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5 papers · 1 filter
The first cohomology group of the trivial extension of a monomial algebra
Claude Cibils, Maria Julia Redondo, Manuel Saorin
Given a finite--dimensional monomial algebra we consider the trivial extension and provide formulae, depending on the characteristic of the field, for the dimensions of th…
Nondegeneracy of the Lie algebra aff(n)
Jean-Paul Dufour, Nguyen Tien Zung
We show that , the Lie algebra of affine transformations of is formally and analytically nondegenerate in the sense of A. Weinstein. This means…
Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
Jean-Loic Kneur, Marcus B. Pinto, Rudnei O. Ramos
We investigate the convergence properties of optimized perturbation theory, or linear expansion (LDE), within the context of finite temperature phase transitions. Our results p…
Balanced configurations of 2n+1 plane vectors
N. Ressayre
A plane configuration {v_1,...,v_m} of vectors in {\mathbb R}^2 is said to be balanced if for any index i, the set of the det(v_i,v_j) for j\neq i is symmetric around the origin. A…
Symplectic or contact structures on Lie Groups
Y. Khakimdjanov, M. Goze, A. Medina
We study left invariant contact forms and left invariant symplectic forms on Lie groups. We give the classification of all symplectic structures on nilpotent Lie algebras up the di…