A definition of the crystal commutor using Kashiwara's involution

Details A definition of the crystal commutor using Kashiwara's involution A definition of the crystal commutor using Kashiwara's involution

2006-10-31

arxiv.org/abs/math/0610952v2

Mathematics

Quantum Algebra

5 pages

Scientific paper

Henriques and Kamnitzer defined and studied a commutor for the category of
crystals of a finite dimentional complex reductive Lie algebra. We show that
the action of this commutor on highest weight elements can be expressed very
simply using Kashiwara's involution on the Verma crystal.

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