Groups and Manifolds : : Lectures for Physicists with Examples in Mathematica / / Pietro Giuseppe Fré, Alexander Fedotov.
Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2018 |
| Year of Publication: | 2017 |
| Language: | English |
| Series: | De Gruyter Textbook
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| Physical Description: | 1 online resource (XXI, 475 p.) |
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Fré, Pietro Giuseppe, author. aut http://id.loc.gov/vocabulary/relators/aut Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / Pietro Giuseppe Fré, Alexander Fedotov. Berlin ; Boston : De Gruyter, [2017] ©2018 1 online resource (XXI, 475 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Acknowledgement -- Contents -- Some remarks about notation -- 1. Fundamental notions of algebra -- 2. Groups: a bestiary for beginners -- 3. Basic elements of finite group theory -- 4. Finite subgroups of SO(3) and crystallographic groups -- 5. Manifolds and Lie groups -- 6. Structure of Lie algebras -- 7. Root systems and their classification -- 8. Lie algebra representation theory -- 9. Exceptional Lie algebras -- 10. A primary on the theory of connections and metrics -- 11. Isometries and the geometry of coset manifolds -- 12. An anthology of group theory physical applications -- A. Exercises -- B. MATHEMATICA NoteBooks -- Bibliography restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Algebraic topology. Group theory. Manifolds (Mathematics) Manifolds (Mathematics). Differentialgeometrie. Lie-Algebra. Supersymmetrie. SCIENCE / Physics / Mathematical & Computational. bisacsh Fedotov, Alexander, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017 9783110548235 ZDB-23-DPC EPUB 9783110551334 print 9783110551198 https://doi.org/10.1515/9783110551204 https://www.degruyter.com/isbn/9783110551204 Cover https://www.degruyter.com/cover/covers/9783110551204.jpg |
| language |
English |
| format |
eBook |
| author |
Fré, Pietro Giuseppe, Fré, Pietro Giuseppe, Fedotov, Alexander, |
| spellingShingle |
Fré, Pietro Giuseppe, Fré, Pietro Giuseppe, Fedotov, Alexander, Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / De Gruyter Textbook Frontmatter -- Preface -- Acknowledgement -- Contents -- Some remarks about notation -- 1. Fundamental notions of algebra -- 2. Groups: a bestiary for beginners -- 3. Basic elements of finite group theory -- 4. Finite subgroups of SO(3) and crystallographic groups -- 5. Manifolds and Lie groups -- 6. Structure of Lie algebras -- 7. Root systems and their classification -- 8. Lie algebra representation theory -- 9. Exceptional Lie algebras -- 10. A primary on the theory of connections and metrics -- 11. Isometries and the geometry of coset manifolds -- 12. An anthology of group theory physical applications -- A. Exercises -- B. MATHEMATICA NoteBooks -- Bibliography |
| author_facet |
Fré, Pietro Giuseppe, Fré, Pietro Giuseppe, Fedotov, Alexander, Fedotov, Alexander, Fedotov, Alexander, |
| author_variant |
p g f pg pgf p g f pg pgf a f af |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Fedotov, Alexander, Fedotov, Alexander, |
| author2_variant |
a f af |
| author2_role |
VerfasserIn VerfasserIn |
| author_sort |
Fré, Pietro Giuseppe, |
| title |
Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / |
| title_sub |
Lectures for Physicists with Examples in Mathematica / |
| title_full |
Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / Pietro Giuseppe Fré, Alexander Fedotov. |
| title_fullStr |
Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / Pietro Giuseppe Fré, Alexander Fedotov. |
| title_full_unstemmed |
Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / Pietro Giuseppe Fré, Alexander Fedotov. |
| title_auth |
Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / |
| title_alt |
Frontmatter -- Preface -- Acknowledgement -- Contents -- Some remarks about notation -- 1. Fundamental notions of algebra -- 2. Groups: a bestiary for beginners -- 3. Basic elements of finite group theory -- 4. Finite subgroups of SO(3) and crystallographic groups -- 5. Manifolds and Lie groups -- 6. Structure of Lie algebras -- 7. Root systems and their classification -- 8. Lie algebra representation theory -- 9. Exceptional Lie algebras -- 10. A primary on the theory of connections and metrics -- 11. Isometries and the geometry of coset manifolds -- 12. An anthology of group theory physical applications -- A. Exercises -- B. MATHEMATICA NoteBooks -- Bibliography |
| title_new |
Groups and Manifolds : |
| title_sort |
groups and manifolds : lectures for physicists with examples in mathematica / |
| series |
De Gruyter Textbook |
| series2 |
De Gruyter Textbook |
| publisher |
De Gruyter, |
| publishDate |
2017 |
| physical |
1 online resource (XXI, 475 p.) |
| contents |
Frontmatter -- Preface -- Acknowledgement -- Contents -- Some remarks about notation -- 1. Fundamental notions of algebra -- 2. Groups: a bestiary for beginners -- 3. Basic elements of finite group theory -- 4. Finite subgroups of SO(3) and crystallographic groups -- 5. Manifolds and Lie groups -- 6. Structure of Lie algebras -- 7. Root systems and their classification -- 8. Lie algebra representation theory -- 9. Exceptional Lie algebras -- 10. A primary on the theory of connections and metrics -- 11. Isometries and the geometry of coset manifolds -- 12. An anthology of group theory physical applications -- A. Exercises -- B. MATHEMATICA NoteBooks -- Bibliography |
| isbn |
9783110551204 9783110719550 9783110540550 9783110625264 9783110548235 9783110551334 9783110551198 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA612 |
| callnumber-sort |
QA 3612 F74 42018 |
| url |
https://doi.org/10.1515/9783110551204 https://www.degruyter.com/isbn/9783110551204 https://www.degruyter.com/cover/covers/9783110551204.jpg |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512.2 |
| dewey-sort |
3512.2 |
| dewey-raw |
512.2 |
| dewey-search |
512.2 |
| doi_str_mv |
10.1515/9783110551204 |
| oclc_num |
1020028210 |
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AT frepietrogiuseppe groupsandmanifoldslecturesforphysicistswithexamplesinmathematica AT fedotovalexander groupsandmanifoldslecturesforphysicistswithexamplesinmathematica |
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n |
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(DE-B1597)482706 (OCoLC)1020028210 |
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Groups and Manifolds : Lectures for Physicists with Examples in Mathematica / |
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