Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras
In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual q-Hahn, Al-Salam{Chihara, continuous b...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2014 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2014
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146401 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzocco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146401 |
|---|---|
| record_format |
dspace |
| spelling |
Mazzocco, M. 2019-02-09T11:02:55Z 2019-02-09T11:02:55Z 2014 Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzocco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — англ. 2010 Mathematics Subject Classification: 33D80; 33D52; 16T99 https://nasplib.isofts.kiev.ua/handle/123456789/146401 In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual q-Hahn, Al-Salam{Chihara, continuous big q-Hermite and continuous q-Hermite polynomials. The author is specially grateful to T. Koornwinder and J. Stokman for interesting discussions on this subject and the referees for pointing out references, typos and giving suggestions on how to improve the presentation of the main results en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| spellingShingle |
Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras Mazzocco, M. |
| title_short |
Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_full |
Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_fullStr |
Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_full_unstemmed |
Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_sort |
non-symmetric basic hypergeometric polynomials and representation theory for conf luent cherednik algebras |
| author |
Mazzocco, M. |
| author_facet |
Mazzocco, M. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
In this paper we introduce a basic representation for the confluent Cherednik
algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this
basic representation, we introduce the non-symmetric versions of the continuous dual q-Hahn, Al-Salam{Chihara, continuous big q-Hermite and continuous q-Hermite polynomials.
|
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146401 |
| citation_txt |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzocco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — англ. |
| work_keys_str_mv |
AT mazzoccom nonsymmetricbasichypergeometricpolynomialsandrepresentationtheoryforconfluentcherednikalgebras |
| first_indexed |
2025-12-07T15:20:47Z |
| last_indexed |
2025-12-07T15:20:47Z |
| _version_ |
1850863357932863488 |