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Combinatorics of minuscule representations /
"Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights m...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
|
| Colección: | Cambridge tracts in mathematics ;
199. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Green, R. M., |d 1971- |1 https://id.oclc.org/worldcat/entity/E39PCjt8QQJRCWx3wdvdCbqwvd | |
| 245 | 1 | 0 | |a Combinatorics of minuscule representations / |c R.M. Green. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2013. | ||
| 300 | |a 1 online resource (vii, 320 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a Cambridge tracts in mathematics ; |v 199 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Introduction -- 1. Classical Lie algebras and Weyl groups -- 2. Heaps over graphs -- 3. Weyl group actions -- 4 Lie theory -- 5. Minuscule representations -- 6. Full heaps over affine Dynkin diagrams -- 7. Chevalley bases -- 8. Combinatorics of Weyl groups -- 9. The 28 bitangents -- 10. Exceptional structures -- 11. Further topics -- Appendix A: Posets, graphs and categories -- Appendix B: Lie theoretic data. | |
| 520 | |a "Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights may be regarded as points in Euclidean space, and there is a finite group (called a Weyl group) that acts on the set of weights by linear transformations. The minuscule representations are those for which the Weyl group acts transitively on the weights, and the highest weight of such a representation is called a minuscule weight"-- |c Provided by publisher | ||
| 520 | |a Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Representations of Lie algebras. | |
| 650 | 0 | |a Combinatorial analysis. | |
| 650 | 6 | |a Représentations des algèbres de Lie. | |
| 650 | 6 | |a Analyse combinatoire. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x General. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Análisis combinatorio |2 embne | |
| 650 | 0 | 7 | |a Lie, Áglebras de |2 embucm |
| 650 | 7 | |a Combinatorial analysis |2 fast | |
| 650 | 7 | |a Representations of Lie algebras |2 fast | |
| 758 | |i has work: |a Combinatorics of minuscule representations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH7C4wr8cFY9KQPMC9Jfmb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Green, R.M., 1971- |t Combinatorics of minuscule representations. |d Cambridge : Cambridge University Press, 2013 |z 9781107026247 |w (DLC) 2012042963 |w (OCoLC)815364932 |
| 776 | 0 | 8 | |i Print version: |a Green, R.M. |t Combinatorics of Minuscule Representations. |d Cambridge : Cambridge University Press, ©2013 |z 9781107026247 |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 199. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1113083 |z Texto completo |
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