Minimal Polynomials and Annihilators of Generalized Verma Modules of the Scalar Type
Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 155-219
We construct a generator system of the annihilator of a generalized Verma module of a reductive Lie algebra induced from a character of a parabolic subalgebra as an analogue of the minimal polynomial of a matrix.
DOI:
10.5802/jolt.405
Classification:
22E47, 16S30
Keywords: Generalized Verma modules, minimal polynomials, Harish-Chandra homomorphisms
Keywords: Generalized Verma modules, minimal polynomials, Harish-Chandra homomorphisms
@article{JOLT_2006_16_1_a12,
author = {H. Oda and T. Oshima},
title = {Minimal {Polynomials} and {Annihilators} of {Generalized} {Verma} {Modules} of the {Scalar} {Type}},
journal = {Journal of Lie Theory},
pages = {155--219},
year = {2006},
volume = {16},
number = {1},
doi = {10.5802/jolt.405},
zbl = {1101.22010},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.405/}
}
TY - JOUR AU - H. Oda AU - T. Oshima TI - Minimal Polynomials and Annihilators of Generalized Verma Modules of the Scalar Type JO - Journal of Lie Theory PY - 2006 SP - 155 EP - 219 VL - 16 IS - 1 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.405/ DO - 10.5802/jolt.405 ID - JOLT_2006_16_1_a12 ER -
H. Oda; T. Oshima. Minimal Polynomials and Annihilators of Generalized Verma Modules of the Scalar Type. Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 155-219. doi: 10.5802/jolt.405
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