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Standard monomial bases and geometric consequences for certain rings of invariants

✍ Scribed by Lakshmibai, V. ;Shukla, P.


Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
262 KB
Volume
116
Category
Article
ISSN
0370-0089

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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 m