-inner automorphisms of filtered algebras

Author:
Susan Montgomery

Journal:
Proc. Amer. Math. Soc. **83** (1981), 263-268

MSC:
Primary 16A03; Secondary 17B40

MathSciNet review:
624911

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Abstract: For the enveloping algebra of a finite-dimensional Lie algebra, and for the ring of differential polynomials over a commutative domain, we compute the group of those automorphisms which become inner when extended to the quotient division rings. Both of these results depend on a more general result about the automorphisms of a filtered algebra.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1981-0624911-5

Article copyright:
© Copyright 1981
American Mathematical Society