Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Approach by Representation of Algebras for Decoherence-Free Subspaces   The aim of this paper is to present a general algebraic formulation for the
Decoherence-Free Subspaces (DFSs). For this purpose, we initially generalize
some results of Pauli and Artin about semisimple algebras. Then we derive
orthogonality theorems for algebras analogous to finite groups. In order to
build the DFSs we consider the tensor product of Clifford algebras and left
minimal ideals. Furthermore, we show that standard applications of group theory
in quantum chemistry can be obtained in our formalism. Advantages and some
perspectives are also discussed.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio