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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.

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

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 Notebook (.pdf)Source (.nb)CreatedLast ModifiedSummary
1 index source 2020-01-31 06:08:21 2020-02-03 03:50:07  
2 UnexpectCyclicVerification source 2020-01-23 10:35:57 2021-02-25 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/ .

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  1. Studied 2020-02-04 03:50:19: [2002.00697] An Unexpected Cyclic Symmetry of Iu_n.
  2. Studied 2020-02-04 08:18:51: [math-0503224] Allen Knutson, Paul Zinn-Justin- A scheme related to the Brauer loop model.
  3. Studied 2020-02-11 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 2020-02-11 15:14:34: Editorial Manager(R).

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


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[2002.00697] An Unexpected Cyclic Symmetry of Iu_n.url   [2002.03395] Michae"l Bulois, Nicolas Ressayre- On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra.url   Editorial Manager(R).url   ExpectedAndUnexpected.fig   ExpectedAndUnexpected.pdf   ExpectedAndUnexpected.pdf_t   icon.png   index.html   index.m   index.nb   [math-0503224] Allen Knutson, Paul Zinn-Justin- A scheme related to the Brauer loop model.url   picins.sty   Review1-1.pdf   Review1-2.txt   Review1-3.pdf   Review2-1.pdf   Review2-2.pdf   Rhombus.png   UnexpectCyclicVerification.nb   UnexpectCyclicVerification.pdf   UnexpectedCyclic-AsSubmitted-200214.tex   UnexpectedCyclic.aux   UnexpectedCyclic.pdf   UnexpectedCyclic.synctex   UnexpectedCyclic.tex   WordCloud.png