Discrete, Finite and Lie Groups : : Comprehensive Group Theory in Geometry and Analysis / / Pietro Giuseppe Fré.
In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order. First discrete and finite group theory, that includes the entire chemical-physical field of crystallography is developed self consistentl...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
| Year of Publication: | 2023 |
| Language: | English |
| Series: | De Gruyter STEM
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| Online Access: | |
| Physical Description: | 1 online resource (XXII, 508 p.) |
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| 001 | 9783111201535 | ||
| 003 | DE-B1597 | ||
| 005 | 20240426104009.0 | ||
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| 020 | |a 9783111201535 | ||
| 024 | 7 | |a 10.1515/9783111201535 |2 doi | |
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| 035 | |a (OCoLC)1393306442 | ||
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| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 072 | 7 | |a MAT002000 |2 bisacsh | |
| 100 | 1 | |a Fré, Pietro Giuseppe, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Discrete, Finite and Lie Groups : |b Comprehensive Group Theory in Geometry and Analysis / |c Pietro Giuseppe Fré. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2023] | |
| 264 | 4 | |c ©2023 | |
| 300 | |a 1 online resource (XXII, 508 p.) | ||
| 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 | 0 | |a De Gruyter STEM | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Some remarks about notations -- |t Contents -- |t 1 Groups: the intuitive notion -- |t 2 Fundamental notions of algebra -- |t 3 Groups: noticeable examples and some developments -- |t 4 Basic elements of finite group theory -- |t 5 Finite subgroups of SO(3): the ADE classification -- |t 6 Manifolds and Lie groups -- |t 7 The relation between Lie groups and Lie algebras -- |t 8 Crystallographic groups and group extensions -- |t 9 Monodromy groups of differential equations -- |t 10 Structure of Lie algebras -- |t 11 Root systems and their classification -- |t 12 Lie algebra representation theory -- |t 13 Exceptional Lie algebras -- |t 14 In depth study of a simple group -- |t 15 A primary on the theory of connections and metrics -- |t 16 Isometries and the geometry of coset manifolds -- |t 17 Functional spaces and non-compact Lie algebras -- |t 18 Harmonic analysis and conclusive remarks -- |t A Available MATHEMATICA NoteBooks written by the author -- |t Bibliography -- |t About the author -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order. First discrete and finite group theory, that includes the entire chemical-physical field of crystallography is developed self consistently, followed by the structural theory of Lie Algebras with a complete exposition of the roots and Dynkin diagrams lore. A primary on Fibre-Bundles, Connections and Gauge fields, Riemannian Geometry and the theory of Homogeneous Spaces G/H is also included and systematically developed. https://petrusfremathandlit.net | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Apr 2024) | |
| 650 | 4 | |a Dynkin-Diagramme. | |
| 650 | 4 | |a Geodäten. | |
| 650 | 4 | |a Homogene Räume. | |
| 650 | 4 | |a Punkt- und Raumgruppen. | |
| 650 | 4 | |a Weyl Gruppe. | |
| 650 | 7 | |a MATHEMATICS / Algebra / General. |2 bisacsh | |
| 653 | |a . | ||
| 653 | |a Dynkin Diagrams. | ||
| 653 | |a Geodesics. | ||
| 653 | |a Homogeneous Spaces. | ||
| 653 | |a Point and Space Groups. | ||
| 653 | |a Weyl Group. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2023 Part 1 |z 9783111175782 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 English |z 9783111319292 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 |z 9783111318912 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Physics, Chemistry, Mat.Sc, Geosc 2023 English |z 9783111319230 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Physics, Chemistry, Mat.Sc, Geosc 2023 |z 9783111318660 |o ZDB-23-DPC |
| 776 | 0 | |c EPUB |z 9783111202778 | |
| 776 | 0 | |c print |z 9783111200750 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783111201535 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783111201535 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783111201535/original |
| 912 | |a 978-3-11-117578-2 DG Plus DeG Package 2023 Part 1 |b 2023 | ||
| 912 | |a 978-3-11-131923-0 EBOOK PACKAGE Physics, Chemistry, Mat.Sc, Geosc 2023 English |b 2023 | ||
| 912 | |a 978-3-11-131929-2 EBOOK PACKAGE COMPLETE 2023 English |b 2023 | ||
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