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Start Over Subject locally nilpotent derivation

1. The groups of automorphisms of the Witt Wn and Virasoro Lie algebras

Creator:
Bavula, Vladimir V.
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, algebra, derivace funkce, mathematics, derivatives (mathematics), group of automorphisms, monomorphism, Lie algebra, Witt algebra, Virasoro algebra, automorphism, locally nilpotent derivation, 13, and 51
Language:
English
Description:
Let Ln = K[x1±1,..., xn±1] be a Laurent polynomial algebra over a field K of characteristic zero, Wn:= DerK(Ln) the Lie algebra of K-derivations of the algebra Ln, the so-called Witt Lie algebra, and let Vir be the Virasoro Lie algebra which is a 1-dimensional central extension of the Witt Lie algebra. The Lie algebras Wn and Vir are infinite dimen- sional Lie algebras. We prove that the following isomorphisms of the groups of Lie algebra automorphisms hold: AutLie(Vir) \simeq AutLie(W1) \simeq {±1} \simeq K*, and give a short proof that AutLie(Wn) \simeq AutK-alg(Ln) \simeq GLn(Z) \ltimes K*n., Vladimir V. Bavula., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public