Equality of Elementary orbits and Elementay symplectic orbits [HBNI Th 24]

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Equality of Elementary orbits and Elementay symplectic orbits [HBNI Th 24]

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dc.contributor.author Pratyusha Chattopadhyay
dc.date.accessioned 2010-10-05T09:58:56Z
dc.date.available 2010-10-05T09:58:56Z
dc.date.issued 2010-10-05T09:58:56Z
dc.date.submitted 2010
dc.identifier.uri http://hdl.handle.net/123456789/238
dc.description.abstract The aim of this thesis is to show a bijection between the orbit spaces of unimodular rows under the action of the elementary linear group and the orbit spaces of unimodular rows under the action of the elementary symplectic group. Also established a relative version of it with respect to an ideal. Then generalized this result and shown that the orbit space of unimodular rows of a projective module under the action of the group of elementary transvections, is in bijection with the orbit space of unimodular rows of a projective module under the action of the group of elementary symplectic transvections with respect to an alrternating form. Specific equalities are used to improve the injective stability bound for K1Sp(R) and Sp(Q, (,)) / E TransSp(Q, (,)). en_US
dc.publisher.publisher
dc.relation.isbasedon LIST of PUBLICATIONS:- 1. P. Chattopadhyay and R.A. Rao. Elementary Symplectic orbit and improved K1- stability.(To Apppear in Journal of K-Theory) 2. R. Basu, P. Chattopadhyay and R.A. Rao. Some Remarks on Symplectic injective Stability. (To appear in Proc. of the AMS.) 3. H. Apte, P. Chattopadhyay and R.A. Rao. .........................(In preparation). 4. P. Chattopadhyay and R.A. Rao. Equality of linear and symplectic orbits. (In preparation). en_US
dc.subject Elementary Orbits en_US
dc.subject HBNI Th 24 en_US
dc.title Equality of Elementary orbits and Elementay symplectic orbits [HBNI Th 24] en_US
dc.type.degree Ph.D en_US
dc.type.institution Institute of Mathematical Sciences en_US
dc.description.advisor Nagaraj, D.S.
dc.description.pages 115p. en_US
dc.type.mainsub Mathematics en_US

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