On supermatrix idempotent operator semigroups (Q1863522)

The author approaches some topics in supersymmetry by using concepts and methods from the theory of one-parameter operator semigroups. He introduces and investigates one-parameter semigroups of antitriangle idempotent supermatrices and superoperator semigroups. Operators which can be represented as a linear supermatrix function of the parameter \(t\) are called \(t\)-linear superoperators. It is shown that certain \(t\)-linear idempotent superoperators provide a non- exponential solution to an initial value problem.