Equality of linear and symplectic orbits

• Pratyusha Chattopadhyay ^[1] ; Ravi A. Rao ^[2]
  1. [1] Indian Statistical Institute

     Indian Statistical Institute

     India

     
  2. [2] Tata Institute of Fundamental Research, Mumbai, India
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 12 (December 2015), 2015, págs. 5363-5386
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.05.019
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• Resumen

  • It is shown that the set of orbits of the action of the elementary symplectic transvection group on all unimodular elements of a symplectic module over a commutative ring in which 2 is invertible is identical with the set of orbits of the action of the corresponding elementary transvection group. This result is used to get improved injective stability estimates for K1 of the symplectic transvection group over a non-singular affine algebras.