Cohomology of Lie algebras of polynomial vector fields on the line over fields of characteristic 2

JOURNAL OF ALGEBRA

卷:483

Article

Weinstein, F. V.¹ 

[1] Giacomettistr 33A, CH-3006 Bern, Switzerland

关键词: Cohomology;    Lie algebras;   

DOI  :  10.1016/j.jalgebra.2017.03.025

来源: Elsevier

【 摘 要 】

For a field F, let L-k (F) be the Lie algebra of derivations f (t) d/dt of the polynomial ring F[t], where f(t) is a polynomial of degree > k. For any k >= -1, we present a basis of the space of the cohomology with finite-dimensional support of the Lie algebra L-k (F) with coefficients in the trivial module F for the case where char(F) = 2. The main result obtained is an analog of the famous Goncharova's Theorem for the case char(F) = 0 and k >= 1. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free