Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The crystal commutor and Drinfeld's unitarized R-matrix   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. Henriques and Kamnitzer defined another commutor which
also gives U_q(g) representations the structure of a coboundary category. We
show that a particular case of Henriques and Kamnitzer's construction agrees
with Drinfeld's commutor. We then describe the action of Drinfeld's commutor on
a tensor product of two crystal bases, and explain the relation to the crystal
commutor.

14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc