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arXiv:0902.4266 [math.RT]AbstractReferencesReviewsResources

Relations between O(n)-invariants of several matrices

A. A. Lopatin

Published 2009-02-25, updated 2011-06-06Version 4

A linear group G<GL(n) acts on d-tuples of n x 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.

Comments: 27 pages; v4. minor typos are corrected
Categories: math.RT, math.AG, math.RA
Subjects: 16R30, 13A50
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