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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 263, Pages 106–119
(Mi tm786)
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This article is cited in 5 scientific papers (total in 5 papers)
Cohomology of Graded Lie Algebras of Maximal Class with Coefficients in the Adjoint Representation
D. V. Millionshchikov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We compute explicitly the adjoint cohomology of two $\mathbb N$-graded Lie algebras of maximal class (infinite-dimensional filiform Lie algebras) $\mathfrak m_0$ and $\mathfrak m_2$. It is known that up to an isomorphism there are only three $\mathbb N$-graded Lie algebras of maximal class. The third algebra from this list is the “positive” part $L_1$ of the Witt (or Virasoro) algebra, and its adjoint cohomology was computed earlier by Feigin and Fuchs.
Received in April 2008
Citation:
D. V. Millionshchikov, “Cohomology of Graded Lie Algebras of Maximal Class with Coefficients in the Adjoint Representation”, Geometry, topology, and mathematical physics. I, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 263, MAIK Nauka/Interperiodica, Moscow, 2008, 106–119; Proc. Steklov Inst. Math., 263 (2008), 99–111
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https://www.mathnet.ru/eng/tm786 https://www.mathnet.ru/eng/tm/v263/p106
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