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8 papers · 1 filter
On harmonic elements for semi-simple Lie algebra
Philippe Caldero
Let ${\goth g}$ be a semi-simple complex Lie algebra, ${\goth g}={\goth n^-}\oplus{\goth h}\oplus{\goth n}$ its triangular decomposition. Let $U({\goth g})$, resp. $U_q({\goth g})$…
Some new identities for Schur functions
F. Jouhet, J. Zeng
Some new identities for Schur functions are proved. In particular, we settle in the affirmative a recent conjecture of Ishikawa-Wakayama and solve a problem raised by Bressoud.
Erratum: Some Remarks on the Cohomology of Krichever-Novikov Algebras
Friedrich Wagemann
We discovered that only a weakened version of the main lemma is true. We state the right version, and the remaining open problem: Is it possible to approximate holomorphic vector f…
On the Leibniz cohomology of vector fields
Alessandra Frabetti, Friedrich Wagemann
I. M. Gelfand and D. B. Fuks have studied the cohomology of the Lie algebra of vector fields on a manifold. In this article, we generalize their main tools to compute the Leibniz c…
A Crossed Module giving the Godbillon-Vey Cocycle
Friedrich Wagemann
We find crossed modules, i.e. certain 4 term exact sequences, associated to the Godbillon-Vey class for W_1, Vect(S^1), Vect_{1,0}(Σ) and Hol(Σ_r), i.e. for the Lie algebras of for…
Penalty approximation for non smooth constraints in vibroimpact
Laetitia Paoli, Michelle Schatzman
We examine the penalty approximation of the free motion of a material point in an angular domain; we choose an over-damped penalty, and we prove that if the first impact point is n…