Products of reflections in the unitary group
Authors: Dragomir Ž. Djoković and Jerry Malzan
Journal: Proc. Amer. Math. Soc. 73 (1979), 157-160
MSC: Primary 22C05; Secondary 20G25
MathSciNet review: 516455
Abstract: Let and let be the eigenvalues of A where . Then is an integer and . Denote by the length of A with respect to the set of all reflections, i.e., is the smallest integer m such that A is a product of m reflections. A reflection is a matrix conjugate to . Our main result is the formula .
Keywords: Unitary group, reflections, length, eigenvalues, angles, characteristic polynomial
Article copyright: © Copyright 1979 American Mathematical Society