Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493237 | Journal of Algebra | 2005 | 36 Pages |
Abstract
The main results are the following: (1) We show that the subalgebra of constants of a factor algebra can be lifted to the subalgebra of constants. (2) For all varieties of associative algebras which are not nilpotent in Lie sense the subalgebras of constants of the relatively free algebras of rank ⩾2 are not finitely generated. (3) We describe the generators of the subalgebra of constants for all factor algebras Kãx,yã/I modulo a GL2(K)-invariant ideal I. (4) Applying known results from commutative algebra, we construct classes of automorphisms of the algebra generated by two generic 2Ã2 matrices. We obtain also some partial results on relatively free Lie algebras.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vesselin Drensky, C.K. Gupta,