215 citations · 807 across the 39 of their papers we have counts for
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math.SG2001★ 29 cited
Convexity of Hamiltonian manifolds
Friedrich Knop
Let K be a connected Lie group and M a Hamiltonian K-manifold. In this paper, we introduce the notion of convexity of M. It implies that the momentum image is convex, the moment ma…
math.AG2001★ 4 cited
A connectedness property of algebraic moment maps
Friedrich Knop
Let a connected reductive group G act on the smooth connected variety X. The cotangent bundle of X is a Hamiltonian G-variety. We show that its "total moment map" has connected fib…
math.RT2001★ 2 cited
Combinatorics and invariant differential operators on multiplicity free spaces
Friedrich Knop
We study the generalization of shifted Jack polynomials to arbitrary multiplicity free spaces. In a previous paper (math.RT/0006004) we showed that these polynomials are eigenfunct…