Factorization of symplectic matrices into elementary factors
Copyright policy )Factorization of symplectic matrices into elementary factors
We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.
- University of Oslo Norway
- Aalto University Finland
- University of Bern Switzerland
Stability for linear groups, Stable range conditions, Mathematics - Complex Variables, ta111, K-Theory and Homology (math.KT), Other matrix groups over rings, Mathematics - Symplectic Geometry, Mathematics - K-Theory and Homology, FOS: Mathematics, Symplectic Geometry (math.SG), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Complex Variables (math.CV)
Stability for linear groups, Stable range conditions, Mathematics - Complex Variables, ta111, K-Theory and Homology (math.KT), Other matrix groups over rings, Mathematics - Symplectic Geometry, Mathematics - K-Theory and Homology, FOS: Mathematics, Symplectic Geometry (math.SG), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Complex Variables (math.CV)
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