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SIMPLE LIE ALGEBRAS WHICH GENERALIZE KPS`S LIE ALGEBRAS

  • 발행 : 2002.04.01

초록

In this paper we generalize the Lie algebras of KPS's in [4], which have no toral elements. However our generalized Lie algebras have toral elements. Moreover our Lie algebras are not isomorphic to the Witt algebra W(n) with a toral element.

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참고문헌

  1. Actes du colloque en I'honneur de Jacques Dixmier, Progress in Math. no.92 Representations of quantum groups at roots of 1, in Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory C.De Concini;V.Kac;A.Connes(ed.);M.Duflo(ed.);A.Joseph(ed.);R.Rentschler(ed.)
  2. Math.USSR Izv. v.2 Simple graded Lie algebras of finite growth V.G.Kac
  3. Hiroshima Math.J. v.16 Generalizations of Witt algebras over a field of chateristic zero N.Kawamoto
  4. Comm.in Alg. v.22 no.12 A q-Analog for the Virasoro Algebra E.Kirkman;C.Procesi;L.Small
  5. Math.USSR,Izv. v.3 no.2 Graded Lie algebras of finite characteristic A.I.Kostrilkin;I.R.Safarevic
  6. J.London Math.Soc. v.38 no.2 Crossed products and multiplicative analogues of Weyl algebras J.C.McConnell;J.J.Pettit
  7. Algebra Colloquium v.6 no.3 Generalized W type and H type Lie Algebras Characteristic Zero Ki-Bong Nam
  8. Journal of Algebra v.185 New simple infinite-dimensional Lie algebras of characteristic zero M.J.Osborn https://doi.org/10.1006/jabr.1996.0352
  9. Math.USSR-Izvestija v.3 Groups of Automorphisms of Infinite-Demensional Simple Lie Algebras A.N.Rudakov https://doi.org/10.1070/IM1969v003n04ABEH000798
  10. Associative Algebras R.S.Pierce