Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Type B analog of the Whitehouse representation   We give a Type $B$ analog of Whitehouse's lifts of the Eulerian
representations from $S_n$ to $S_{n+1}$ by introducing a family of
$B_{n}$-representations that lift to $B_{n+1}$. As in Type $A$, we interpret
these representations combinatorially via a family of orthogonal idempotents in
the Mantaci-Reutenauer algebra, and topologically as the graded pieces of the
cohomology of a certain $\mathbb{Z}_{2}$-orbit configuration space of
$\mathbb{R}^{3}$. We show that the lifted $B_{n+1}$-representations also have a
configuration space interpretation, and further parallel the Type $A$ story by
giving analogs of many of its notable properties, such as connections to
equivariant cohomology and the Varchenko-Gelfand ring.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: nlin