Weighted Schur algebras or «Diagrammatic Cherednik algebras» over fields of arbitrary characteristic | Vidéo | Carmin.tv

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Weighted Schur algebras or «Diagrammatic Cherednik algebras» over fields of arbitrary characteristic

By Christopher David Bowman

Appears in collection : Algebraic Combinatorics in Representation Theory / Combinatoire algébrique en théorie des représentations

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.

Information about the video

Date of recording 01/09/2016
Date of publication 13/09/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19041503
Cite this video Bowman, Christopher David (01/09/2016). Weighted Schur algebras or «Diagrammatic Cherednik algebras» over fields of arbitrary characteristic. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19041503
URL https://dx.doi.org/10.24350/CIRM.V.19041503

Domain(s)

Group Theory

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

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