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

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

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