Irreducible components of exotic Springer fibres
- Submitting institution
-
University of Greenwich
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 21069
- Type
- D - Journal article
- DOI
-
10.1112/jlms.12152
- Title of journal
- Journal of the London Mathematical Society
- Article number
- -
- First page
- 609
- Volume
- 98
- Issue
- 3
- ISSN
- 0024-6107
- Open access status
- Compliant
- Month of publication
- July
- Year of publication
- 2018
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- 10 - Mathematical Sciences
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
2
- Research group(s)
-
-
- Citation count
- 2
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- The novelty of this article is that it hugely simplifies a technical mathematical machinery to describe the geometry of the irreducible components of the so-called “Exotic Springer Fibres”, which are extremely complicated algebraic varieties.
We achieve this result by rigorously constructing a combinatorial map that enumerates the irreducible components and allows for their geometry to be explicitly computed in low dimensions. The article’s significance is that we can now construct new Weyl group algorithms to study the representation theory of Hecke and Temperley–Lieb algebras. Such algorithms would not be possible without first explicitly describing the geometry of these fibres.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
