Abstract
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.
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© 1991 Springer-Verlag
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Janeczko, S., Roberts, M. (1991). Classification of symmetric caustics I: symplectic equivalence. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085432
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DOI: https://doi.org/10.1007/BFb0085432
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