Equality of elementary linear and symplectic orbits with respect to an alternating form

DOI10.1016/j.jalgebra.2015.12.001zbMath1400.14126OpenAlexW2221090950MaRDI QIDQ908343

Pratyusha Chattopadhyay, Ravi A. Rao

Publication date: 4 February 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.12.001

zbMATH Keywords

symplectic groupgroup actionunimodular rowstransvections

Mathematics Subject Classification ID

Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (6)

Completion of skew completable unimodular rows ⋮ Unimodular rows over affine algebras over algebraic closure of a finite field ⋮ Visualization for Petrov's odd unitary group ⋮ A Study of Suslin Matrices: Their Properties and Uses ⋮ Generalised homotopy and commutativity principle ⋮ Equality of orthogonal transvection group and elementary orthogonal transvection group

Cites Work

• Equality of linear and symplectic orbits
• A group structure on certain orbit sets of unimodular rows
• Normal subgroups of symplectic groups over rings
• Elementary symplectic orbits and improved K₁-stability
• THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY
• Projective modules over polynomial rings
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