Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation theory of (modified) Reflection Equation Algebra of
  GL(m|n) type   Let R: V x V -> V x V be a Hecke type solution of the quantum Yang-Baxter
equation (a Hecke symmetry). Then, the Hilbert-Poincre' series of the
associated R-exterior algebra of the space V is a ratio of two polynomials of
degree m (numerator) and n (denominator). Assuming R to be skew-invertible, we
define a rigid quasitensor category SW(V) of vector spaces, generated by the
space V and its dual V*, and compute certain numerical characteristics of its
objects. Besides, we introduce a braided bialgebra structure in the modified
Reflection Equation Algebra, associated with R, and equip objects of the
category SW(V) with an action of this algebra. In the case related to the
quantum group U_q(sl(m)), we consider the Poisson counterpart of the modified
Reflection Equation Algebra and compute the semiclassical term of the pairing,
defined via the categorical (or quantum) trace.

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The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
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: cmp-lg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th