Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions of the Quantum-Yang-Baxter-Equation from Symmetric Spaces   We show that for each semi-Riemannian locally symmetric space the curvature
tensor gives rise to a rational solution $r$ of the classical Yang-Baxter
equation with spectral parameter. For several Riemannian globally symmetric
spaces $M$ such as real, complex and quaternionic Grassmann manifolds we
explicitly compute solutions $R$ of the quantum Yang Baxter equations
(represented in the tangent spaces of $M$) which generalize the quantum
$R$-matrix found by Zamolodchikov and Zamolodchikov in 1979.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int