Linear Algebraic Monoids
The object of this monograph is to document what is most interesting about linear monoids. We show how these results ?t together into a coherent blend of semigroup theory, groups with BN-pair, representation theory, convex - ometry and algebraicgrouptheory.The intended reader is one who is familiar...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2005. |
| Sarja: | Encyclopaedia of Mathematical Sciences
134 |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear algebraic monoids, Lex E. Renner, 2005, Berlin, Springer, 1 vol. (XII-246 p.), Encyclopaedia of mathematical sciences, 3-540-24241-4 • Linear Algebraic Monoids, Texte imprimé, 9783642063497 • Linear Algebraic Monoids, Texte imprimé, 9783540806585 • Linear algebraic monoids, Lex E. Renner, 2005, Berlin, Springer, 1 vol. (XII-246 p.), Encyclopaedia of mathematical sciences, 3-540-24241-4 |
| LEADER | 04140nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | 948306 | ||
| 008 | 080409q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123090911 | ||
| 020 | |a 9783540275565 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 100 | 1 | |a Renner, Lex Ellery, |d 1952- | |
| 245 | 1 | 0 | |a Linear Algebraic Monoids |c by Lex E. Renner. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Encyclopaedia of Mathematical Sciences |v 134 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Background Algebraic Monoids Regularity Conditions Classification of Reductive Monoids Universal Constructions Orbit Structure of Reductive Monoids The Analogue of the Bruhat Decomposition Representations and Blocks of Algebraic Monoids Monoids of Lie Type Cellular Decomposition of Algebraic Monoids Conjugacy Classes The Centralizer of a Semisimple Element Combinatorics Related to Algebraic Monoids Survey of Related Developments | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The object of this monograph is to document what is most interesting about linear monoids. We show how these results ?t together into a coherent blend of semigroup theory, groups with BN-pair, representation theory, convex - ometry and algebraicgrouptheory.The intended reader is one who is familiar with some of these topics, and is willing to learn about the others. The intention of the author is to convince the reader that reductive monoids are among the darlings of algebra. We do this by systematically assembling many of the major known results with many proofs,examples and explanations. To further entice the reader, we have included many exercises. The theory of linear algebraic monoids is quite recent, originating around 1980. Both Mohan Putcha and the author began the systematic study in- pendently. But this development would not have been possible without the pioneering work of Chevalley, Borel and Tits on algebraic groups. Also, there is the related, but more general theory of spherical embeddings, developed largely by Brion, Luna and Vust. These theories were developed somewhat independently, but it is always a good idea to interpret monoid results in the combinatorial apparatus of spherical embeddings. Each chapter of this monograph is focussed on one or more of the major themes of the subject. These are: classi?cation, orbits, geometry, represen- tions, universal constructions and combinatorics. There is an inherent div- sity and richness in the subject that usually rewards a stalwart investigation | ||
| 776 | 0 | |0 085683876 |t Linear algebraic monoids |f Lex E. Renner |d 2005 |c Berlin |n Springer |p 1 vol. (XII-246 p.) |s Encyclopaedia of mathematical sciences |z 3-540-24241-4 | |
| 776 | 0 | |t Linear Algebraic Monoids |b Texte imprimé |z 9783642063497 | |
| 776 | 0 | |t Linear Algebraic Monoids |b Texte imprimé |z 9783540806585 | |
| 776 | 0 | |0 085683876 |t Linear algebraic monoids |f Lex E. Renner |d 2005 |c Berlin |n Springer |p 1 vol. (XII-246 p.) |s Encyclopaedia of mathematical sciences |z 3-540-24241-4 | |
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