Invariant theory of special orthogonal groups

DOI10.2140/pjm.1995.168.207zbMath0830.15027OpenAlexW1976558042MaRDI QIDQ1901163

Chen-Bo Zhu, Eng-Chye Tan, Helmer Aslaksen

Publication date: 5 November 1995

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.168.207

zbMATH Keywords

orthogonal groupstracespolynomial invariantspolarized Pfaffiansskewsymmetric projections

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (14)

Generic \(2\times 2\) matrices with involution ⋮ Representation rings of quantum groups. ⋮ Quaternionic determinants ⋮ Generators and relations of invariants of 2 × 2 matrices ⋮ Relations between \(O(n)\)-invariants of several matrices. ⋮ There are no magnetically charged particle-like solutions of the Einstein Yang-Mills equations for models with an Abelian residual group ⋮ Non-connected gauge groups and the plethystic program ⋮ Pseudocharacters of homomorphisms into classical groups ⋮ Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices ⋮ A basic relation between invariants of matrices under the action of the special orthogonal group. ⋮ Invariants of quivers under the action of classical groups ⋮ On orthogonal and special orthogonal invariants of a single matrix of small order ⋮ Acceptable compact Lie groups ⋮ \(G\)-character varieties for \(G =\mathrm{SO}(n,\mathbb{C})\) and other not simply connected groups

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