Can the Weyl algebra be a fixed ring?
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- by S. P. Smith PDF
- Proc. Amer. Math. Soc. 107 (1989), 587-589 Request permission
Abstract:
If a finite soluble group acts as automorphisms of a domain, then the invariant subring is not isomorphic to the first Weyl algebra ${\mathbf {C}}[t,d/dt]$.References
- Jacques Dixmier, Algèbres enveloppantes, Cahiers Scientifiques, Fasc. XXXVII, Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1974 (French). MR 0498737 S. P. Smith, Overrings of primitive factor rings of $U({\text {s}}1(2))$, J. Pure and Appl. Alg., (to appear).
- J. T. Stafford, Endomorphisms of right ideals of the Weyl algebra, Trans. Amer. Math. Soc. 299 (1987), no. 2, 623–639. MR 869225, DOI 10.1090/S0002-9947-1987-0869225-3
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 587-589
- MSC: Primary 16A19; Secondary 16A33, 17B35
- DOI: https://doi.org/10.1090/S0002-9939-1989-0962247-0
- MathSciNet review: 962247