Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf algebra actions on strongly separable extensions of depth two   We bring together ideas in analysis of Hopf *-algebra actions on II_1
subfactors of finite Jones index and algebraic characterizations of Frobenius,
Galois and cleft Hopf extensions to prove a non-commutative algebraic analogue
of the classical theorem: a finite field extension is Galois iff it is
separable and normal. Suppose N < M is a separable Frobenius extension of
k-algebras split as N-bimodules with a trivial centralizer C_M(N). Let M_1 :=
End(M)_N and M_2 := End(M_1)_M be the endomorphism algebras in the Jones tower
N < M < M_1 < M_2. We show that under depth 2 conditions on the second
centralizers A := C_{M_1}(N) and B : = C_{M_2}(M) the algebras A and B are
semisimple Hopf algebras dual to one another and such that M_1 is a smash
product of M and A, and that M is a B-Galois extension of N.

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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg