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SHUFFLE ALGEBRAS FOR QUIVERS AND R-MATRICES

Part of: Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  22 March 2022

Andrei Neguț Open the ORCID record for Andrei Neguț [Opens in a new window]
Andrei Neguț*
Affiliation:
MIT, Department of Mathematics, 77 Mass Ave, Cambridge, MA 02139, USA Simion Stoilow Institute of Mathematics, Calea Grivitei nr. 21, 010702 Bucharest, Romania
*
andrei.negut@gmail.com
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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.

Keywords

Hall algebras of quiversshuffle algebrasR-matrices

MSC classification

Primary: 17B37: Quantum groups (quantized enveloping algebras) and related deformations
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 6 , November 2023 , pp. 2583 - 2618
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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