Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
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| Titolo: |
Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| ©2011 | |
| Descrizione fisica: | 1 online resource (87 p.) |
| Disciplina: | 512/.482 |
| Soggetto topico: | Categories (Mathematics) |
| Quantum groups | |
| Symmetric functions | |
| Finite fields (Algebra) | |
| Persona (resp. second.): | KhovanovMikhail |
| Note generali: | "September 2012, Volume 219, Number 1029 (second of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center"" |
| ""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra ""; ""3.2. The 2-category ""; ""3.3. Box notation for ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of â?°^{( )}â?°^{( )}1_{ }"" | |
| ""5.2. Decomposition of â?°^{( )}â?±^{( )}1_{ }""""5.3. Indecomposables over â??""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography"" | |
| Titolo autorizzato: | Extended graphical calculus for categorified quantum sl(2) |
| ISBN: | 0-8218-9110-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788618903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 219, Number 1029.