Polynomials Associated with Dihedral Groups
There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of t...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147808 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Polynomials Associated with Dihedral Groups / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862541278559862784 |
|---|---|
| author | Dunkl, C.F. |
| author_facet | Dunkl, C.F. |
| citation_txt | Polynomials Associated with Dihedral Groups / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials. The last section of the paper deals with parameter values for which the formulae have singularities.
|
| first_indexed | 2025-11-24T16:26:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147808 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T16:26:16Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Dunkl, C.F. 2019-02-16T08:35:28Z 2019-02-16T08:35:28Z 2007 Polynomials Associated with Dihedral Groups / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 10 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33C45; 33C80; 20F55 https://nasplib.isofts.kiev.ua/handle/123456789/147808 There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials. The last section of the paper deals with parameter values for which the formulae have singularities. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Polynomials Associated with Dihedral Groups Article published earlier |
| spellingShingle | Polynomials Associated with Dihedral Groups Dunkl, C.F. |
| title | Polynomials Associated with Dihedral Groups |
| title_full | Polynomials Associated with Dihedral Groups |
| title_fullStr | Polynomials Associated with Dihedral Groups |
| title_full_unstemmed | Polynomials Associated with Dihedral Groups |
| title_short | Polynomials Associated with Dihedral Groups |
| title_sort | polynomials associated with dihedral groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147808 |
| work_keys_str_mv | AT dunklcf polynomialsassociatedwithdihedralgroups |