Frobenius Categories versus Brauer Blocks : the Grothendieck group of the Frobenius category of a Brauer block
This book contributes to important questions in the representation theory of finite groups over fields of positive characteristic an area of research initiated by Richard Brauer sixty years ago with the introduction of the blocks of characters. On the one hand, it introduces and develops the abstrac...
Gorde:
| Egile nagusia: | |
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2009. |
| Saila: | Progress in Mathematics
274 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
L'impression du document génère 480 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Frobenius categories versus Brauer blocks, the Grothendieck group of the Frobenius category of a Brauer block, Lluís Puig, Basel, Birkhäuser, 2009, 1 vol. (498 p.), Progress in mathematics, 978-3-7643-9997-9 • Frobenius Categories versus Brauer Blocks, Texte imprimé, 9783034600156 • Frobenius categories versus Brauer blocks, the Grothendieck group of the Frobenius category of a Brauer block, Lluís Puig, Basel, Birkhäuser, 2009, 1 vol. (498 p.), Progress in mathematics, 978-3-7643-9997-9 |
Aurkibidea:
- General notation and quoted results Frobenius P-categories: the first definition The Frobenius P-category of a block Nilcentralized, selfcentralizing and intersected objects in Frobenius P-categories Alperin fusions in Frobenius P-categories Exterior quotient of a Frobenius P-category over the selfcentralizing objects Nilcentralized and selfcentralizing Brauer pairs in blocks Decompositions for Dade P-algebras Polarizations for Dade P-algebras A gluing theorem for Dade P-algebras The nilcentralized chain k*-functor of a block Quotients and normal subcategories in Frobenius P-categories The hyperfocal subcategory of a Frobenius P-category The Grothendieck groups of a Frobenius P-category Reduction results for Grothendieck groups The local-global question: reduction to the simple groups Localities associated with a Frobenius P-category The localizers in a Frobenius P-category Solvability for Frobenius P-categories A perfect F-locality from a perfect Fsc -locality Frobenius P-categories: the second definition The basic F-locality Narrowing the basic Fsc-locality Looking for a perfect Fsc-locality