Lie group theoretical construction of period mapping

DOI10.1007/BF02572612zbMath0843.58052WikidataQ115391972 ScholiaQ115391972MaRDI QIDQ1909545

Hiroshi Yamada

Publication date: 19 August 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174807

zbMATH Keywords

symmetrysymplectic geometryLie groupsprimitive formsperiod mappingsymplectic reductions

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Poisson deformations of affine symplectic varieties, Poisson deformations of affine symplectic varieties. II, Freeness of hyperplane arrangements and related topics, Calabi-Yau orbifolds over Hitchin bases, Double loop algebras and elliptic root systems, Slodowy slices and universal Poisson deformations, Extended affine root system. IV: Simply-laced elliptic Lie algebras

Cites Work

• Period mapping associated to a primitive form
• Weylgruppe und Momentabbildung. (Weyl group and moment map)
• The construction of ALE spaces as hyper-Kähler quotients
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Reduction of symplectic manifolds with symmetry
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• Characteristic Classes and Homogeneous Spaces, I
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Lie Group Representations on Polynomial Rings
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