Journal of the Ramanujan Mathematical Society

Himanee Apte ¹, Pratyusha Chattopadhyay ², Ravi A. Rao ³

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

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.

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