대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제56권1호
  • /
  • Pages.13-22
  • /
  • 2019
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SECOND COHOMOLOGY OF aff(1) ACTING ON n-ARY DIFFERENTIAL OPERATORS

  • Basdouri, Imed (Departement de Mathematiques Faculte des Sciences de Gafsa) ;
  • Derbali, Ammar (Universite de Gafsa, Faculte des Sciences Departement de Mathematiques) ;
  • Saidi, Soumaya (Universite de Gafsa, Faculte des Sciences Departement de Mathematiques)
  • 투고 : 2017.09.06
  • 심사 : 2018.12.05
  • 발행 : 2019.01.31
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초록

We compute the second cohomology of the affine Lie algebra aff(1) on the dimensional real space with coefficients in the space ${\mathcal{D}}^n_{{\underline{\lambda}},{\mu}}$ of n-ary linear differential operators acting on weighted densities where ${\underline{\lambda}}=({\lambda}_1,{\ldots},{\lambda}_n)$. We explicitly give 2-cocycles spanning these cohomology.

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참고문헌

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