Journal of the Ramanujan Mathematical Society

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A Local Global Theorem for Extended Ideals


Affiliations
1 Bhaskaracharya Pratishthana, 56/14, Erandavane, Damle Path, Off Law College Road, Pune 411 004, India
2 Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India
3 Tata Institute of Fundamental Research, Dr. Homi Bhabha Road, Mumbai 400 005, India
     

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We establish a relative version of Quillen’s famous Local Global Principle for the elementary linear, symplectic and orthogonal groups acting on a unimodular row. Using this we deduce a symplectic analogue of a theorem of W. van der Kallen’s Excision theorem for the action of the relative elementary linear group on the set of all relative unimodular rows.
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  • A Local Global Theorem for Extended Ideals

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Authors

Himanee Apte
Bhaskaracharya Pratishthana, 56/14, Erandavane, Damle Path, Off Law College Road, Pune 411 004, India
Pratyusha Chattopadhyay
Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India
Ravi A. Rao
Tata Institute of Fundamental Research, Dr. Homi Bhabha Road, Mumbai 400 005, India

Abstract


We establish a relative version of Quillen’s famous Local Global Principle for the elementary linear, symplectic and orthogonal groups acting on a unimodular row. Using this we deduce a symplectic analogue of a theorem of W. van der Kallen’s Excision theorem for the action of the relative elementary linear group on the set of all relative unimodular rows.