Derivations of a restricted Weyl type algebra. I. (English) Zbl 1134.17002
In a series of papers the authors consider nonassociative analogs \(\overline{WN_{0,0,s_1}}\) of Weyl algebras. It is shown that the Lie algebra of derivations of \(\overline{WN_{0,0,s_1}}\) has dimension \(s^2+s\).
Reviewer: Vyacheslav A. Artamonov (Moskva)
MSC:
| 17A36 | Automorphisms, derivations, other operators (nonassociative rings and algebras) |
| 17B40 | Automorphisms, derivations, other operators for Lie algebras and super algebras |
References:
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| [2] | Seul Hee Choi and Ki-Bong Nam, The derivation of a restricted Weyl type non-associative algebra , Hadronic J. 28 (2005), Hadronic Press, 287-295. · Zbl 1152.17304 |
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| [10] | Ki-Bong Nam, Generalized \(W\) and \(H\) type Lie algebras , Algebra Colloquium 6 (1999), 329-340. · Zbl 0949.17007 |
| [11] | Ki-Bong Nam and Seul Hee Choi, Automorphism group of non-associative algebras \(\overlineWN_2,0,0_1\) , J. Comp. Math. Optim. 1 (2005), 35-44. · Zbl 1092.17011 |
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