Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Higher Transvectants are Redundant   Let A, B denote generic binary forms, and let u_r = (A,B)_r denote their r-th
transvectant in the sense of classical invariant theory. In this paper we
classify all the quadratic syzygies between the u_r. As a consequence, we show
that each of the higher transvectants u_r, r>1, is redundant in the sense that
it can be completely recovered from u_0 and u_1. This result can be
geometrically interpreted in terms of the incomplete Segre imbedding. The
calculations rely upon the Cauchy exact sequence of SL_2-representations, and
the notion of a 9-j symbol from the quantum theory of angular momentum. We give
explicit computational examples for SL_3, g_2 and S_5 to show that this result
has possible analogues for other categories of representations.

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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org