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Involutive Moving Frames.

University of Minnesota.

Involutive Moving Frames.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Involutive Moving Frames./
Author:	Arnaldsson, Orn.
Description:	1 online resource (171 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
Contained By:	Dissertation Abstracts International79-02B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355319309

Involutive Moving Frames.
Arnaldsson, Orn.

Involutive Moving Frames. - 1 online resource (171 pages)

Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

This thesis combines two major equivalence methods, Cartan's equivalence method and the method of the equivariant moving frame for pseudo-groups, to obtain a more efficient tool with which to tackle a large class of equivalence and symmetry problems. These include, for example, all equivalence problems for sections of tensor bundles under change of variable and those arising in the calculus of variations. Furthermore, once the connection between the two original equivalence methods has become clear, we provide a proof of termination of Cartan's method in these cases. To obtain this termination result, we develop a novel algorithm for the computation of Pommaret bases for polynomial modules.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355319309Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Involutive Moving Frames.
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008 190606s2017 xx obm 000 0 eng d
020 $a 9780355319309
035 $a (MiAaPQ)AAI10601276
035 $a (MiAaPQ)umn:18298
035 $a AAI10601276
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Arnaldsson, Orn. $3 1180838
245 1 0 $a Involutive Moving Frames.
264 0 $c 2017
300 $a 1 online resource (171 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
500 $a Adviser: Peter J. Olver.
502 $a Thesis (Ph.D.) $c University of Minnesota $d 2017.
504 $a Includes bibliographical references
520 $a This thesis combines two major equivalence methods, Cartan's equivalence method and the method of the equivariant moving frame for pseudo-groups, to obtain a more efficient tool with which to tackle a large class of equivalence and symmetry problems. These include, for example, all equivalence problems for sections of tensor bundles under change of variable and those arising in the calculus of variations. Furthermore, once the connection between the two original equivalence methods has become clear, we provide a proof of termination of Cartan's method in these cases. To obtain this termination result, we develop a novel algorithm for the computation of Pommaret bases for polynomial modules.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Minnesota. $b Mathematics. $3 1180493
773 0 $t Dissertation Abstracts International $g 79-02B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10601276 $z click for full text (PQDT)

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