Meaning of LIE ALGEBRA in English

LIE ALGEBRA

¦lē- noun

Usage: usually capitalized L

Etymology: after Sophus Lie died 1899 Norwegian mathematician

: a linear algebra which has the multiplicative operation denoted by [, ] and is bilinear such that [ aA + bB,C ] = a [ A,C ] + b [ B,C ] and [ A,aB + bC ] = a [ A,B ] + b [ A,C ] and satisfies the conditions that [ A,A ] = 0 and [[ A,B ], C ] + [[ B,C ], A ] + [[ C,A ], B ] = 0 where A, B, C are any vectors in the vector space and a, b, c are scalars from the associated field

Webster's New International English Dictionary.      Новый международный словарь английского языка Webster.