Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 5-17
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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/
@article{ZNSL_1997_240_a0,
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},
year = {1997},
volume = {240},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a0/}
}
TY - JOUR
AU - Yu. M. Bazlov
TI - The homology of infinite-dimensional Lie algebras in connection with Macdonald identity
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 5
EP - 17
VL - 240
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a0/
LA - ru
ID - ZNSL_1997_240_a0
ER -
%0 Journal Article
%A Yu. M. Bazlov
%T The homology of infinite-dimensional Lie algebras in connection with Macdonald identity
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 5-17
%V 240
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a0/
%G ru
%F ZNSL_1997_240_a0
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.
