The Library
Universal characters from the MacDonald identities
Tools
UNSPECIFIED (2006) Universal characters from the MacDonald identities. ADVANCES IN MATHEMATICS, 202 (1). pp. 50-63. doi:10.1016/j.aim.2005.03.013 ISSN 0001-8708.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1016/j.aim.2005.03.013
Abstract
The main result of [Kostant, Invent. Math. 158 (1) (2004) 181-226, arXiv: math. GR/0309232] shows that a sequence of complexes associated with the MacDonald identities gives a sequence of universal characters which extends and generalises some representations of the exceptional series given in [Deligne, C. R. Acad. Sci. Paris Ser Math. 322(4) (1996) 321-326]. This proves the conjectures in [Macfarlane, Pfeiffer, J. Phys. A 36 (2003) 230 5-2317. arxiv.math-ph/0208014].
In this paper, we use a twisted version of this definition to define a sequence of complexes for the first row of the Freudenthal magic square.
We also calculate the dimensions of these characters for the special linear groups and for the symplectic groups. This gives two new explicit expressions for the D'Arcais polynomials. (C) 2005 Elsevier Inc. All rights reserved.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | ADVANCES IN MATHEMATICS | ||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||
ISSN: | 0001-8708 | ||||
Official Date: | 1 May 2006 | ||||
Dates: |
|
||||
Volume: | 202 | ||||
Number: | 1 | ||||
Number of Pages: | 14 | ||||
Page Range: | pp. 50-63 | ||||
DOI: | 10.1016/j.aim.2005.03.013 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |