國立高雄大學圖資館 |

Language: English

Back

Groups and symmetriesfrom finite groups to lie groups /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Groups and symmetriesby Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer.
Reminder of title:	from finite groups to lie groups /
Author:	Kosmann-Schwarzbach, Yvette.
other author:	Singer, Stephanie Frank,
Published:	Cham :Springer International Publishing :2022.
Description:	xix, 251 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Representations of groups.
Online resource:	https://doi.org/10.1007/978-3-030-94360-8
ISBN:	9783030943608$q(electronic bk.)

Groups and symmetriesfrom finite groups to lie groups /
Kosmann-Schwarzbach, Yvette.

Groups and symmetriesfrom finite groups to lie groups /[electronic resource] :by Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer. - Second edition. - Cham :Springer International Publishing :2022. - xix, 251 p. :ill., digital ;24 cm. - Universitext,2191-6675. - Universitext..

Introduction -- 1. General Facts About Groups -- 2. Representations of Finite Groups -- 3. Representations of Compact Groups -- 4. Lie Groups and Lie Algebras -- 5. Lie Groups SU(2) and SO(3) -- 6. Representations of SU(2) and SO(3) -- 7. Spherical Harmonics -- 8. Representations of SU(3) and Quarks -- 9. Spin Groups and Spinors -- Problems and Solutions -- Endnote -- Bibliography -- Index.

Groups and Symmetries: From Finite Groups to Lie Groups presents an introduction to the theory of group representations and its applications in quantum mechanics. Accessible to advanced undergraduates in mathematics and physics as well as beginning graduate students, the text deals with the theory of representations of finite groups, compact groups, linear Lie groups and their Lie algebras, concisely and in one volume. Prerequisites include calculus and linear algebra. This new edition contains an additional chapter that deals with Clifford algebras, spin groups, and the theory of spinors, as well as new sections entitled "Topics in history" comprising notes on the history of the material treated within each chapter. (Taken together, they constitute an account of the development of the theory of groups from its inception in the 18th century to the mid-20th.) References for additional resources and further study are provided in each chapter. All chapters end with exercises of varying degree of difficulty, some of which introduce new definitions and results. The text concludes with a collection of problems with complete solutions making it ideal for both course work and independent study. Key Topics include: Brisk review of the basic definitions of group theory, with examples Representation theory of finite groups: character theory Representations of compact groups using the Haar measure Lie algebras and linear Lie groups Detailed study of SO(3) and SU(2), and their representations Spherical harmonics Representations of SU(3), roots and weights, with quark theory as a consequence of the mathematical properties of this symmetry group Spin groups and spinors.

ISBN: 9783030943608$q(electronic bk.)

Standard No.: 10.1007/978-3-030-94360-8doiSubjects--Topical Terms:

191076
Representations of groups.

LC Class. No.: QA176 / .K67 2022

Dewey Class. No.: 512.22

Groups and symmetriesfrom finite groups to lie groups /
LDR:03186nmm a2200349 a 4500 001 627841
003 DE-He213
005 20220716114804.0
006 m d
007 cr nn 008maaau
008 230201s2022 sz s 0 eng d
020 $a 9783030943608$q(electronic bk.)
020 $a 9783030943592$q(paper)
024 7 $a 10.1007/978-3-030-94360-8 $2 doi
035 $a 978-3-030-94360-8
040 $a GP $c GP
041 1 $a eng $h fre
050 4 $a QA176 $b .K67 2022
072 7 $a PBF $2 bicssc
072 7 $a MAT002000 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.22 $2 23
090 $a QA176 $b .K86 2022
100 1 $a Kosmann-Schwarzbach, Yvette. $3 456110
245 1 0 $a Groups and symmetries $h [electronic resource] : $b from finite groups to lie groups / $c by Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xix, 251 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 2191-6675
505 0 $a Introduction -- 1. General Facts About Groups -- 2. Representations of Finite Groups -- 3. Representations of Compact Groups -- 4. Lie Groups and Lie Algebras -- 5. Lie Groups SU(2) and SO(3) -- 6. Representations of SU(2) and SO(3) -- 7. Spherical Harmonics -- 8. Representations of SU(3) and Quarks -- 9. Spin Groups and Spinors -- Problems and Solutions -- Endnote -- Bibliography -- Index.
520 $a Groups and Symmetries: From Finite Groups to Lie Groups presents an introduction to the theory of group representations and its applications in quantum mechanics. Accessible to advanced undergraduates in mathematics and physics as well as beginning graduate students, the text deals with the theory of representations of finite groups, compact groups, linear Lie groups and their Lie algebras, concisely and in one volume. Prerequisites include calculus and linear algebra. This new edition contains an additional chapter that deals with Clifford algebras, spin groups, and the theory of spinors, as well as new sections entitled "Topics in history" comprising notes on the history of the material treated within each chapter. (Taken together, they constitute an account of the development of the theory of groups from its inception in the 18th century to the mid-20th.) References for additional resources and further study are provided in each chapter. All chapters end with exercises of varying degree of difficulty, some of which introduce new definitions and results. The text concludes with a collection of problems with complete solutions making it ideal for both course work and independent study. Key Topics include: Brisk review of the basic definitions of group theory, with examples Representation theory of finite groups: character theory Representations of compact groups using the Haar measure Lie algebras and linear Lie groups Detailed study of SO(3) and SU(2), and their representations Spherical harmonics Representations of SU(3), roots and weights, with quark theory as a consequence of the mathematical properties of this symmetry group Spin groups and spinors.
650 0 $a Representations of groups. $3 191076
650 0 $a Finite groups. $3 245404
650 0 $a Lie groups. $3 190898
650 1 4 $a Algebra. $3 188312
650 2 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Applications of Mathematics. $3 273744
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
650 2 4 $a Quantum Physics. $3 275010
650 2 4 $a Crystallography and Scattering Methods. $3 770860
700 1 $a Singer, Stephanie Frank, $e translator. $3 932044
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Universitext. $3 558272
856 4 0 $u https://doi.org/10.1007/978-3-030-94360-8
950 $a Mathematics and Statistics (SpringerNature-11649)