Kmax and stable rank of enveloping algebras

Tintera, George

doi:10.1090/S0002-9939-1993-1152293-X

Kmax and stable rank of enveloping algebras
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by George Tintera

Proc. Amer. Math. Soc. 119 (1993), 691-696

DOI: https://doi.org/10.1090/S0002-9939-1993-1152293-X

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Abstract:

We calculate upper bounds for the stable rank of enveloping algebras of all finite-dimensional nonabelian nilpotent and some solvable Lie algebras using Kmax and Stafford’s generalization of Bass’s Stable Range Theorem. We find that the stable rank of these algebras is less than their commutative counterparts, polynomial rings.

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Reciprocity laws and the stable rank of polynomial rings

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