Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadratic $n$-ary Hom-Nambu algebras   The purpose of this paper is to introduce and study quadratic $n$-ary
Hom-Nambu algebras, which are $n$-ary Hom-Nambu algebras with an invariant,
nondegenerate and symmetric bilinear forms that are also $\alpha$-symmetric and
$\beta$-invariant where $\alpha$ and $\beta$ are twisting maps. We provide
constructions of these $n$-ary algebras by using twisting principles, tensor
product and T*-extension. Also is discussed their connections with
representation theory and centroids. Moreover we show that one may derive from
quadratic $n$-ary Hom-Nambu algebra ones of increasingly higher arities and
that under suitable assumptions it reduces to a quadratic $(n-1)$-ary Hom-Nambu
algebra.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat