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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 5–17 (Mi znsl462)  
The homology of infinite-dimensional Lie algebras in connection with Macdonald identity

Yu. M. Bazlov
Full-text PDF (199 kB)
Abstract: D. Fuchs' monograph devoted to the cohomology of infinite-dimensional Lie algebras contains an error in calculating the homology of graded affine Kac–Moody algebra of type $A_n^{(1)}$, so that the proof of the corresponding Macdonald identity which is based on that calculation appears to be incorrect. In the present paper the corrected proof is suggested.
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 5, Pages 3447–3454
DOI: https://doi.org/10.1007/BF02175822
Bibliographic databases:
UDC: 512.66+512.81
Language: Russian
Citation: Yu. M. Bazlov, “The homology of infinite-dimensional Lie algebras in connection with Macdonald identity”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 5–17; J. Math. Sci. (New York), 96:5 (1999), 3447–3454
Citation in format AMSBIB
\Bibitem{Baz97}
\by Yu.~M.~Bazlov
\paper The homology of infinite-dimensional Lie algebras in connection with Macdonald identity
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 240
\pages 5--17
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691634}
\zmath{https://zbmath.org/?q=an:0993.17010}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 5
\pages 3447--3454
\crossref{https://doi.org/10.1007/BF02175822}
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