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The Classification of Symplectic Structures of Convex Type (2000)

Neumann, Andreas

Springer

Geometriae dedicata 79 (2000), S. 299-320

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ISSN: 1572-9168

Keywords: symplectic module ; symplectic module of convex type ; invariant cone ; Lie algebra

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper we give a classification of a certain class of semisimple symplectic structures, more precisely all symplectic structures Ω for which a symplectic module (V,Ω) is of convex type. This classification then leads to a classification of Lie algebras with invariant cones and at most one dimensional center.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1005260629187

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