Cyclic homology and the Macdonald conjectures
dc.contributor.author | Hanlon, Phil | en_US |
dc.date.accessioned | 2006-09-11T17:59:56Z | |
dc.date.available | 2006-09-11T17:59:56Z | |
dc.date.issued | 1986-02 | en_US |
dc.identifier.citation | Hanlon, Phil; (1986). "Cyclic homology and the Macdonald conjectures." Inventiones Mathematicae 86(1): 131-159. <http://hdl.handle.net/2027.42/46617> | en_US |
dc.identifier.issn | 0020-9910 | en_US |
dc.identifier.issn | 1432-1297 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46617 | |
dc.description.abstract | Let A+(k) denote the ring ℂ[ t ]/ t k+1 and let G be a reductive complex Lie algebra with exponents m 1 , ..., m n . This paper concerns the Lie algebra cohomology of G ⊗ A + ( k ) considered as a bigraded algebra (here one of the gradings is homological degree and the other, which we call weight , is inherited from the obvious grading of G ⊗ A + ( k )). We conjecture that this Lie algebra cohomology is an exterior algebra with k +1 generators of homological degree 2 m s +1 for s =1,2, ..., n . Of these k +1 generators of degree 2 m s +1, one has weight 0 and the others have weights ( k +1) m s +t for t =1,2, ..., k . | en_US |
dc.format.extent | 1389787 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Mathematics, General | en_US |
dc.title | Cyclic homology and the Macdonald conjectures | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, California Institute of Technology, 91125, Pasadena, CA, USA; Department of Mathematics, University of Michigan, 48109-1003, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46617/1/222_2005_Article_BF01391498.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01391498 | en_US |
dc.identifier.source | Inventiones Mathematicae | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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