Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of Lie Algebras by non-Skewselfadjoint Operators in
  Hilbert Space   We study non-selfadjoint representations of a finite dimensional real Lie
algebra $\fg$. To this end we embed a non-selfadjoint representation of $\fg$
into a more complicated structure, that we call a $\fg$-operator vessel and
that is associated to an overdetermined linear conservative input/state/output
system on the corresponding simply connected Lie group $\fG$. We develop the
frequency domain theory of the system in terms of representations of $\fG$, and
introduce the joint characteristic function of a $\fg$-operator vessel which is
the analogue of the classical notion of the characteristic function of a single
non-selfadjoint operator. As the first non-commutative example, we apply the
theory to the Lie algebra of the $ax+b$ group, the group of affine
transformations of the line.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org