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- W2127359362 abstract "Abstract The group of automorphisms G n of the Lie algebra u n of triangular polynomial derivations of the polynomial algebra P n = K [ x 1 , … , x n ] is found ( n ⩾ 2 ), it is isomorphic to an iterated semi-direct product T n ⋉ ( UAut K ( P n ) n ⋊ ( F n ′ × E n ) ) where T n is an algebraic n-dimensional torus, UAut K ( P n ) n is an explicit factor group of the group UAut K ( P n ) of triangular polynomial automorphisms, F n ′ and E n are explicit groups that are isomorphic respectively to the groups I and J n − 2 where I : = ( 1 + t 2 K 〚 t 〛 , ⋅ ) ≃ K N and J : = ( t K 〚 t 〛 , + ) ≃ K N . It is shown that the adjoint group of automorphisms of the Lie algebra u n is equal to the group UAut K ( P n ) n ." @default.
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- W2127359362 date "2014-05-01" @default.
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- W2127359362 title "The groups of automorphisms of the Lie algebras of triangular polynomial derivations" @default.
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- W2127359362 doi "https://doi.org/10.1016/j.jpaa.2013.10.004" @default.
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