For an affine Lie algebra ĝ, the coefficients of certain vertex operators that annihilate level k standard ĝ-modules are defining relations for modules. In this paper, we study a combinatorial structure leading terms these = 2 algebras type Cn(1) and main result is construction combinatorially parameterized among annihilating fields. It believed constructed will play key role in Gröbner-like ba...

III. Geometry There are three logically independent facets to calculating the transfer map through a bend magnet: physics, geometry, and representation. We will derive the exact map for transit through ideal bends while separating these three, esp., isolating the geometry problem from the other two.

We investigate properties of differential and difference operators annihilating certain finite-dimensional spaces exponential functions in two variables that are connected to the representation real-valued trigonometric hyperbolic functions. Although appear a variety contexts, motivation behind this technical note comes from considering subdivision schemes where annihilation play an important r...

Let G be a digraph with n vertices and A(G) be its adjacency matrix. A monic polynomial f(x) of degree at most n is called an annihilating polynomial of G if f(A(G)) = 0. G is said to be annihilatingly unique if it possesses a unique annihilating polynomial. In this paper, the directed windmill M3(r) is defined and we study the annihilating uniqueness of M3(r).

In this paper, two classes of exact analytic time-dependent soultion of magnetic annihilation for incompressible magnetic fluid, have been obtained by solving the magnetohydro-dynamic (MHD) equations directly. The solutions derived here possess scaling property with time t as the scale factor. Based on these two solutions, we find that, for some given inflow fields, the evolution of the annihil...

We address the problem of controllability MHD system in a rectangular domain with control prescribed on side boundary. identify necessary and sufficient condition data to be null-controllable, i.e., can driven zero state. also show that validity this allows states stirred each other. If is not satisfied, one move from state another help simple shear external magnetic force.