Frobenius Categories versus Brauer Blocks (Record no. 426282)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04933nam a22004815i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783764399986 |
| -- | 978-3-7643-9998-6 |
| 024 7# - | |
| -- | 10.1007/978-3-7643-9998-6 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA174-183 |
| 072 #7 - | |
| -- | PBG |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT002010 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBG |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.2 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Puig, Lluís. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Frobenius Categories versus Brauer Blocks |
| Medium | [electronic resource] : |
| Remainder of title | The Grothendieck Group of the Frobenius Category of a Brauer Block / |
| Statement of responsibility, etc | by Lluís Puig. |
| 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 | Basel : |
| Name of producer, publisher, distributor, manufacturer | Birkhäuser Basel, |
| Date of production, publication, distribution, manufacture | 2009. |
| 300 ## - | |
| -- | V, 498 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 |
| 490 1# - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 274 |
| 505 0# - | |
| -- | 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. |
| 520 ## - | |
| -- | 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 abstract setting of the Frobenius categories — also called the Saturated fusion systems in the literature — created by the author fifteen years ago for a better understanding of what was loosely called the local theory of a finite group around a prime number p or, later, around a Brauer block, and for the purpose of an eventual classification — a reasonable concept of simple Frobenius category arises. On the other hand, the book develops this abstract setting in parallel with its application to the Brauer blocks, giving the detailed translation of any abstract concept in the particular context of the blocks. One of the new features in this direction is a framework for a deeper understanding of one of the central open problems in modular representation theory, known as Alperin’s Weight Conjecture (AWC). Actually, this new framework suggests a more general form of AWC, and a significant result of the book is a reduction theorem of this form of AWC to quasi-simple groups. Although this book is a research monograph, all the arguments are widely developed to make it accessible to the interested graduate students and, at the same time, to put them on the verge of the research on this new subject: the third part of the book on the localities associated to a Frobenius category gives some insight on the open question about the existence and the uniquenes of a perfect locality — also called centric linking system in the literature. We have developed a long introduction to explain our purpose and to provide a guideline for the reader throughout the twenty four sections. A systematic appendix on the cohomology of categories completes the book. |
| 650 #0 - | |
| -- | Group theory. |
| 650 #0 - | |
| -- | Algebraic topology. |
| 650 14 - | |
| -- | Group Theory and Generalizations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 650 24 - | |
| -- | Algebraic Topology. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28019 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783034600156 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764399979 |
| 830 #0 - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 274 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-7643-9998-6 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
No items available.
