Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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NOTES ON ${\overline{WN_{n,0,0_{[2]}}}$ I

  • CHOI, SEUL HEE (Dept. of Mathematics Jeonju University)
  • Received : 2005.10.10
  • Accepted : 2005.11.03
  • Published : 2005.12.25
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Abstract

The Weyl-type non-associative algebra ${\overline{WN_{g_n,m,s_r}}$ and its subalgebra ${\overline{WN_{n,m,s_r}}$ are defined and studied in the papers [8], [9], [10], [12]. We will prove that the Weyl-type non-associative algebra ${\overline{WN_{n,0,0_{[2]}}}$ and its corresponding semi-Lie algebra are simple. We find the non-associative algebra automorphism group $Aut_{non}({\overline{WN_{1,0,0_{[2]}}})$.

Keywords

Acknowledgement

Supported by : Jeonju University

References

  1. Algebra Colloquium v.12 no.1 Lie admissible non-associative algebras Ahmadi, Mohammad H.;Nam, Ki-Bong;Pakinathan, Jonathan
  2. Hadronic Journal v.28 no.3 The Derivation of a Restricted Weyl Type Non-Associative Algebra Choi, Seul-Hee;Nam, Ki-Bong
  3. Rocky Mountain Math. Journal Derivations of a restricted Weyl Type Algebra I Choi, Seul-Hee;Nam, Ki-Bong
  4. Proceedings of the International Conference in 1998 at Pusan A class of simple subalgebras of Generalized W algebras Ikeda, T.;Kawamoto, N.;Nam, Ki-Bong;Kim, A.C.(ed.)
  5. Izv. Akad. Nauk SSSR, Ser. Mat. Tom v.38 Description of Filtered Lie Algebra with which Graded Lie algebras of Cartan type are Associated Kac, V.G.
  6. Comm. Math. Phys. v.86 no.1 The Virasoro algebra Kaplansky, I.
  7. Journal of Lie Theory v.13 no.2 The automorphisms of generalized witt type Lie algebras Kawamoto, Naoki;Mitsukawa, Atsushi;Nam, Ki-Bong;Wang, Moon-Ok
  8. Southeast Asian Bulletin of Mathematics v.27 On Some Non-Associative Algebras Using Additive Groups Nam, Ki-Bong
  9. Southeast Asian Bulletin of Mathematics v.29 On Evaluation Algebras Nam, Ki-Bong;Choi, Seul-Hee
  10. Southeast Asian Bull. Math. On the Derivations of Non-Associative Weyl-type Algebras Nam, Ki-Bong;Choi, Seul-Hee
  11. Journal of Applied Algebra and Discrete Structures v.1 no.3 Notes on Some Non-Associative Algebras Nam, Ki-Bong;Wang, Moon-Ok
  12. IMCC Proceedings Weyl-type Non-Associative Algebras I Nam, Ki-Bong;Kim, Yang-Gon;Wang, Moon-Ok
  13. Math. USSR-Izvestija v.3 Groups of Automorphisms of Infinite-Dimensional Simple Lie Algebras Rudakov, A.N.
  14. Introduction to nonassociative algebras Schafer, R.D.