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On Extensions of Lie Algebras by Means of the Heisenberg Algebra

✍ Scribed by S. T. Sadetov

Publisher
SP MAIK Nauka/Interperiodica
Year
2005
Tongue
English
Weight
112 KB
Volume
78
Category
Article
ISSN
0001-4346

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We prove a fundamental case of a conjecture of the first author which expresses the homology of the extension of the Heisenberg Lie algebra by C½t=ðt kþ1 Þ in terms of the homology of the Heisenberg Lie algebra itself. More specifically, we show that both the 0th and ðk þ 1Þth x-graded components of