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This is the construction / computation page for my joint paper with Roland van der Veen, An Unexpected Cyclic Symmetry of $I{\mathfrak u}_n$ (PDF here).

Abstract. We find and discuss an unexpected (to us) order $n$ cyclic group of automorphisms of the Lie algebra $I{\mathfrak u}_n:={\mathfrak u}_n\ltimes{\mathfrak u}_n^\ast$, where ${\mathfrak u}_n$ is the Lie algebra of upper triangular $n\times n$ matrices. Our results also extend to $gl_{n+}^\epsilon$, a "solvable approximation" of $gl_n$, as defined within.

Archive  

ExpectedAndUnexpected.pdf   Review1-1.pdf   Review1-3.pdf   Review2-1.pdf   Review2-2.pdf   Review3-1.pdf   UnexpectCyclicVerification.pdf   UnexpectedCyclic.pdf   /   Review1-2.txt  

<< Mathematica Notebooks >>

	Notebook (.pdf)	Source (.nb)	Created	Last Modified	Summary
1	index	source	Sun 17 Mar 2024 11:29:21	Mon 3 Feb 2020 03:50:07
2	UnexpectCyclicVerification	source	Sun 17 Mar 2024 11:29:21	Thu 25 Feb 2021 21:14:05	This is a feel-good verification notebook for the paper "An Unexpected Cyclic Symmetry of $Iu_n$" by Dror Bar-Natan and Roland van der Veen, written only to ascertain that the paper contains no calculation errors. It is available web-only at http://drorbn.net/UnexpectedCyclic, and is not a part of the paper itself. Continues pensieve://2020-01/ .

<< Links >>

1. Studied Tue 4 Feb 2020 03:50:19: [2002.00697] An Unexpected Cyclic Symmetry of Iu_n.
2. Studied Tue 4 Feb 2020 08:18:51: [math-0503224] Allen Knutson, Paul Zinn-Justin- A scheme related to the Brauer loop model.
3. Studied Tue 11 Feb 2020 04:41:45: [2002.03395] Michae"l Bulois, Nicolas Ressayre- On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra.
4. Studied Tue 11 Feb 2020 15:14:34: Editorial Manager(R).
5. Studied Thu 16 Mar 2023 21:10:21: SpringerLink- An Unexpected Cyclic Symmetry of $$I{-mathfrak u}_n$$ .

<< Images >>

<< Other Files >>

ExpectedAndUnexpected.fig   ExpectedAndUnexpected.pdf_t   picins.sty   UnexpectedCyclic-AsSubmitted-200214.tex   UnexpectedCyclic.aux   UnexpectedCyclic.synctex   UnexpectedCyclic.tex  

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