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4 papers · 2 filters
Deformation par quantification et rigidite des algebres enveloppantes
M. Bordemann, A. Makhlouf, T. Petit
We call a finite-dimensional complex Lie algebra strongly rigid if its universal enveloping algebra $\Ug$ is rigid as an associative algebra, i.e. every formal assoc…
Degeneration, rigidity and irreducible components of Hopf algebras
Abdenacer Makhlouf
The aim of this work is to discuss the concepts of degeneration, deformation and rigidity, and to apply them to the geometric study of the varieties of Hopf algebras. The main resu…
Operades Lie-admissibles
E. Remm
The aim of this paper is to present remarkable classes of Lie-admissible algebras containing in particular the associative algebras, the Vinberg algebras and pre-Lie algebras. We d…
The Deligne-Simpson problem -- a survey
Vladimir Petrov Kostov
The Deligne-Simpson problem (DSP) (resp. the weak DSP) is formulated like this: {\em give necessary and sufficient conditions for the choice of the conjugacy classes $C_j\subset GL…