Meaning of pseudoreflection | Babel Free
Definitions
An invertible linear transformation of a finite-dimensional vector space such that it is not the identity transformation, has a finite (multiplicative) order, and fixes a hyperplane.
Examples
“That is, t′x+y=0 is the pseudo-reflection of tx+y=0 if the ideal points (ρ′,1,0),(ρ,1,0) on the lines are a pair in the involution ρρ′=-h.”
“A linear transformation g∈BL(V) is a pseudoreflection if rank (g-I)=1.”
“It will be convenient to introduce two generalizations of the notion of pseudoreflection.”
CEFR level
C2
Mastery
This word is part of the CEFR C2 vocabulary — mastery level.
This word is part of the CEFR C2 vocabulary — mastery level.