19 pages
Scientific paper
A complete description of the coadjoint orbits for A_{n-1}^{+}, the nilpotent Lie algebra of n-by-n strictly upper triangular matrices, has not yet been obtained, though there has been steady progress on it ever since the orbit method was devised. We apply methods developed by Andre' to find defining equations for the elementary coadjoint orbits for the maximal nilpotent Lie subalgebras of the orthogonal Lie algebras, and we also determine all the possible dimensions of coadjoint orbits in the case of A_{n-1}^{+}.
No associations
LandOfFree
Coadjoint orbits for $A_{n-1}^+, B_{n}^{+}$, and $D_{n}^{+}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Coadjoint orbits for $A_{n-1}^+, B_{n}^{+}$, and $D_{n}^{+}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coadjoint orbits for $A_{n-1}^+, B_{n}^{+}$, and $D_{n}^{+}$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-641644