Representations of the Complex Classical Cayley-Klein Categories
| dc.creator | Moskaliuk, S. S. | |
| dc.date | 2006-10-28 | |
| dc.date.accessioned | 2026-07-07T07:29:33Z | |
| dc.date.available | 2026-07-07T07:29:33Z | |
| dc.description | Complex classical Cayley-Klein categories ${\bf A({\bj})}$, ${\bf B({\bj})}$, ${\bf C({\bj})}$ and ${\bf D({\bj})}$ are constructed by the method of categorical extension of the complex classical Cayley-Klein groups $SL(2n;{\bj};{\Bbb C}), SO(2n+1;{\bj};{\Bbb C}), Sp(2n;{\bj};{\Bbb C})$ and $SO(2n;{\bj};{\Bbb C})$, respectively. The explicit construction of the irreducible representations of the complex classical Cayley-Klein categories is received. Completeness of lists of the irreducible representations of the complex classical Cayley-Klein categories and the classification theorems are proved. | |
| dc.description | 58 pages, LaTex, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0610877 | |
| dc.identifier | http://arxiv.org/abs/math/0610877 | |
| dc.identifier | Hadronic Journal Supplement, Vol. 18 No. 1, pp. 25-82(2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118156 | |
| dc.subject | General Mathematics | |
| dc.subject | 20J15 | |
| dc.title | Representations of the Complex Classical Cayley-Klein Categories | |
| dc.type | text |