A. Ya. Sultanov, “On Lie Algebras of Holomorphic Affine Vector Fields on Weil Bundles”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009, Volume 151, Book 4,Pages <nobr>171

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On Lie Algebras of Holomorphic Affine Vector Fields on Weil Bundles

A. Ya. Sultanov

Penza State Pedagogical University

Abstract: We establish maximal dimensions of Lie algebras of holomorphic affine vector fields on Weil bundles endowed with holomorphic linear connections.

Keywords: Weil algebra, Weil bundle, holomorphic function, holomorphic linear connection, affine vector field, Lie algebra.

UDC: 514.76

Received: 05.08.2009