Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined Coxeter polynomials   Coxeter polynomials are important homological invariants that are defined for
a large class of finite-dimensional algebras. It is of particular interest to
develop methods to compute these polynomials. We define the notion of insertion
of a poset into a triangular algebra at a vertex of its quiver and show that
its Coxeter polynomial is controlled in a uniform way by two polynomials
attached to the poset that we call refined Coxeter polynomials. Several
properties of these polynomials are discussed. Applications include new
symmetry properties for Coxeter polynomials of ordinal sums of posets,
constructions of new algebras of cyclotomic type and interlaced towers of
algebras.

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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph