Howe Duality for the general linear Lie superalgebras (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie)

n , 1) maps the space of all homogeneous elements of degree n of an arbitrary free associative algebra onto its subspace of homogeneous Lie elements of degree n. A second

The last sections present two simple applications showing how the EB property may be used in the contexts where it holds: in Section 7 we give an alternative proof of

Pongsriiam, The general case on the order of appearance of product of consecutive Lucas numbers, Acta Math.. Pongsriiam, The order of appearance of product of Fibonacci

We show some symmetry relations among the correlation functions of the in- tegrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals

Splitting homotopies : Another View of the Lyubeznik Resolution There are systematic ways to find smaller resolutions of a given resolution which are actually subresolutions.. This is

Using a ltration of Outer space indicated by Kontsevich, we show that the primitive part of the homology of the Lie graph complex is the direct sum of the cohomologies of Out(F r ),

Using a step-like approximation of the initial profile and a fragmentation principle for the scattering data, we obtain an explicit procedure for computing the bound state data..

If g is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.. We describe noncomplete affine structures on the filiform