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1 April 2006 Crystals and coboundary categories
André Henriques, Joel Kamnitzer
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Duke Math. J. 132(2): 191-216 (1 April 2006). DOI: 10.1215/S0012-7094-06-13221-0

Abstract

Following an idea of A. Berenstein, we define a commutor for the category of crystals of a finite-dimensional complex reductive Lie algebra. We show that this endows the category of crystals with the structure of a coboundary category. Similarly to the role of the braid group in braided categories, a group naturally acts on multiple tensor products in coboundary categories. We call this group the cactus group and identify it as the fundamental group of the moduli space of marked, real, genus-zero stable curves

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André Henriques. Joel Kamnitzer. "Crystals and coboundary categories." Duke Math. J. 132 (2) 191 - 216, 1 April 2006. https://doi.org/10.1215/S0012-7094-06-13221-0

Information

Published: 1 April 2006
First available in Project Euclid: 16 March 2006

zbMATH: 1123.22007
MathSciNet: MR2219257
Digital Object Identifier: 10.1215/S0012-7094-06-13221-0

Subjects:
Primary: 18D10, 22E46

Rights: Copyright © 2006 Duke University Press

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Vol.132 • No. 2 • 1 April 2006
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