By Victor Guillemin
The motion of a compact Lie team, G, on a compact sympletic manifold supplies upward thrust to a few awesome combinatorial invariants. the easiest and best of those is the instant polytopes, a convex polyhedron which sits contained in the twin of the Lie algebra of G. one of many major objectives of this monograph is to explain what different types of geometric info are encoded during this polytope. This publication is addressed to researchers and will be used as a semester text.
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