New Entries/Amendments for 2006-Jan-8.html
======= Date: Sun, 8 Jan 2006 07:07:45 +1100 (EST)
(subtype) new
(headw1) 冪零
(kana1) ベキレイ
(pos1) adj
(english1) nilpotent
(reference) Technical math term, meaning an element x of an algebra
with power x^n = 0. It is pretty common in math textbooks.
For example, 冪零Lie環 (nilpotent Lie algebra) Googles to
a few hundred, of which the sixth is
http://www.kurims.kyoto-u.ac.jp/~kenkyubu/seminar/danwakai/2003/nishiyama/
and has: "ad x が冪零の時、x を冪零元といい"
we say that x is a nilpotent element if its adjoint map
ad x is nilpotent.
(comment) There are hundreds more technical math terms like this, but
I don't have time.