Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free Extensions and Jordan type   Free extensions of commutative Artinian algebras were introduced by T. Harima
and J. Watanabe. The Jordan type of a multiplication map $m$ by a nilpotent
element of an Artinian algebra is the partition determining the sizes of the
blocks in a Jordan matrix for $m$. We show that a free extension of the
Artinian algebra $A$ with fibre $B$ is a deformation of the usual tensor
product. This has consequences for the generic Jordan types of $A,B$ and $C$,
showing that the Jordan type of $C$ is at least that of the usual tensor
product in the dominance order. We give applications to algebras of relative
coinvariants of linear group actions on a polynomial ring.

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The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: econ