Linear functions on the classical matrix groups

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

Partition Functions of Reduced Matrix Models with Classical Gauge Groups

We evaluate partition functions of matrix models which are given by topologically twisted and dimensionally reduced actions of d = 4 N = 1 super Yang-Mills theories with classical (semi-)simple gauge groups, SO(2N), SO(2N + 1) and USp(2N). The integrals reduce to those over the maximal tori by semi-classical approximation which is exact in reduced models. We carry out residue calculus by develo...

High-Dimensional Random Matrices from the Classical Matrix Groups, and Generalized Hypergeometric Functions of Matrix Argument

Results from the theory of the generalized hypergeometric functions of matrix argument, and the related zonal polynomials, are used to develop a new approach to study the asymptotic distributions of linear functions of uniformly distributed random matrices from the classical compact matrix groups. In particular, we provide a new approach for proving the following result of D’Aristotile, Diaconi...

Maximal prehomogeneous subspaces on classical groups

Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

Matrix Groups (not Linear Algebraic)