We give two new characterizations of the notion Lyapunov regularity in terms lower and upper exponential growth rates singular values. These motivate introduction coefficients. In particular, we establish relations between these coefficients coefficient. Moreover, construct explicitly bounded sequences matrices attaining specific values

The irreducible ∗-representations of the Lie algebra su(1, 1) consist of discrete series representations, principal unitary series and complementary series. We calculate Racah coefficients for tensor product representations that consist of at least two discrete series representations. We use the explicit expressions for the Clebsch-Gordan coefficients as hypergeometric functions to find explici...