Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on the cortex of two-step nilpotent Lie algebras   In this paper, we construct an example of a family of $4d$-dimensional
two-step nilpotent Lie algebras $(\frak g_d)_{d\geq 2}$ so that the cortex of
the dual of each $\frak g_d$ is a projective algebraic set. More precisely, we
show that the cortex of each dual $\frak g_d^*$ of $\frak g_d$ is the zero set
of a homogeneous polynomial of degree $d$. This example is a generalization of
one given in "Irreducible representations of locally compact groups that cannot
be Hausdorff separated from the identity representation" by "{\sc M.E.B. Bekka,
and E. Kaniuth}".

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol