Algebraic Representation of the Group of Havrda–Charvat–Daroczy Entropy Vectors in Nonextensive Statistical Mechanics

详细

An algebraic representation of the group of nonextensive, parameterized Havrda–Charvat–Daroczy entropy vectors that depend on three distributions is constructed. The composition law of conformally-generalized hypercomplex numbers is considered, and properties of a commutative, nonassociative algebra are derived. The exponential form of the number and functions of numbers with hyperbolic angles are presented.