Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitaires multiplicatifs en dimension finie et leurs sous-objets   A pre-subgroup of a multiplicative unitary $V$ on a finite dimensionnal
Hilbert space $H$ is a vector line $L$ in $H$ such that $V(L\otimes L)=L\otimes
L$. We show that there are finitely many pre-subgroups, give a Lagrange theorem
and generalize the construction of a `bi-crossed product'. Moreover, we
establish bijections between pre-subgroups and coideal subalgebras of the Hopf
algebra associated with $V$, and therefore with the intermediate subfactors of
the associated (depth two) inclusions. Finally, we show that the pre-subgroups
classify the subobjects of $(H,V)$.

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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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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: stat
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol