Abelian ideals of a Borel subalgebra and root systems [PDF]
Journal of the European Mathematical Society, 2014 Let \mathfrak g be a simple Lie algebra and \mathfrak {Ab}^o the poset of non-trivial abelian ideals of a fixed Borel subalgebra of
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Unipotent Radicals of the Standard Borel and Parabolic Subgroups in Quantum Special Linear Groups [PDF]
, 2014 In this dissertation we find noncommutative analogues of the coordinate rings of the unipotent radicals of the standard Borel and standard parabolic subgroups in quantum special linear groups.
Jaramillo, Andrew Cecil
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An Algorithm for Computing Ideals and Conjugacy Classes of Subalgebras of Borel Subalgebras
In this article, we present a constructive procedure for determining all ideals of the Borel subalgebra of a complex semisimple Lie algebra from its root system or, equivalently, its Dynkin diagram. The proposed algorithmic approach has been implemented in Maple.
Asghar, Nimra Sher, Azad, Hassan
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Remarks on the abelian ideals of a Borel subalgebra
, 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 ...
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The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
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Exact Borel subalgebras of path algebras of quivers of Dynkin type $\mathbb{A}$
, 2023 Hereditary algebras are quasi-hereditary with respect to any adapted partial order on the indexing set of the isomorphism classes of their simple modules.
Thuresson, Markus
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Causality in Schwinger's Picture of Quantum Mechanics. [PDF]
Entropy (Basel), 2022 Ciaglia FM +5 more
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Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]
Lett Math Phys, 2023 Botta TM.
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Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Commun Math Phys, 2023 Beem C, Nair S.
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Free Field Realisation of the Chiral Universal Centraliser. [PDF]
Ann Henri Poincare, 2023 Beem C, Nair S.
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