Fully commutative elements and spherical nilpotent orbits
نویسندگان
چکیده
Let g be a complex simple Lie algebra, with fixed Borel subalgebra b⊂g and Weyl group W. Expanding on previous work of Fan Stembridge in the simply laced case, this note aims to study fully commutative elements W, their connections spherical nilpotent orbits g. If is not type G2, it shown that an element w∈W if only b determined by inversions w lies closure orbit. A similar characterization also given for ad-nilpotent ideals b, which are parametrized suitable affine thanks Cellini Papi.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.07.013