Français
Weighted Schur algebras or «Diagrammatic Cherednik algebras» over fields of arbitrary characteristic
Multi angle
Authors : Bowman, Christopher David (Author of the conference)
CIRM (Publisher )
20B30 - Symmetric groups
20F55 - Coxeter groups
20G43 - Schur and $q$-Schur algebras
CIRM (Publisher )
Loading the player...
|
Abstract :
We begin by introducing to the diagrammatic Cherednik algebras of Webster. We then summarise some recent results (in joint work with Anton Cox and Liron Speyer) concerning the representation theory of these algebras. In particular we generalise Kleshchev-type decomposition numbers, James-Donkin row and column removal phenomena, and the Kazhdan-Lusztig approach to calculating decomposition numbers.
MSC Codes : 20B30 - Symmetric groups
20F55 - Coxeter groups
20G43 - Schur and $q$-Schur algebras
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/09/2016 Conference Date : 01/09/2016 Subseries : Research talks arXiv category : Group Theory Mathematical Area(s) : Algebra Format : MP4 (.mp4) - HD Video Time : 00:51:53 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-09-01_Bowman.mp4 
|
Information on the Event
Event Title : Algebraic Combinatorics in Representation Theory / Combinatoire algébrique en théorie des représentations Event Organizers : Beck, Vincent ; Hernandez, David ; Jacon, Nicolas ; Littelmann, Peter Dates : 29/08/16 - 02/09/2016 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1490.html
Citation Data
DOI : 10.24350/CIRM.V.19041503Cite this video as: Bowman, Christopher David (2016). Weighted Schur algebras or «Diagrammatic Cherednik algebras» over fields of arbitrary characteristic. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19041503 URI : http://dx.doi.org/10.24350/CIRM.V.19041503 |
See Also
- [Post-edited] Parking spaces and Catalan combinatorics for complex reflection groups / Author of the conference Lanini, Martina.
- [Multi angle] Studying affine Deligne Lusztig varieties via folded galleries in buildings / Author of the conference Schwer, Petra.
- [Multi angle] Quiver Grassmannians of Dynkin type / Author of the conference Cerulli-Irelli, Giovanni.
Bibliography
- C. Bowman; L. Speyer, Kleshchev's decomposition numbers of diagrammatic Cherednik al- gebras, accepted and to appear in Transactions of the American Mathematical Society. - http://arxiv.org/abs/1507.06631
- C. Bowman; L. Speyer, An analogue of row removal for diagrammatic Cherednik algebras. - http://arxiv.org/abs/1601.05543
- C. Bowman; A. G. Cox; L. Speyer, A family of graded decomposition numbers for di- agrammatic Cherednik algebras, International Mathematics Research Notices IMRN 2016. - http://doi.org/10.1093/imrn/rnw101
- Ben Webster, Rouquier's conjecture and diagrammatic algebra. - http://arxiv.org/abs/1306.0074
