Zobrazeno 1 - 10
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pro vyhledávání: '"LANE, JEREMY"'
Autor:
Carlson, Jeffrey D., Lane, Jeremy
We prove several new results about the topology of fibers of Gelfand--Zeitlin systems on unitary and orthogonal coadjoint orbits, at the same time finding a unifying framework recovering and shedding light on essentially all known results. We find co
Externí odkaz:
http://arxiv.org/abs/2107.02721
Publikováno v:
Involve 15 (2022) 775-812
The main contribution of this manuscript is a local normal form for Hamiltonian actions of Poisson-Lie groups $K$ on a symplectic manifold equipped with an $AN$-valued moment map, where $AN$ is the dual Poisson-Lie group of $K$. Our proof uses the de
Externí odkaz:
http://arxiv.org/abs/2106.02957
Autor:
Hoffman, Benjamin, Lane, Jeremy
We construct completely integrable torus actions on the dual Lie algebra of any compact Lie group $K$ with respect to the standard Lie-Poisson structure. These systems generalize properties of Gelfand-Zeitlin systems for unitary and orthogonal Lie gr
Externí odkaz:
http://arxiv.org/abs/2008.13656
Coadjoint orbits and multiplicity free spaces of compact Lie groups are important examples of symplectic manifolds with Hamiltonian groups actions. Constructing action-angle variables on these spaces is a challenging task. A fundamental result in the
Externí odkaz:
http://arxiv.org/abs/2003.13621
Autor:
Lane, Jeremy
Publikováno v:
Pacific J. Math. 309 (2020) 401-419
Actions of $U(n)$ on $U(n+1)$ coadjoint orbits via embeddings of $U(n)$ into $U(n+1)$ are an important family of examples of multiplicity free spaces. They are related to Gelfand-Zeitlin completely integrable systems and multiplicity free branching r
Externí odkaz:
http://arxiv.org/abs/2002.09930
Publikováno v:
In Advances in Mathematics 1 February 2023 414
