Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Computational Invariant Theory
~
Derksen, Harm.
Computational Invariant Theory
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Computational Invariant Theory/ by Harm Derksen, Gregor Kemper.
Author:
Derksen, Harm.
other author:
Kemper, Gregor.
Description:
XXII, 366 p. 13 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Topological groups. -
Online resource:
https://doi.org/10.1007/978-3-662-48422-7
ISBN:
9783662484227
Computational Invariant Theory
Derksen, Harm.
Computational Invariant Theory
[electronic resource] /by Harm Derksen, Gregor Kemper. - 2nd ed. 2015. - XXII, 366 p. 13 illus. in color.online resource. - Encyclopaedia of Mathematical Sciences,0938-0396. - Encyclopaedia of Mathematical Sciences,.
Preface -- 1 Constructive Ideal Theory -- 2 Invariant Theory -- 3 Invariant Theory of Finite Groups -- 4 Invariant Theory of Reductive Groups -- 5 Applications of Invariant Theory -- A. Linear Algebraic Groups -- B. Is one of the two Orbits in the Closure of the Other? by V.L.Popov -- C. Stratification of the Nullcone by V.L.Popov -- Addendum to C. The Source Code of HNC by N.A’Campo and V.L.Popov -- Notation -- Index. .
This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters, one on Gröbner basis methods and one on the basic concepts of invariant theory, which prepare the ground for the algorithms. Then algorithms for computing invariants of finite and reductive groups are discussed. Particular emphasis lies on interrelations between structural properties of invariant rings and computational methods. Finally, the book contains a chapter on applications of invariant theory, covering fields as disparate as graph theory, coding theory, dynamical systems, and computer vision. The book is intended for postgraduate students as well as researchers in geometry, computer algebra, and, of course, invariant theory. The text is enriched with numerous explicit examples which illustrate the theory and should be of more than passing interest. More than ten years after the first publication of the book, the second edition now provides a major update and covers many recent developments in the field. Among the roughly 100 added pages there are two appendices, authored by Vladimir Popov, and an addendum by Norbert A'Campo and Vladimir Popov. .
ISBN: 9783662484227
Standard No.: 10.1007/978-3-662-48422-7doiSubjects--Topical Terms:
885827
Topological groups.
LC Class. No.: QA252.3
Dewey Class. No.: 512.55
Computational Invariant Theory
LDR
:03247nam a22004335i 4500
001
969049
003
DE-He213
005
20200704094323.0
007
cr nn 008mamaa
008
201211s2015 gw | s |||| 0|eng d
020
$a
9783662484227
$9
978-3-662-48422-7
024
7
$a
10.1007/978-3-662-48422-7
$2
doi
035
$a
978-3-662-48422-7
050
4
$a
QA252.3
050
4
$a
QA387
072
7
$a
PBG
$2
bicssc
072
7
$a
MAT014000
$2
bisacsh
072
7
$a
PBG
$2
thema
082
0 4
$a
512.55
$2
23
082
0 4
$a
512.482
$2
23
100
1
$a
Derksen, Harm.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1070522
245
1 0
$a
Computational Invariant Theory
$h
[electronic resource] /
$c
by Harm Derksen, Gregor Kemper.
250
$a
2nd ed. 2015.
264
1
$a
Berlin, Heidelberg :
$b
Springer Berlin Heidelberg :
$b
Imprint: Springer,
$c
2015.
300
$a
XXII, 366 p. 13 illus. in color.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Encyclopaedia of Mathematical Sciences,
$x
0938-0396
505
0
$a
Preface -- 1 Constructive Ideal Theory -- 2 Invariant Theory -- 3 Invariant Theory of Finite Groups -- 4 Invariant Theory of Reductive Groups -- 5 Applications of Invariant Theory -- A. Linear Algebraic Groups -- B. Is one of the two Orbits in the Closure of the Other? by V.L.Popov -- C. Stratification of the Nullcone by V.L.Popov -- Addendum to C. The Source Code of HNC by N.A’Campo and V.L.Popov -- Notation -- Index. .
520
$a
This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters, one on Gröbner basis methods and one on the basic concepts of invariant theory, which prepare the ground for the algorithms. Then algorithms for computing invariants of finite and reductive groups are discussed. Particular emphasis lies on interrelations between structural properties of invariant rings and computational methods. Finally, the book contains a chapter on applications of invariant theory, covering fields as disparate as graph theory, coding theory, dynamical systems, and computer vision. The book is intended for postgraduate students as well as researchers in geometry, computer algebra, and, of course, invariant theory. The text is enriched with numerous explicit examples which illustrate the theory and should be of more than passing interest. More than ten years after the first publication of the book, the second edition now provides a major update and covers many recent developments in the field. Among the roughly 100 added pages there are two appendices, authored by Vladimir Popov, and an addendum by Norbert A'Campo and Vladimir Popov. .
650
0
$a
Topological groups.
$3
885827
650
0
$a
Lie groups.
$3
527929
650
0
$a
Algorithms.
$3
527865
650
1 4
$a
Topological Groups, Lie Groups.
$3
672074
700
1
$a
Kemper, Gregor.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
783647
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783662484203
776
0 8
$i
Printed edition:
$z
9783662484210
776
0 8
$i
Printed edition:
$z
9783662569214
830
0
$a
Encyclopaedia of Mathematical Sciences,
$x
0938-0396
$3
1264640
856
4 0
$u
https://doi.org/10.1007/978-3-662-48422-7
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login