Two properties of endomorphisms of Weyl algebras

Niels Lauritzen; Jesper Funch Thomsen

doi:10.1016/j.jalgebra.2016.12.036

Two properties of endomorphisms of Weyl algebras

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

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Abstract

We show that endomorphisms of Weyl algebras over fields of characteristic zero are flat and that birational endomorphisms are automorphisms by reducing to positive characteristic. We also give examples showing that endomorphisms of Weyl algebras are not in general flat over fields of positive characteristic.

Originalsprog	Engelsk
Tidsskrift	Journal of Algebra
Vol/bind	479
Sider (fra-til)	137-158
Antal sider	22
ISSN	0021-8693
DOI	https://doi.org/10.1016/j.jalgebra.2016.12.036
Status	Udgivet - 2017

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10.1016/j.jalgebra.2016.12.036

1508.02499Indsendt manuskript, 127 KBLicens: Ikke-specificeret

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AU - Thomsen, Jesper Funch

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AB - We show that endomorphisms of Weyl algebras over fields of characteristic zero are flat and that birational endomorphisms are automorphisms by reducing to positive characteristic. We also give examples showing that endomorphisms of Weyl algebras are not in general flat over fields of positive characteristic.

KW - Dixmier conjecture

KW - Positive characteristic

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DO - 10.1016/j.jalgebra.2016.12.036

M3 - Journal article

SN - 0021-8693

VL - 479

SP - 137

EP - 158

JO - Journal of Algebra

JF - Journal of Algebra

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Two properties of endomorphisms of Weyl algebras

Abstract

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