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Some non-finitely presented Lie algebras

โœ Scribed by Joseph Abarbanel; Shmuel Rosset


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
493 KB
Volume
127
Category
Article
ISSN
0022-4049

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โœฆ Synopsis


Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer.

The multiplicator Hz(L/I",R)

of L/I" is not finitely generated, and so in particular, L/Z" is not finitely presented, even when L/I is finite dimensional.


๐Ÿ“œ SIMILAR VOLUMES


Finitely Presented Lie Algebras
โœ R.M. Bryant; J.R.J. Groves ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB
Construction of Finitely Presented Lie A
โœ VLADIMIR P. GERDT; VLADIMIR V KORNYAK ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 455 KB

We consider the following problem: what is the most general Lie algebra or superalgebra satisfying a given set of Lie polynomial equations? The presentation of Lie (super)algebras by a finite set of generators and defining relations is one of the most general mathematical and algorithmic schemes of