Root vectors of the composition algebra of the Kronecker algebra
According to the canonical isomorphism between
 the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group
 Uq(g) and the generic composition algebra C(∆) of Λ, where the
 Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have the same diagram, in s...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2004 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155948 |
| 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: | Root vectors of the composition algebra of the Kronecker algebra / X. Chen // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 37–56. — Бібліогр.: 24 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862714018911748096 |
|---|---|
| author | Chen, X. |
| author_facet | Chen, X. |
| citation_txt | Root vectors of the composition algebra of the Kronecker algebra / X. Chen // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 37–56. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | According to the canonical isomorphism between
the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group
Uq(g) and the generic composition algebra C(∆) of Λ, where the
Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have the same diagram, in specially, we get a realization
of quantum root vectors of the generic composition algebra of the
Kronecker algebra by using the Ringel–Hall approach. The commutation relations among all root vectors are given and an integral
PBW–basis of this algebra is also obtained.
|
| first_indexed | 2025-12-07T17:48:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155948 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:48:25Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chen, X. 2019-06-17T15:46:33Z 2019-06-17T15:46:33Z 2004 Root vectors of the composition algebra of the Kronecker algebra / X. Chen // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 37–56. — Бібліогр.: 24 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16G10, 17B37, 16G20, 81R50. https://nasplib.isofts.kiev.ua/handle/123456789/155948 According to the canonical isomorphism between
 the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group
 Uq(g) and the generic composition algebra C(∆) of Λ, where the
 Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have the same diagram, in specially, we get a realization
 of quantum root vectors of the generic composition algebra of the
 Kronecker algebra by using the Ringel–Hall approach. The commutation relations among all root vectors are given and an integral
 PBW–basis of this algebra is also obtained. I would like to thank Professor V. Dlab and Professor E. Neher for their
 help and support. I am grateful to Professor C. M. Ringel and Professor
 J. Xiao for their helpful suggestions. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Root vectors of the composition algebra of the Kronecker algebra Article published earlier |
| spellingShingle | Root vectors of the composition algebra of the Kronecker algebra Chen, X. |
| title | Root vectors of the composition algebra of the Kronecker algebra |
| title_full | Root vectors of the composition algebra of the Kronecker algebra |
| title_fullStr | Root vectors of the composition algebra of the Kronecker algebra |
| title_full_unstemmed | Root vectors of the composition algebra of the Kronecker algebra |
| title_short | Root vectors of the composition algebra of the Kronecker algebra |
| title_sort | root vectors of the composition algebra of the kronecker algebra |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155948 |
| work_keys_str_mv | AT chenx rootvectorsofthecompositionalgebraofthekroneckeralgebra |