Gong, Ming-Peng2006-07-282006-07-2819981998http://hdl.handle.net/10012/245This thesis is concerned with the classification of 7-dimensional nilpotent Lie algebras. Skjelbred and Sund have published in 1977 their method of constructing all nilpotent Lie algebras of dimension n given those algebras of dimension < n, and their automorphism groups. By using this method, we construct all nonisomorphic 7-dimensional nilpotent Lie algebras in the following two cases: (1) over an algebraically closed field of arbitrary characteristic except 2; (2) over the real field R. We have compared our lists with three of the most recent lists (those of Seeley, Ancochea-Goze, and Romdhani). While our list in case (1) over C differs greatly from that of Ancochea-Goze, which contains too many errors to be usable, it agrees with that of Seeley apart from a few corrections that should be made in his list, Our list in case (2) over R contains all the algebras on Romdhani's list, which omits many algebras.application/pdf7610580 bytesapplication/pdfenCopyright: 1998, Gong, Ming-Peng. All rights reserved.Harvested from Collections CanadaDoctoral Thesis