# Generalised Jantzen filtration of Lie superalgebras II: the exceptional cases

@article{Su2013GeneralisedJF, title={Generalised Jantzen filtration of Lie superalgebras II: the exceptional cases}, author={Yucai Su and R. B. Zhang}, journal={arXiv: Representation Theory}, year={2013} }

Let $g$ be an exceptional Lie superalgebra, and let $p$ be the maximal parabolic subalgebra which contains the distinguished Borel subalgebra and has a purely even Levi subalgebra. For any parabolic Verma module in the parabolic category $O^p$, it is shown that the Jantzen filtration is the unique Loewy filtration, and the decomposition numbers of the layers of the filtration are determined by the coefficients of inverse Kazhdan-Lusztig polynomials. An explicit description of the submodule…

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