Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kostant invariant and special $\epsilon$-orthogonal representations
  for $\epsilon$-quadratic colour Lie algebras   Let k be a field of characteristic not two or three, let $\mathfrak{g}$ be a
finite-dimensional colour Lie algebra and let V be a finite-dimensional
representation of $\mathfrak{g}$. In this article we give various ways of
constructing a colour Lie algebra $\tilde{\mathfrak{g}}$ whose bracket in some
sense extends both the bracket of $\mathfrak{g}$ and the action of
$\mathfrak{g}$ on V. Colour Lie algebras, originally introduced by R. Ree
([Ree60]), generalise both Lie algebras and Lie superalgebras, and in those
cases our results imply many known results ([Kos99], [Kos01], [CK15], [SS15]).
For a class of representations arising in this context we show there are
covariants satisfying identities analogous to Mathews identities for binary
cubics.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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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: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics