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- W2068195767 abstract "We present a Gröbner basis for the ideal of relations among the standard generators of the algebra of invariants of the special orthogonal group acting on k -tuples of vectors. The cases of SO 3 and SO 4 are interpreted in terms of the algebras of invariants and semi-invariants of k -tuples of 2 × 2 matrices. In particular, we present in an explicit form a Gröbner basis for the 2 × 2 matrix invariants. Finally we use a Sagbi basis to show that the algebra of SO 2 invariants is a Koszul algebra." @default.
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- W2068195767 date "2001-09-01" @default.
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- W2068195767 title "Gröbner Bases for the Rings of Special Orthogonal and 2×2 Matrix Invariants" @default.
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- W2068195767 doi "https://doi.org/10.1006/jabr.2001.8820" @default.
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