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Extended affine Lie algebras and their root systems /
This work is about extended affine Lie algebras (EALA's) and their root systems. EALA's were introduced by Høegh-Krohn and Torresani under the name irreducible quasi-simple Lie algebras. The major objective is to develop enough theory to provide a firm foundation for further study of EALA&...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©1997.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 603. Memoirs of the American Mathematical Society ; no. 603. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Extended affine Lie algebras and their root systems / |c Bruce N. Allison, Saeid Azam, Stephen Berman, Yun Gao, Arturo Pianzola. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©1997. | ||
| 300 | |a 1 online resource (viii, 122 pages) : |b illustrations, tables | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 603 | |
| 500 | |a "March 1997, volume 126, number 603 (fourth of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 120-122). | ||
| 505 | 0 | 0 | |t Introduction -- |t The basic structure theory of extended affine Lie algebras ; |t Basics -- |t The Kac conjecture -- |t Semilattices and extended affine root systems ; |t Semilattices -- |t The structure of extended affine root systems -- |t Isomorphism conditions for EARS -- |t The classification of EARS -- |t Examples of extended affine Lie algebras ; |t A general construction of EALA's -- |t Examples of EALA's of simply laced type -- |t Examples of EALA's of type [italic capital]B[subscript ℓ], ℓ [greater than or equal to symbol] 2, and type [italic capitals]BC[subscript ℓ] ℓ [greater than or equal to symbol] 1 -- |t Examples of EALA's of type [italic capital]C[subscript ℓ] ℓ [greater than or equal to symbol] 2 -- |t Examples of EALA's of type [italic capital]G₂ and [italic capital]F₄ -- |g Appendix |t Axiomatic theory of roots ; |t Sets of real roots -- |t Sets of roots. |
| 520 | |a This work is about extended affine Lie algebras (EALA's) and their root systems. EALA's were introduced by Høegh-Krohn and Torresani under the name irreducible quasi-simple Lie algebras. The major objective is to develop enough theory to provide a firm foundation for further study of EALA's. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Infinite dimensional Lie algebras. | |
| 650 | 0 | |a Kac-Moody algebras. | |
| 650 | 0 | |a Root systems (Algebra) | |
| 650 | 6 | |a Algèbres de Lie de dimension infinie. | |
| 650 | 6 | |a Algèbres de Kac-Moody. | |
| 650 | 6 | |a Systèmes de racines (Algèbre) | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Infinite dimensional Lie algebras |2 fast | |
| 650 | 7 | |a Kac-Moody algebras |2 fast | |
| 650 | 7 | |a Root systems (Algebra) |2 fast | |
| 700 | 1 | |a Allison, Bruce N. |q (Bruce Normansell), |d 1945- |1 https://id.oclc.org/worldcat/entity/E39PCjxb48wKbJpHgKtKD8kr4m | |
| 700 | 1 | |a Azam, Saeid., |e author. | |
| 700 | 1 | |a Berman, Stephen, |d 1944- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjqv4wJDpHh4Y8cPpRFRDm | |
| 700 | 1 | |a Gao, Yun, |d 1963- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjDqJBPv6H7XrrFK4H7Jpd | |
| 700 | 1 | |a Pianzola, Arturo, |d 1955- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJxcTWVTYXX4WFpfwhYXVC | |
| 776 | 0 | 8 | |i Print version: |a Allison, Bruce N. (Bruce Normansell), 1945- |t Extended affine Lie algebras and their root systems / |x 0065-9266 |z 9780821805947 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 603. | |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 603. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114579 |z Texto completo |
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