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math.QA2008
A half-twist type formula for the R-matrix of a symmetrizable Kac-Moody algebra
Peter Tingley
Kirillov-Reshetikhin and Levendorskii-Soibelman developed a formula for the universal R-matrix of the form R=(X^{-1} \otimes X^{-1}) Δ(X). The action of X on a representation V per…
math.QA2008★ 2 cited
Some results on the crystal commutor and affine sl(n) crystals
Peter Tingley
There are two parts to this work, which are largely independent. The first consists of a series of results concerning the crystal commutor of Henriques and Kamnitzer. We first desc…
math.QA2007★ 2 cited
The crystal commutor and Drinfeld's unitarized R-matrix
Joel Kamnitzer, Peter Tingley
Drinfeld defined a unitarized R-matrix for any quantum group U_q(g). This gives a commutor for the category of U_q(g) representations, making it into a coboundary category. Henriqu…