SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES
Name
2109.14517.pdf
Description
Accepted version
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498.26 KB
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Checksum (MD5)
2274c66f0a0ce17dd7cd4fcc4329d462
Author(s)
Neguț, Andrei
Date Issued
2022
Journal
Journal of the Institute of Mathematics of Jussieu
Publisher
Cambridge University Press (CUP)
Citation
Neguț, Andrei. 2022. "SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES." Journal of the Institute of Mathematics of Jussieu.
Version
Author's final manuscript
Abstract
Abstract
We define slope subalgebras in the shuffle algebra associated to a (doubled) quiver, thus yielding a factorization of the universal R-matrix of the double of the shuffle algebra in question. We conjecture that this factorization matches the one defined by [1, 18, 32, 33, 34] using Nakajima quiver varieties.
We define slope subalgebras in the shuffle algebra associated to a (doubled) quiver, thus yielding a factorization of the universal R-matrix of the double of the shuffle algebra in question. We conjecture that this factorization matches the one defined by [1, 18, 32, 33, 34] using Nakajima quiver varieties.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1017/S1474748022000184
