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Lie group theoretical construction of period mapping. (English) Zbl 0843.58052

The purpose of this paper is to show how the theory of symplectic reductions with symmetry can be applied to the construction of primitive forms associated with the simple singularities. Moreover, the period mapping associated with a primitive form is investigated in terms of Lie groups and symplectic geometry. As a by-product, an extension of the domain of the period mapping is constructed in our geometric framework.
Reviewer: H.Yamada (Nagoya)

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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References:

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