2009/02/25 by Artem Lopatin, A. A. Lopatin, Lopatin, A. A. · 1 citation
Mathematics · #13A50 #16R30 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.AG #math.RA #math.RT #msc:13A50 #msc:16R30
paper · pdf · doi:10.48550/arxiv.0902.4266
27 pages; v4. minor typos are corrected
openalex publication_date 2009/02/25 · arxiv created 2011/06/06 · arxiv updated 2011/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.