Article ID Journal Published Year Pages File Type
4584861 Journal of Algebra 2014 27 Pages PDF
Abstract

We prove the conjecture in [5] and [10] about the lower bounds of ad-nilpotent ideals with the same associated orbit. More precisely, for each nilpotent orbit of classical type, we construct explicit ad-nilpotent ideals of minimal dimension.For type An−1An−1, an explicit dimension formula for minimal ideals is provided based on partitions of n.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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