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DERIVATIONS OF A WEYL TYPE NON-ASSOCIATIVE ALGEBRA ON A LAURENT EXTENSTION
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 Title & Authors
DERIVATIONS OF A WEYL TYPE NON-ASSOCIATIVE ALGEBRA ON A LAURENT EXTENSTION
Choi, Seul-Hee;
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 Abstract
A Weyl type algebra is defined in the book ([4]). A Weyl type non-associative algebra $\
 Keywords
simple;non-associative algebra;Kronecker delta;left identity;annihilator;idempotent;Semi-Lie algebra;
 Language
English
 Cited by
 References
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H. M. Ahmadi, K.-B. Nam, and J. Pakianathan, Lie admissible non-associative algebras, Algebra Colloq. 12 (2005), no. 1, 113-120 crossref(new window)

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R. Block, On torsion-free abelian groups and Lie algebras, Proc. Amer. Math. Soc. 9 (1958), 613-620

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S. H. Choi and K-B. Nam, Derivations of a restricted Weyl type algebra I, Rocky Mountain J. Math., Accepted, 2005

4.
J. Diximier, Enveloping Algebras, AMS, 1996

5.
J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York, 1978

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T. Ikeda, N. Kawamoto, and K. Nam, A class of simple subalgebras of generalized Witt algebras, Groups-Korea '98 (Pusan), de Gruyter, Berlin, 2000, 189-202

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V. G. Kac, Description of filtered Lie algebra with which graded Lie algebras of Cartan type are associated, Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 800-834

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A. I. Kostrikin and I. R. Safarevic, Graded Lie algebras of finite characteristic, Math. USSR Izv. 3 (1970), no. 2, 237-240 crossref(new window)

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K.-S. Lee and K.-B. Nam, Some W-type algebras I, J. Appl. Algebra Discrete Struct. 2 (2004), no. 1, 39-46

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K.-B. Nam, Generalized W and H type Lie algebras, Algebra Colloq. 6 (1999), no. 3, 329-340

11.
K.-B. Nam and S. H. Choi, Automorphism group of non-associative algebras $\ba{WN_{2,0,0_1}}$, J. Comput. Math. Optim. 1 (2005), no. 1, 35-44

12.
K.-B. Nam, S. H. Choi, M.-O. Wang, Weyl-type non-associative algebras III, J. Appl. Algebra Discrete Struct. 3 (2005), no. 2, 91-100