𝑋-inner automorphisms of filtered algebras

Montgomery, Susan

doi:10.1090/S0002-9939-1981-0624911-5

$X$-inner automorphisms of filtered algebras
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Proc. Amer. Math. Soc. 83 (1981), 263-268 Request permission

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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