Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grassmann variables on quantum spaces   Attention is focused on antisymmetrized versions of quantum spaces that are
of particular importance in physics, i.e. two-dimensional quantum plane,
q-deformed Euclidean space in three or four dimensions as well as q-deformed
Minkowski space. For each case standard techniques for dealing with q-deformed
Grassmann variables are developed. Formulae for multiplying supernumbers are
given. The actions of symmetry generators and fermionic derivatives upon
antisymmetrized quantum spaces are calculated. The complete Hopf structure for
all types of quantum space generators is written down. From the formulae for
the coproduct a realization of the L-matrices in terms of symmetry generators
can be read off. The L-matrices together with the action of symmetry generators
determine how quantum spaces of different type have to be fused together.

10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an