Representations of Lie Algebras and Partial Differential Equations (Record no. 427365)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04051nam a22005055i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9789811063916 |
| -- | 978-981-10-6391-6 |
| 024 7# - | |
| -- | 10.1007/978-981-10-6391-6 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA150-272 |
| 072 #7 - | |
| -- | PBF |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT002000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Xu, Xiaoping. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Representations of Lie Algebras and Partial Differential Equations |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Xiaoping Xu. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Singapore : |
| Name of producer, publisher, distributor, manufacturer | Springer Singapore : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2017. |
| 300 ## - | |
| -- | XXXVI, 620 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 505 0# - | |
| -- | Preface.- Introduction.- I Fundament of Lie Algebras.- Preliminary of Lie Algebras.- Semisimple Lie Algebras.- Root Systems.- Isomorphisms, Conjugacy and Exceptional Types.- Highest-Weight Representation Theory.- II Explicit Representations.- Representations of Special Linear Algebras.- Representations of Even Orthogonal Lie Algebras -- Representations of Odd Orthogonal Lie Algebras -- Representations of Symplectic Lie Algebras -- Representations of G 2 and F 4 -- Representations of E6 -- Representations of E -- III Related Topics -- Oscillator Representations of gl(n | m) and osp(n | 2m) -- Representation Theoretic Codes -- Path Hypergeometric Functions -- Bibliography -- Index. . |
| 520 ## - | |
| -- | This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students. Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, and highlights new functors from the representation category of a simple Lie algebra to that of another simple Lie algebra. Partial differential equations play a key role in solving certain representation problems. The weight matrices of the minimal and adjoint representations over the simple Lie algebras of types E and F are proved to generate ternary orthogonal linear codes with large minimal distances. New multi-variable hypergeometric functions related to the root systems of simple Lie algebras are introduced in connection with quantum many-body systems in one dimension. In addition, the book identifies certain equivalent combinatorial properties on representation formulas, and the irreducibility of representations is proved directly related to algebraic varieties. The book offers a valuable reference guide for mathematicians and scientists alike. As it is largely self-contained – readers need only a minimal background in calculus and linear algebra – it can also be used as a textbook. |
| 650 #0 - | |
| -- | Algebra. |
| 650 #0 - | |
| -- | Differential equations, partial. |
| 650 #0 - | |
| -- | Functions, special. |
| 650 #0 - | |
| -- | Algorithms. |
| 650 14 - | |
| -- | Algebra. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11000 |
| 650 24 - | |
| -- | Partial Differential Equations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12155 |
| 650 24 - | |
| -- | Special Functions. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M1221X |
| 650 24 - | |
| -- | Algorithms. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M14018 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811063909 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811063923 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-981-10-6391-6 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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