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shuffle algebras

Journal of the Institute of Mathematics of Jussieu (1)

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SHUFFLE ALGEBRAS FOR QUIVERS AND R-MATRICES
Part of
- Lie algebras and Lie superalgebras
Andrei Neguț
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 22 / Issue 6 / November 2023

Published online by Cambridge University Press:

22 March 2022, pp. 2583-2618

Print publication:

November 2023
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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.