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 )
نویسندگان
چکیده
منابع مشابه
The 3 × 3 × 3 Hyperdeterminant as a Polynomial in the Fundamental Invariants for SL3(C) × SL3(C) × SL3(C)
We briefly review previous work on the invariant theory of 3 × 3 × 3 arrays. We then recall how to generate arrays of arbitrary size m1 × · · · × mk with hyperdeterminant 0. Our main result is an explicit formula for the 3 × 3 × 3 hyperdeterminant as a polynomial in the fundamental invariants I6, I9, I12 for the action of the Lie group SL3(C)× SL3(C)× SL3(C). We apply our calculations to Nurmie...
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ژورنال
عنوان ژورنال: Mathematics in Computer Science
سال: 2014
ISSN: 1661-8270,1661-8289
DOI: 10.1007/s11786-014-0186-9