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Derivations of a Weyl type non-associative algebra on a Laurent extension

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Abstract

A Weyl type algebra is dened in the book ([4]). AWeyl type non-associative algebraWPm;n;s and its restricted sub-algebraWPm;n;s r are dened in various papers ([1], [12], [3], [11]).Several authors nd all the derivations of an associative (Lie or non-associative) algebra in the papers ([1], [2], [12], [4], [6], [11]). We ndall the non-associative algebra derivations of the non-associative al-$\overline{WP_{0,2,0}}_{B}$, where $B=\{\partial_0, \partial_1, \partial_2, \partial_{12},\partial_{1}^2, \partial_{2}^2 \}.$

참고문헌 (11)

  1. "Lie admissible non-associativealgebras", 12(1), pp.113~120 (2005)
  2. "Derivations of a restricted Weyl type algebra I" (2005)
  3. "Enveloping Algebras" (1996)
  4. "Introduction to Lie Algebras and Representation Theory" (1978), Springer-Verlag
  5. "Groups|Korea '98 (Pusan)" (2000), de Gruyter
  6. "Description of ltered Lie algebra with which graded Lie algebras ofCartan type are associated", pp.834~ (1974)
  7. "Graded Lie algebras of nite characteristic", pp.240~ (1970)
  8. "Some W-type algebras I", 2(1), pp.39~46 (2004)
  9. "Generalized W and H type Lie algebras", 6(3), pp.329~340 (1999)
  10. "Automorphism group of non-associative algebras $\overline", 1(1), pp.35~44 (2005)
  11. "Weyl-type non-associative algebras III", 3(2), pp.91~100 (2005)

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