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Jantzen filtration of Exceptional Lie superalgebras
澳门新葡8455最新网站:2017年05月22日 08:44 点击数:

报告人:苏育才

报告地点:澳门新葡8455最新网站317室

报告澳门新葡8455最新网站:2017年05月22日星期一15:00-15:45

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报告摘要:

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 lattices of the parabolic Verma modules is given, and formulae for characters and dimensions of the finite-dimensional simple modules are obtained. This is a joint work with R.B. Zhang.

主讲人概况:

苏育才,国家杰出青年基金获得者,同济大学数学系特聘教授、博士生导师、数学研究所所长,中国科新葡京最新官网“百人计划”入选者和教育部“跨世纪优秀人才”入选者。担任SCI杂志《Algebra Colloquium》的责任编委。主持国家自然科学基金重点项目一项和面上项目多项。

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