Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical techniques for the N-dimensional Quantum Euclidean Spaces   We briefly report our application of a version of noncommutative geometry to
the quantum Euclidean space $R^N_q$, for any $N \ge 3$; this space is covariant
under the action of the quantum group $SO_q(N)$, and two covariant differential
calculi are known on it. More precisely, we describe how to construct in a
Cartan `moving-frame formalism' the metric, two covariant derivatives, the
Dirac operator, the frame, the inner derivations dual to the frame elements,
for both of these calculi. The components of the frame elements in the basis of
differentials provide a `local realization' of the
Faddeev-Reshetikhin-Takhtadjan generators of $U_q^{\pm}(so(N))$.

3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an