Orthogonal Polynomials of Compact Simple Lie Groups
Joint Authors
Patera, Jiří
Nesterenko, Maryna
Tereszkiewicz, Agnieszka
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-28
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Its result recognizes Chebyshev polynomials of the first and second kind as the special case of the simple group of type A1.
The obtained not Laurent-type polynomials are equivalent to the partial cases of the Macdonald symmetric polynomials.
Recurrence relations are shown for the Lie groups of types A1, A2, A3, C2, C3, G2, and B3 together with lowest polynomials.
American Psychological Association (APA)
Nesterenko, Maryna& Patera, Jiří& Tereszkiewicz, Agnieszka. 2011. Orthogonal Polynomials of Compact Simple Lie Groups. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-512276
Modern Language Association (MLA)
Nesterenko, Maryna…[et al.]. Orthogonal Polynomials of Compact Simple Lie Groups. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-512276
American Medical Association (AMA)
Nesterenko, Maryna& Patera, Jiří& Tereszkiewicz, Agnieszka. Orthogonal Polynomials of Compact Simple Lie Groups. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-512276
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512276