1,721,016 research outputs found
Lie groups: an approach through invariants and representations
No full textIncludes bibliographical references and index
Reducible quasi-periodic solutions for the non linear Schrödinger equation
Full text linkThe present paper is devoted to the construction of small reducible quasi-periodic solutions for the completely resonant NLS equations on a d-dimensional torus Td. The main point is to prove that the normal form is reducible, block diagonal and satisifies the second Melnikov conditon block wise. From this we deduce the result by a KAM algorithm
THE ZONOTOPE OF A ROOT SYSTEM
No full textWe want to explain some formulas appearing in connection with root systems and their zonotopes which are relevant for the theory of the Kostant partition function. In particular, we compute explicitly the Tutte polynomial for all exceptional root systems. A more systematic treatment of these topics will appear in a forthcoming book Topics in Hyperplane Arrangements, Polytopes and Box-Splines
On the geometry of toric arrangements
No full textMotivated by the counting formulas of integral polytopes, as in Brion and Vergne [5], [4], and Szenes and Vergne [27], we start to form the foundations of a theory for toric arrangements, which may be considered as the periodic version of the theory of hyperplane arrangements
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