Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On classification of dynamical r-matrices   Using recent results of P. Etingof and A. Varchenko on the Classical
Dynamical Yang-Baxter equation, we reduce the classification of dynamical
r-matrices r on a commutative subalgebra l of a Lie algebra g to a purely
algebraic problem under some technical conditions on the symmetric part of r.
Using this, we then classify all non skew-symmetric dynamical r-matrices when g
is a simple Lie algebra and l a commutative subalgebra containing a regular
semisimple element. This partially answers a question in [EV] q-alg/9703040 and
generalizes the Belavin-Drinfeld classification of constant r-matrices. This
classification is similar and in some sense simpler than the Belavin-Drinfeld
classification.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an