Equality of Elementary orbits and Elementay symplectic orbits (Record no. 48837)
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fixed length control field | 01421nam a2200229Ia 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 160627s2010||||xx |||||||||||||| ||und|| |
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 |
502 ## - DISSERTATION NOTE | |
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 |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | HBNI Th24 | 64148 | http://www.imsc.res.in/xmlui/handle/123456789/238 | THESIS & DISSERTATION |