Equality of Elementary orbits and Elementay symplectic orbits (Record no. 48837)

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fixed length control field 01421nam a2200229Ia 4500
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100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Pratyusha Chattopadhyay
Relator term author
245 ## - TITLE STATEMENT
Title Equality of Elementary orbits and Elementay symplectic orbits
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 2010
300 ## - PHYSICAL DESCRIPTION
Number of Pages 115p.
502 ## - DISSERTATION NOTE
Dissertation note 2010
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Degree Type Ph.D
502 ## - DISSERTATION NOTE
Name of granting institution
520 3# - SUMMARY, ETC.
Summary, etc 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, (,)).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Elementary Orbits
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term HBNI Th 24
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor Nagaraj, D.S.
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/238
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Accession Number Uniform Resource Identifier Koha item type
        IMSc Library HBNI Th24 64148 http://www.imsc.res.in/xmlui/handle/123456789/238 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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