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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 | 2024-03-17 11:29:21 | 2020-02-03 03:50:07 | |
| 2 | UnexpectCyclicVerification | source | 2024-03-17 11:29:21 | 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/ . |
<< Links >>
- Studied 2020-02-04 03:50:19: [2002.00697] An Unexpected Cyclic Symmetry of Iu_n.
- Studied 2020-02-04 08:18:51: [math-0503224] Allen Knutson, Paul Zinn-Justin- A scheme related to the Brauer loop model.
- 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.
- Studied 2020-02-11 15:14:34: Editorial Manager(R).
- Studied 2023-03-16 21:10:21: SpringerLink- An Unexpected Cyclic Symmetry of $$I{-mathfrak u}_n$$.
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