Some results on the crystal commutor and affine sl(n) crystals

Understand

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 describe the relationship between the crystal commutor and Drinfeld's unitarized R-matrix.
• We then give a new definition for the crystal commutor, which makes sense for any symmetrizable Kac-Moody algebra.