The generalized Witt algebras using additive maps

preprint1998arXivOpen access

Abstract

Wawamoto generalized the Witt algebra using Laurent extension of polynomial ring. We construct the generalized Witt algebra W(gp,n)W(g_p,n) by using an additive map gpg_p from a set of integers into a field of characteristic zero where 1≤p≤n.1\leq p \leq n.

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