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Remarks on the abelian ideals of a Borel subalgebra

open access: yes, 2013
Let $\frb$ be a fixed Borel subalgebra of a finite-dimensional complex simple Lie algebra $\frg$. The Shi bijection associates to every ad-nilpotent ideal $\fri$ of $\frb$ a region $V_{\fri}$. In this paper, we show that $\fri$ is abelian if and only if $V_{\fri}\cap 2A$ is empty, if and only if the volume of $V_{\fri}\cap 2A$ equals to that of $A ...
openaire   +2 more sources

An Euler system for GU(2, 1). [PDF]

open access: yesMath Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

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