Rigidity of generalized Verma modules

• Autorzy: Oleksandr Khomenko , Volodymyr Mazorchuk
• Języki publikacji: EN

Abstrakty

EN

We prove that generalized Verma modules induced from generic Gelfand-Zetlin modules, and generalized Verma modules associated with Enright-complete modules, are rigid. Their Loewy lengths and quotients of the unique Loewy filtrations are calculated for the regular block of the corresponding category 𝒪(𝔭,Λ).

Kategorie tematyczne

• 17B35: Universal enveloping (super)algebras
• 17B10: Representations, algebraic theory (weights)
• 16G99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 92
• Numer: 1
• Strony: 45-57

Daty

wydano

2002

Twórcy

autor

Oleksandr Khomenko

• Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Eckerstrasse 1, D-79104 Freiburg im Breisgau, Germany

autor

Volodymyr Mazorchuk

• Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany
• Chalmers Tekniska Högskola och Göteborgs Universitet, Göteborg, Sweden
• Matematiska Institutionen, Uppsala Universitet, Box 480, SE-75106 Uppsala, Sweden

Identyfikatory

DOI

10.4064/cm92-1-4