The spaceL2on semi-infinite Grassmannian over finite field

On an Infinite-dimensional Group over a Finite Field

Analytical Solution of The Laminar Boundary Layer Flow over Semi-Infinite Flat Plate: Variable Surface Temperature

In this paper, the problem of forced convection over a horizontal flat plate under condition of variable plate temperature is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. This paper provides good supplements to the existing literature and generalizes the previ...

Infinite - Genus Surfaces and the Universal Grassmannian

Correlation functions can be calculated on Riemann surfaces using the operator formalism. The state in the Hilbert space of the free field theory on the punctured disc, corresponding to the Riemann surface, is constructed at infinite genus, verifying the inclusion of these surfaces in the Grassmannian. In particular, a subset of the class of O HD surfaces can be identified with a subset of the ...

Four Drafts of the Representation Theory of the Group of Infinite Matrices over a Finite Field

The four texts presented below were written in 1997–2000, when S. V. Kerov and me decided to return to the program we had designed in the early 80s: to generalize the representation theory of the infinite symmetric group, which we had started in the late 70s, to the groups of infinite matrices over finite fields. Our first basic publication on this subject [VK] was unfortunately almost the last...

On the Finite Rank of Bounded Semi-infinite Hankel Operators

Bounded, semi-infinite Hankel matrices of finite rank over the space l of square-summable sequences occur frequently in classical analysis and engineering applications. The notion of finite rank often appears under different contexts and the literature is diverse. The first part of this paper reviews some elegant, classic criteria and establish connections among the various characterizations of...