Constant mean curvature surfaces and loop groups.
H Wu, J Dorfmeister - Journal für die reine und angewandte …, 1993 - degruyter.com
Constant mean curvature (cmc) surfaces in the three-dimensional space forms have
received much attention in recent years. In particular, cmc tori have been investigated by …
received much attention in recent years. In particular, cmc tori have been investigated by …
Projective completions of Jordan pairs, Part II: Manifold structures and symmetric spaces
W Bertram, KH Neeb - Geometriae Dedicata, 2005 - Springer
We define symmetric spaces in arbitrary dimension and over arbitrary non-discrete
topological fields K, and we construct manifolds and symmetric spaces associated to …
topological fields K, and we construct manifolds and symmetric spaces associated to …
Projective completions of Jordan pairs: Part I. The generalized projective geometry of a Lie algebra
W Bertram, KH Neeb - Journal of Algebra, 2004 - Elsevier
We prove that the projective completion (X+, X−) of the Jordan pair (g 1, g− 1) corresponding
to a 3-graded Lie algebra g= g 1⊕ g 0⊕ g− 1 can be realized inside the space F of inner 3 …
to a 3-graded Lie algebra g= g 1⊕ g 0⊕ g− 1 can be realized inside the space F of inner 3 …
[图书][B] Classical Hilbert-Lie groups, their extensions and their homotopy groups
KH Neeb - 2001 - mathematik.tu-darmstadt.de
Let H be a complex Hilbert space and D a hermitian operator on H with finite spectrum. Then
the operators for which the commutator with D is of Schatten class p form a Banach algebra …
the operators for which the commutator with D is of Schatten class p form a Banach algebra …
The structure of Hilbert flag varieties
GF Helminck, AG Helminck - Publications of the Research Institute …, 1994 - jstage.jst.go.jp
In this paper we present a geometric realization of infinite dimensional analogues of the
finite dimensional representations of the general linear group. This requires a detailed …
finite dimensional representations of the general linear group. This requires a detailed …
With a Cole–Hopf transformation to solutions of the noncommutative KP hierarchy in terms of Wronski matrices
A Dimakis, F Müller-Hoissen - Journal of Physics A: Mathematical …, 2007 - iopscience.iop.org
In the case of the KP hierarchy where the dependent variable takes values in an (arbitrary)
associative algebra, it is known that there are solutions which can be expressed in terms of …
associative algebra, it is known that there are solutions which can be expressed in terms of …
Burgers and Kadomtsev-Petviashvili hierarchies: A functional representation approach
A Dimakis, F Müller-Hoissen - Theoretical and Mathematical Physics, 2007 - Springer
Functional representations of (matrix) Burgers and potential Kadomtsev-Petviashvili (pKP)
hierarchies (and others), as well as some corresponding Bäcklund transformations, can be …
hierarchies (and others), as well as some corresponding Bäcklund transformations, can be …
Jordan structures in mathematics and physics
R Iordanescu - arXiv preprint arXiv:1106.4415, 2011 - arxiv.org
The aim of this paper is to offer an overview of the most important applications of Jordan
structures inside mathematics and also to physics, up-dated references being included. For …
structures inside mathematics and also to physics, up-dated references being included. For …
Isometric embeddings of infinite-dimensional Grassmannians
E Previato, M Spera - Regular and Chaotic Dynamics, 2011 - Springer
We investigate geometric properties of the (Sato-Segal-Wilson) Grassmannian and its
submanifolds, with special attention to the orbits of the KP flows. We use a coherentstates …
submanifolds, with special attention to the orbits of the KP flows. We use a coherentstates …