Groups and Symmetries: from finite groups to Lie groups
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 o...
Gespeichert in:
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| Weitere Verfasser: | |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2022]
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| Ausgabe: | Second edition |
| Schriftenreihe: | Universitext
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| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | xvii, 251 pp. 467 grams |
| ISBN: | 9783030943592 |
Internformat
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| 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 | ||
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| 650 | 4 | |a Algebra | |
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:31:19Z |
| indexdate | 2024-07-10T09:55:13Z |
| institution | BVB |
| isbn | 9783030943592 |
| language | English |
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| physical | xvii, 251 pp. 467 grams |
| publishDate | 2022 |
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| publisher | Springer |
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| spelling | Kosmann-Schwarzbach, Yvette 1941- Verfasser (DE-588)14349645X aut Groups and Symmetries from finite groups to Lie groups Yvette Kosmann-Schwarzbach. Translated by Stephanie Frank Singer Second edition Cham Springer [2022] © 2022 xvii, 251 pp. 467 grams txt rdacontent n rdamedia nc rdacarrier Universitext 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 bicssc bisacsh Group theory Mathematics Mathematical physics Quantum physics Crystallography Algebra Hardcover, Softcover / Mathematik/Arithmetik, Algebra Singer, Stephanie Frank 1964- (DE-588)122914686 trl Erscheint auch als Online-Ausgabe 978-3-030-94360-8 Vorangegangen ist First edition 978-0-387-78865-4 (DE-604)BV035400559 |
| spellingShingle | Kosmann-Schwarzbach, Yvette 1941- Groups and Symmetries from finite groups to Lie groups bicssc bisacsh Group theory Mathematics Mathematical physics Quantum physics Crystallography Algebra |
| title | Groups and Symmetries from finite groups to Lie groups |
| title_auth | Groups and Symmetries from finite groups to Lie groups |
| title_exact_search | Groups and Symmetries from finite groups to Lie groups |
| title_exact_search_txtP | Groups and Symmetries from finite groups to Lie groups |
| title_full | Groups and Symmetries from finite groups to Lie groups Yvette Kosmann-Schwarzbach. Translated by Stephanie Frank Singer |
| title_fullStr | Groups and Symmetries from finite groups to Lie groups Yvette Kosmann-Schwarzbach. Translated by Stephanie Frank Singer |
| title_full_unstemmed | Groups and Symmetries from finite groups to Lie groups Yvette Kosmann-Schwarzbach. Translated by Stephanie Frank Singer |
| title_short | Groups and Symmetries |
| title_sort | groups and symmetries from finite groups to lie groups |
| title_sub | from finite groups to Lie groups |
| topic | bicssc bisacsh Group theory Mathematics Mathematical physics Quantum physics Crystallography Algebra |
| topic_facet | bicssc bisacsh Group theory Mathematics Mathematical physics Quantum physics Crystallography Algebra |
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