Geodesic
The homology of infinite-dimensional Lie algebras in connection with Macdonald identity
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 5-17

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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. 
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     author = {Yu. M. Bazlov},
     title = {The homology of infinite-dimensional {Lie} algebras in connection with {Macdonald} identity},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--17},
     publisher = {mathdoc},
     volume = {240},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a0/}
}
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Yu. M. Bazlov. The homology of infinite-dimensional Lie algebras in connection with Macdonald identity. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 5-17. http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a0/