A family of graded decomposition numbers for diagrammatic cherednik algebras

Anton Cox; Liron Speyer; Chris Bowman-Scargill

doi:10.1093/imrn/rnw101

A family of graded decomposition numbers for diagrammatic cherednik algebras

Anton Cox^*, Liron Speyer, Chris Bowman-Scargill

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide an algorithmic description of a family of graded decomposition numbers for diagrammatic Cherednik algebras in terms of affine Kazhdan-Lusztig polynomials.

Original language	English
Pages (from-to)	2686-2734
Number of pages	49
Journal	International Mathematics Research Notices
Volume	2017
Issue number	9
Early online date	14 Jun 2016
DOIs	https://doi.org/10.1093/imrn/rnw101
Publication status	Published - May 2017

Bibliographical note

Funding Information:
This work was supported by the Royal Commission for the Exhibition of 1851 to C.B., Engineering and Physical Sciences Research Council (grant EP/L01078X/1) to A.C., and Queen Mary University of London to L.S. respectively.

Publisher Copyright:
© The Author(s) 2016. Published by Oxford University Press.

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10.1093/imrn/rnw101

https://kar.kent.ac.uk/70430/

Cite this

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title = "A family of graded decomposition numbers for diagrammatic cherednik algebras",

abstract = "We provide an algorithmic description of a family of graded decomposition numbers for diagrammatic Cherednik algebras in terms of affine Kazhdan-Lusztig polynomials.",

author = "Anton Cox and Liron Speyer and Chris Bowman-Scargill",

note = "Funding Information: This work was supported by the Royal Commission for the Exhibition of 1851 to C.B., Engineering and Physical Sciences Research Council (grant EP/L01078X/1) to A.C., and Queen Mary University of London to L.S. respectively. Publisher Copyright: {\textcopyright} The Author(s) 2016. Published by Oxford University Press. ",

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AU - Speyer, Liron

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AB - We provide an algorithmic description of a family of graded decomposition numbers for diagrammatic Cherednik algebras in terms of affine Kazhdan-Lusztig polynomials.

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A family of graded decomposition numbers for diagrammatic cherednik algebras

Abstract

Bibliographical note

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