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- W1966731594 abstract "Let f = x + H : C n → C n be a homogeneous polynomial map of degree d ⩾ 2 and F A = y + ( Ay ) ( d ) : C N → C N a power linear map such that f and F A are a generalized Gorni-Zampieri pair. We discuss the relation between the nilpotency indices of JH and J ( Ay ) ( d ) and we show that f is linearly triangularizable if and only if F A is linearly triangularizable. As a consequence, we show that a quadratic linear Keller map F A = y + ( Ay ) ( 2 ) with nilpotency index three, i.e., ( J ( Ay ) ( 2 ) ) 3 = 0 , is linearly triangularizable." @default.
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- W1966731594 date "2008-07-01" @default.
- W1966731594 modified "2023-10-16" @default.
- W1966731594 title "Quadratic linear Keller maps of nilpotency index three" @default.
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- W1966731594 doi "https://doi.org/10.1016/j.laa.2008.01.032" @default.
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