Symplectic shifted tableaux and deformations of Weyl's denominator formula for sp(2n)
Hamel, A.M. and King, R.C. (2002) Symplectic shifted tableaux and deformations of Weyl's denominator formula for sp(2n). Journal of Algebraic Combinatorics, 16, (3), 269-300. (doi:10.1023/A:1021804505786)
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Official URL: http://dx.doi.org/10.1023/A:1021804505786
Description/Abstract
A determinantal expansion due to Okada is used to derive both a deformation of Weyl's denominator formula for the Lie algebra sp(2n) of the symplectic group and a further generalisation involving a product of the deformed denominator with a deformation of flagged characters of sp(2n). In each case the relevant expansion is expressed in terms of certain shifted sp(2n)-standard tableaux. It is then re-expressed, first in terms of monotone patterns and then in terms of alternating sign matrices.
| Item Type: | Article |
|---|---|
| ISSN: | 0925-9899 (print) |
| Uncontrolled Keywords: | alternating sign matrices, symplectic shifted tableau, monotone triangle, Weyl's denominator formula |
| Related URLs: | http://dx.doi.org/10.1023/A:10...1804505786 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| ePrint ID: | 29529 |
| Deposited On: | 11 May 2006 |
| Last Modified: | 01 Jun 2011 17:31 |
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