We generalise the classification theory of Arnold and Zakalyukin for singularities of Lagrange projections to projections that commute with a symplectic action of a compact Lie group. The theory is applied to the classification of infinitesimally stable corank 1 projections with Z2 symmetry. However examples show that even in very low dimensions there exist generic projections which are not infinitesimally stable
AbstractLetXbe a Hilbert space andφ∈C1(X, R) be strongly indefinite. Assume in addition that a compa...
The thesis contains a structure theory for semisimple symmetric spaces with applications to related ...
We discuss recent results extending the notions of hamiltonian action and reduction in symplectic ge...
Symplectic equivalence of Lagrangian projections is too strong to yield a useful classification of p...
Singularities of symplectic mappings are important in mathematical physics; for example in optics th...
We define a class of symplectic Lie groups associated with solvable symmetric spaces. We give a univ...
We study the classification of varieties in the Marsden–Weinstein reduction and their liftability. I...
This is the pdf -version of the author's Ph.D. thesis (1995, ULB, Belgium). The notion of symeplecti...
0. Introduction. The Lagrange singularity theory connects the Lagrange classifica-tion of Lagrange i...
This book describes recent progress in the topological study of plane curves. The theory of plane cu...
The general setting of this work is the study of symmetry groups of infinite-dimensional spaces. We ...
A symplectic symmetric space is a connected affine symmetric manifold M endowed with a symplectic st...
The general setting of this work is the study of symmetry groups of infinite-dimensional spaces. We ...
A theory of bifurcation equivalence for forced symmetry breaking bifurcation problems is developed. ...
The thesis contains a structure theory for semisimple symmetric spaces with applications to related ...
AbstractLetXbe a Hilbert space andφ∈C1(X, R) be strongly indefinite. Assume in addition that a compa...
The thesis contains a structure theory for semisimple symmetric spaces with applications to related ...
We discuss recent results extending the notions of hamiltonian action and reduction in symplectic ge...
Symplectic equivalence of Lagrangian projections is too strong to yield a useful classification of p...
Singularities of symplectic mappings are important in mathematical physics; for example in optics th...
We define a class of symplectic Lie groups associated with solvable symmetric spaces. We give a univ...
We study the classification of varieties in the Marsden–Weinstein reduction and their liftability. I...
This is the pdf -version of the author's Ph.D. thesis (1995, ULB, Belgium). The notion of symeplecti...
0. Introduction. The Lagrange singularity theory connects the Lagrange classifica-tion of Lagrange i...
This book describes recent progress in the topological study of plane curves. The theory of plane cu...
The general setting of this work is the study of symmetry groups of infinite-dimensional spaces. We ...
A symplectic symmetric space is a connected affine symmetric manifold M endowed with a symplectic st...
The general setting of this work is the study of symmetry groups of infinite-dimensional spaces. We ...
A theory of bifurcation equivalence for forced symmetry breaking bifurcation problems is developed. ...
The thesis contains a structure theory for semisimple symmetric spaces with applications to related ...
AbstractLetXbe a Hilbert space andφ∈C1(X, R) be strongly indefinite. Assume in addition that a compa...
The thesis contains a structure theory for semisimple symmetric spaces with applications to related ...
We discuss recent results extending the notions of hamiltonian action and reduction in symplectic ge...