Some conjectures and results concerning the homology of nilpotent Lie algebras
dc.contributor.author | Hanlon, Phil | en_US |
dc.date.accessioned | 2006-04-10T13:34:05Z | |
dc.date.available | 2006-04-10T13:34:05Z | |
dc.date.issued | 1990-11 | en_US |
dc.identifier.citation | Hanlon, Phil (1990/11)."Some conjectures and results concerning the homology of nilpotent Lie algebras." Advances in Mathematics 84(1): 91-134. <http://hdl.handle.net/2027.42/28321> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6W9F-4CRY5D9-1B2/2/fdeeb0a613bc782611a4a2fd1c56d7e5 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/28321 | |
dc.description.abstract | In this paper we consider the Lie algebra homology ofLk=L[circle times operator](C[t]/(tk+1))for L a complex Lie algebra. Our goal is to express the homology of Lk in terms of the homology of L. This problem comes up in previous work by the author on the Macdonald root system conjectures.We present a number of conjectures related to this problem. The simplest of these conjectures asserts thatH(Lk)=H(L)[circle times operator](k+1)when L is either semisimple or a nilpotent upper summand of a semisimple Lie algebra. We give a proof of (*) in the case L = sln(). Lastly we present computational evidence in support of our other conjectures. | en_US |
dc.format.extent | 1866725 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Some conjectures and results concerning the homology of nilpotent Lie algebras | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | 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, University of Michigan, Ann Arbor, Michigan 48109-1003, USA | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/28321/1/0000077.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0001-8708(90)90037-N | en_US |
dc.identifier.source | Advances in Mathematics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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