Non-symmetric basic hypergeometric polynomials and representation theory for confluent 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 big...
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/123456789/146185 |
| 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. Mazzoco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146185 |
|---|---|
| record_format |
dspace |
| spelling |
Mazzocco, M. 2019-02-08T10:44:15Z 2019-02-08T10:44:15Z 2014 Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzoco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 7 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D80; 33D52; 16T99 https://nasplib.isofts.kiev.ua/handle/123456789/146185 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-symmetric basic hypergeometric polynomials and representation theory for confluent 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 confluent cherednik algebras |
| spellingShingle |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras Mazzocco, M. |
| title_short |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_full |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_fullStr |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_full_unstemmed |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_sort |
non-symmetric basic hypergeometric polynomials and representation theory for confluent 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146185 |
| citation_txt |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzoco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 7 назв. — англ. |
| work_keys_str_mv |
AT mazzoccom nonsymmetricbasichypergeometricpolynomialsandrepresentationtheoryforconfluentcherednikalgebras |
| first_indexed |
2025-12-07T21:15:50Z |
| last_indexed |
2025-12-07T21:15:50Z |
| _version_ |
1850885695454838784 |