Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Indecomposable orthogonal invariants of several matrices over a field of
  positive characteristic   We consider the algebra of invariants of $d$-tuples of $n\times n$ matrices
under the action of the orthogonal group by simultaneous conjugation over an
infinite field of characteristic $p$ different from two. It is well-known that
this algebra is generated by the coefficients of the characteristic polynomial
of all products of generic and transpose generic $n\times n$ matrices. We
establish that in case $0<p\leq n$ the maximal degree of indecomposable
invariants tends to infinity as $d$ tends to infinity. In other words, there
does not exist a constant $C(n)$ such that it only depends on $n$ and the
considered algebra of invariants is generated by elements of degree less than
$C(n)$ for any $d$. This result is well-known in case of the action of the
general linear group. On the other hand, for the rest of $p$ the given
phenomenon does not hold. We investigate the same problem for the cases of
symmetric and skew-symmetric matrices.

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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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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: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat