Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irreducible components of varieties of representations II   The goals of this article are as follows: (1) To determine the irreducible
components of the affine varieties parametrizing the representations of $
\Lambda $ with dimension vector d, where $ \Lambda $ traces a major class of
finite dimensional algebras; (2) To generically describe the representations
encoded by the components. The target class consists of those truncated path
algebras $ \Lambda $ over an algebraically closed field K which are based on a
quiver Q without oriented cycles. The main result characterizes the irreducible
components of the representation variety in representation-theoretic terms and
provides a means of listing them from quiver and Loewy length of $ \Lambda $.
Combined with existing theory, this classification moreover yields an array of
generic features of the modules parametrized by the components, such as generic
minimal projective presentations, generic sub- and quotient modules, etc. Our
second principal result pins down the generic socle series of the modules in
the components; it does so for more general $ \Lambda $, in fact.
  The information on truncated path algebras of acyclic quivers supplements the
theory available in the special case where $ \Lambda = KQ $, filling in generic
data on the d-dimensional representations of Q with any fixed Loewy length.

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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th