Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : 001
Adresse :IHP


Orateur(s) Milen YAKIMOV - Lousiana State,
Titre Multiparameter quantum algebras
Horaire14:00 à 15:00
RésumeMultiparameter twists of quantum groups and quantum Schubert cell algebras were considered by many authors after the work of Artin, Shelter and Tate. We will prove a conjecture of Brown and Goodearl that the prime ideals of the first class of algebras are completely prime. For the second class of algebras we will prove a conjecture of Goodearl and Lenagan that their H-primes are polynormal, compute the dimensions of the Goodearl-Letzter strata of their spectra, and prove that they are catenary.