THE EQUATION OF NON-COMMUTATIVE OPERATOR WITH INVOLUTION OPERATOR

Trinh Xuan Yen; Nguyen Thi Hanh

Trinh Xuan Yen Hung Yen University of Technology and Education
Nguyen Thi Hanh Hung Yen University of Technology and Education

Keywords: Algebra operators, the function equation of variable arguments

Abstract

In this later, we will show how to solve an equation with a D operator, which is non-commutative with an involution operator S order N but satisfies the relationship

SD=eDS, where e = e^2iπ/N. D is called a transpose operator if N = 2, then we have SD+DS=0 and we say D is non-commutative with S.

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