Homology of Lie Algebras of Matrices
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 301)
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One of the main properties of cyclic homology is its relationship with the homology of the Lie algebra of matrices. Explicitly it takes the following form.
KeywordsHopf Algebra Invariant Theory Leibniz Algebra Cyclic Homology Tensor Module
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Bibliographical Comments on Chapter 10
- Tsygan, B.L., The homology of matrix Lie algebras over rings and the Hochschild homology (en russe), Uspekhi Mat. Nauk 38 (1983), 217–218–Russ. Math. Survey 38 No. 2 (1983), 198–199Google Scholar
- Cuntz, J., Quillen, D., Algebra extensions and nonsingularity, preprint (1991). Cuvier, C., Homologie de Leibniz et homologie de Hochschild, C. R. Acad. Sci. Paris Sér. A-B 313 (1991), 569–572.Google Scholar
- Loday, J.-L., Pirashvili, T., Universal enveloping algebras of Leibniz algebras and (co)homology, preprint Strasbourg (1992).Google Scholar
© Springer-Verlag Berlin Heidelberg 1992