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On the Property M Conjecture for the Heisenberg Lie Algebra

✍ Scribed by Phil Hanlon; Michelle L. Wachs

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
134 KB
Volume
99
Category
Article
ISSN
0097-3165

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✦ Synopsis

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 homology of this extension of the three-dimensional Heisenberg Lie algebra have dimension 3 kþ1 by constructing a simple basis for cohomology. # 2002 Elsevier Science (USA)

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