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Details van artikel 5 van 23 gevonden artikelen
| Titel: |
Caracterisation des derivations interieures de l'algebre de weyl et de l'algebre d'heisenberg quantiques |
| Auteur: |
Yakoub, L'moufadal Ben Malliavin, Marie-Paule |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 24 (1996) nr. 10 pagina's 3131-3148 |
| Jaar: |
1996 |
| Inhoud: |
The inner automorphisms of an arbitrary group G are characterized by the fact that they extend to any group which contains G as subgroup [17] . Generally we show in [7] that an analog of this result for rings is not true . However, if A is a ring embedded in another ring B then any inner derivation (resp. automorphism) if of A extends to a derivation (resp. automorphism) of B. Furthemore, for all ideal I of A, ϕ induce a derivation (resp. automorphism) [image omitted] of the quotient algebra A/I so that [image omitted] . [image omitted] extends to all algebra including AS/I as subalgebra. We wonder whether these properties actually characterize inner derivations (resp. automorphisms) of A. We show that every derivation of the quantized Weyl algebra A1(k,q) is a sum of an inner derivation and a derivation well specified, where the inner derivations and automorphisms are characterized by the preceding properties. Also, we give a complete description of derivations of Heisenberg algebra [image omitted] and a characterization of its inner derivations. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 23 gevonden artikelen
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