Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bicrossproduct structure of $\kappa$-Poincare group and non-commutative
  geometry   We show that the $\kappa$-deformed Poincar\'e quantum algebra proposed for
elementary particle physics has the structure of a Hopf agebra bicrossproduct
$U(so(1,3))\cobicross T$. The algebra is a semidirect product of the classical
Lorentz group $so(1,3)$ acting in a deformed way on the momentum sector $T$.
The novel feature is that the coalgebra is also semidirect, with a backreaction
of the momentum sector on the Lorentz rotations. Using this, we show that the
$\kappa$-Poincar\'e acts covariantly on a $\kappa$-Minkowski space, which we
introduce. It turns out necessarily to be deformed and non-commutative. We also
connect this algebra with a previous approach to Planck scale physics.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph