Rigidity of generalized Verma modules
Oleksandr Khomenko; Volodymyr Mazorchuk
Colloquium Mathematicae (2002)
- Volume: 92, Issue: 1, page 45-57
- ISSN: 0010-1354
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topOleksandr Khomenko, and Volodymyr Mazorchuk. "Rigidity of generalized Verma modules." Colloquium Mathematicae 92.1 (2002): 45-57. <http://eudml.org/doc/284193>.
@article{OleksandrKhomenko2002,
abstract = {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).},
author = {Oleksandr Khomenko, Volodymyr Mazorchuk},
journal = {Colloquium Mathematicae},
keywords = {generalized Verma module; rigidity; parabolic sub-algebra},
language = {eng},
number = {1},
pages = {45-57},
title = {Rigidity of generalized Verma modules},
url = {http://eudml.org/doc/284193},
volume = {92},
year = {2002},
}
TY - JOUR
AU - Oleksandr Khomenko
AU - Volodymyr Mazorchuk
TI - Rigidity of generalized Verma modules
JO - Colloquium Mathematicae
PY - 2002
VL - 92
IS - 1
SP - 45
EP - 57
AB - 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).
LA - eng
KW - generalized Verma module; rigidity; parabolic sub-algebra
UR - http://eudml.org/doc/284193
ER -
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