Symmetrical invariants of some modular Lie algebras of Cartan type
| dc.creator | Bedratyuk, Leonid | |
| dc.date | 2007-04-24 | |
| dc.date.accessioned | 2026-07-07T13:00:56Z | |
| dc.date.available | 2026-07-07T13:00:56Z | |
| dc.description | Let $L$ be one of the finite dimensional Lie algebras $W_n({\bf m}),$ $S_n({\bf m}),$ $ H_n({\bf m})$ of Cartan type over an algebraically closed field of prime characteristic $p>0.$ For an elements $F$ of the symmetrical algebra $S(L)$ we found necessary and sufficient condition in order to the element $ad(\partial_1)^{p^{m_1}-1} ad(\partial_2)^{p^{m_2}-1}... ad(\partial_n)^{p^{m_n}-1}(F)$ belongs to the symmetrical invariants algebra $S(L)^L.$ Also, for $p=3,5$ the algebra of symmetrical invariants $S(H_2)^{H_2}$ is calculated in explicit way. | |
| dc.description | 7 pages in Ukrainian | |
| dc.identifier | https://arxiv.org/abs/0704.3254 | |
| dc.identifier | http://arxiv.org/abs/0704.3254 | |
| dc.identifier | Mat. Stud. 30, No. 1, 3-8 (2008). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226001 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 17B50;17B20 | |
| dc.title | Symmetrical invariants of some modular Lie algebras of Cartan type | |
| dc.type | text |