Ghent University Academic Bibliography

Advanced

Unimodal polynomials associated with Lie algebras and Lie superalgebras

J.W.B. HUGHES and Joris Van der Jeugt UGent (1991) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 37(1-3). p.81-88
abstract
It is well known that the theory of Lie algebras can be used to prove the unimodality of certain polynomials. Recently, it was shown that Lie superalgebras also give rise to unimodal polynomials. In this paper, we present a unified approach to the question. We do not discuss the technical details of Lie algebras and superalgebras, but give several old and new examples of unimodal polynomials associated with these structures.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
OSP(2, UNIMODAL POLYNOMIALS, REPRESENTATIONS, LIE ALGEBRAS, 1), SL(2)
journal title
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
J. Comp. Appl. Math.
volume
37
issue
1-3
pages
81 - 88
publisher
Elsevier Science
Web of Science type
Article
ISSN
0377-0427
language
English
UGent publication?
yes
classification
A1
id
220936
handle
http://hdl.handle.net/1854/LU-220936
date created
2004-05-24 13:23:00
date last changed
2016-12-19 15:38:51
@article{220936,
  abstract     = {It is well known that the theory of Lie algebras can be used to prove the unimodality of certain polynomials. Recently, it was shown that Lie superalgebras also give rise to unimodal polynomials. In this paper, we present a unified approach to the question. We do not discuss the technical details of Lie algebras and superalgebras, but give several old and new examples of unimodal polynomials associated with these structures.},
  author       = {HUGHES, J.W.B. and Van der Jeugt, Joris},
  issn         = {0377-0427},
  journal      = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
  keyword      = {OSP(2,UNIMODAL POLYNOMIALS,REPRESENTATIONS,LIE ALGEBRAS,1),SL(2)},
  language     = {eng},
  number       = {1-3},
  pages        = {81--88},
  publisher    = {Elsevier Science},
  title        = {Unimodal polynomials associated with Lie algebras and Lie superalgebras},
  volume       = {37},
  year         = {1991},
}

Chicago
HUGHES, J.W.B., and Joris Van der Jeugt. 1991. “Unimodal Polynomials Associated with Lie Algebras and Lie Superalgebras.” Journal of Computational and Applied Mathematics 37 (1-3): 81–88.
APA
HUGHES, J. W. B., & Van der Jeugt, J. (1991). Unimodal polynomials associated with Lie algebras and Lie superalgebras. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 37(1-3), 81–88.
Vancouver
1.
HUGHES JWB, Van der Jeugt J. Unimodal polynomials associated with Lie algebras and Lie superalgebras. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. Elsevier Science; 1991;37(1-3):81–8.
MLA
HUGHES, J.W.B., and Joris Van der Jeugt. “Unimodal Polynomials Associated with Lie Algebras and Lie Superalgebras.” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 37.1-3 (1991): 81–88. Print.