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- W3121334740 abstract "We briefly review previous work on the invariant theory of 3 x 3 x 3 arrays. We then recall how to generate arrays of arbitrary size m_1 x ... x m_k with hyperdeterminant 0. Our main result is an explicit formula for the 3 x 3 x 3 hyperdeterminant as a polynomial in the fundamental invariants of degrees 6, 9 and 12 for the action of the Lie group SL(3,C) x SL(3,C) x SL(3,C). We apply our calculations to Nurmiev's classification of normal forms for 3 x 3 x 3 arrays." @default.
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- W3121334740 date "2014-06-01" @default.
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- W3121334740 title "The 3 × 3 × 3 Hyperdeterminant as a Polynomial in the Fundamental Invariants for $${{SL_3(mathbb{C}) times SL_3(mathbb{C}) times SL_3(mathbb{C})}}$$ S L 3 ( C ) × S L 3 ( C ) × S L 3 ( C )" @default.
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- W3121334740 doi "https://doi.org/10.1007/s11786-014-0186-9" @default.
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