The Procesi–Razmyslov theorem for O(n)-invariants in prime characteristic
نویسنده
چکیده
A linear group G < GL(n) acts on d-tuples of n×n matrices by simultaneous conjugation. In [Adv. Math. 19 (1976), 306–381] Procesi established generators and relations between them for G-invariants, where G is GL(n), O(n), and Sp(n) and the characteristic of base field is zero. We continue generalization of the mentioned results to the case of positive characteristic originated by Donkin in [Invent. Math. 110 (1992), 389–401]. We investigate relations between generators for O(n)-invariants. 2000 Mathematics Subject Classification: 16R30; 13A50.
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