Calculation and Properties of Zonal Polynomials
Publication
, Journal Article
Jiu, L; Koutschan, C
Published in: Mathematics in Computer Science
September 1, 2020
We investigate the zonal polynomials, a family of symmetric polynomials that appear in many mathematical contexts, such as multivariate statistics, differential geometry, representation theory, and combinatorics. We present two computer algebra packages, in SageMath and in Mathematica, for their computation. With the help of these software packages, we carry out an experimental mathematics study of some properties of zonal polynomials. Moreover, we derive and prove closed forms for several infinite families of zonal polynomial coefficients.
Duke Scholars
Published In
Mathematics in Computer Science
DOI
EISSN
1661-8289
ISSN
1661-8270
Publication Date
September 1, 2020
Volume
14
Issue
3
Start / End Page
623 / 640
Related Subject Headings
- Computation Theory & Mathematics
- 46 Information and computing sciences
- 08 Information and Computing Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Jiu, L., & Koutschan, C. (2020). Calculation and Properties of Zonal Polynomials. Mathematics in Computer Science, 14(3), 623–640. https://doi.org/10.1007/s11786-020-00458-0
Jiu, L., and C. Koutschan. “Calculation and Properties of Zonal Polynomials.” Mathematics in Computer Science 14, no. 3 (September 1, 2020): 623–40. https://doi.org/10.1007/s11786-020-00458-0.
Jiu L, Koutschan C. Calculation and Properties of Zonal Polynomials. Mathematics in Computer Science. 2020 Sep 1;14(3):623–40.
Jiu, L., and C. Koutschan. “Calculation and Properties of Zonal Polynomials.” Mathematics in Computer Science, vol. 14, no. 3, Sept. 2020, pp. 623–40. Scopus, doi:10.1007/s11786-020-00458-0.
Jiu L, Koutschan C. Calculation and Properties of Zonal Polynomials. Mathematics in Computer Science. 2020 Sep 1;14(3):623–640.
Published In
Mathematics in Computer Science
DOI
EISSN
1661-8289
ISSN
1661-8270
Publication Date
September 1, 2020
Volume
14
Issue
3
Start / End Page
623 / 640
Related Subject Headings
- Computation Theory & Mathematics
- 46 Information and computing sciences
- 08 Information and Computing Sciences
- 01 Mathematical Sciences