Involutional Matrices Based on the Representation Theory of GL(2)
- 1 July 1969
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (7) , 1225-1234
- https://doi.org/10.1063/1.1664962
Abstract
Involutional matrices M(a, b, c) with three arbitrary parameters are introduced, based on a matrix representation M(R) of the linear homogeneous transformation R ∈ GL(2). Symmetry properties, eigenvalues, and recursion formulas for the representation M(R) are obtained and specialized to the involutional matrices M(a, b, c). A set of special involutional matrices A(ξ), B(ξ), C(ξ), and E(ξ) with one arbitrary parameter ξ are introduced as special cases of M(a, b, c). Their relations are discussed.Keywords
This publication has 2 references indexed in Scilit:
- Modified Admittance, Perpendicular Susceptibilities, and Transformation of Correlations of the Ising ModelJournal of Mathematical Physics, 1968
- Transformations of Ising ModelsPhysical Review B, 1959