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Notes on a non-associative algebras with exponential functions III

최설희
대한수학회 (The Korean Mathematical Society)|2008.04|대한수학회논문집 (Communications of the KMS)|제23권 제2호|pp. 153-159

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키워드

ordersimpleWitt algebragradedradical homogeneous equivalent componentderivation invariant
주제분류수학

초록

For [수식], all the derivations of the evaluation alge-bra [수식] is found in the paper (see [16]). ForM = {수식} Dernon (F[e±x]M)) of the evaluation algebra [수식] is found inthe paper (see [2]). For M = {수식}, we nd Dernon [수식] of the evaluation algebra [수식] in this paper.

Abstract

For [수식], all the derivations of the evaluation alge-bra [수식] is found in the paper (see [16]). ForM = {수식} Dernon (F[e±x]M)) of the evaluation algebra [수식] is found inthe paper (see [2]). For M = {수식}, we nd Dernon [수식] of the evaluation algebra [수식] in this paper.

참고문헌 (16)

  1. M. H. Ahmadi, "Lie admissible non-associative algebras", Algebra Colloquium, 12(1), pp.113~120 (2005)
  2. S. H. Choi, "Notes on a Non-Associative Algebras with Exponential Functions II", Bull. Korean Math. Soc, 44(2), pp.241~246 (2007)
  3. S. H. Choi, "The derivation of a restricted Weyl type non-associative algebra", Hadronic Journal, 28(3), pp.287~295 (2005)
  4. S. H. Choi, "Derivation of symmetric non-associative algebra I", Algebras Groups and Geometries, 22(3), pp.341~352 (2005)
  5. S. H. Choi, "Derivations of a restricted Weyl Type Algebra I", Appear Rocky Mountain Journal of Mathematics (2007)
  6. T. Ikeda, "A class of simple subalgebras of generalized W algebras", Proceedings of the International Conference in 1998 at Pusan, pp.189~202 (2000), Walter de Gruyter Gmbh Co. KG
  7. V. G. Kac, "Description of Filtered Lie Algebra with which Graded Lie algebras of Cartan type are Associated", Izv. Akad. Nauk SSSR Ser. Mat. Tom, 38, pp.832~834 (1974)
  8. N. Kawamoto, "The automorphisms of generalized Witt type Lie algebras", 571–576, 13(2), pp.571~576 (2003)
  9. I. Kaplansky, "The Virasoro algebra", Comm. Math. Phys, 86(1), pp.49~54 (1982)
  10. K.-B. Nam, "On some non-associative algebras using additive groups", Southeast Asian Bulletin of Mathematics, 27, pp.493~500 (2003)
  11. Y. Kim, "Weyl-type non-associative algebras I", IMCC Proceedings, pp.147~155 (2004), SAS Publishers
  12. K.-B. Nam, "Notes on some non-associative algebras", Journal of Applied Algebra and Discrete Structured, 1(3), pp.159~164 (2003)
  13. K.-B. Nam, "On the derivations of non-associative Weyl-type algebras", Southeast Asian Bull. Math, 31, pp.341~348 (2007)
  14. A. N. Rudakov, "Groups of automorphisms of infinite-dimensional simple Lie algebras", Math. USSR-Izvestija, 3, pp.707~722 (1969)
  15. R. D. Schafer, "Introduction to nonassociative algebras", pp.128~138 (1995), Dover
  16. 왕문옥, "Some results on non-associative algebras", 대한수학회지, 44(1), pp.95~102 (2007), 대한수학회

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