Geodesic
Rigidity of generalized Verma modules
Oleksandr Khomenko 1   ; Volodymyr Mazorchuk 2
1 Mathematisches Institut Albert-Ludwigs-Universität Freiburg Eckerstrasse 1 D-79104 Freiburg im Breisgau, Germany
2 Max-Planck-Institut für Mathematik Vivatsgasse 7 D-53111 Bonn, Germany and Chalmers Tekniska Högskola och Göteborgs Universitet Göteborg, Sweden and Matematiska Institutionen Uppsala Universitet Box 480 SE-75106 Uppsala, Sweden
Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 45-57 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 ${{\cal O}}({{{\mathfrak p}}},{\mit \Lambda })$.
DOI : 10.4064/cm92-1-4
Keywords: prove generalized verma modules induced generic gelfand zetlin modules generalized verma modules associated enright complete modules rigid their loewy lengths quotients unique loewy filtrations calculated regular block corresponding category cal mathfrak mit lambda

Oleksandr Khomenko  1   ; Volodymyr Mazorchuk  2

1 Mathematisches Institut Albert-Ludwigs-Universität Freiburg Eckerstrasse 1 D-79104 Freiburg im Breisgau, Germany
2 Max-Planck-Institut für Mathematik Vivatsgasse 7 D-53111 Bonn, Germany and Chalmers Tekniska Högskola och Göteborgs Universitet Göteborg, Sweden and Matematiska Institutionen Uppsala Universitet Box 480 SE-75106 Uppsala, Sweden 
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Oleksandr Khomenko; Volodymyr Mazorchuk. Rigidity of generalized Verma modules. Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 45-57. doi: 10.4064/cm92-1-4

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