Fibers of orthogonal and symplectic matrix invariants

DOI10.1080/00927870008826839zbMath0949.16021OpenAlexW2031315643MaRDI QIDQ4942356

George F. Seelinger

Publication date: 11 September 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008826839

zbMATH Keywords

matrix invariantsorthogonal invariantsirreducible componentsBrauer-Severi varietiessymplectic invariantsgeneric fibersreduced varieties

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Geometric invariant theory (14L24) Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50) Trace rings and invariant theory (associative rings and algebras) (16R30)

Cites Work

• The centers of generic division algebras with involution
• The invariant theory of \(n\times n\) matrices
• On Azumaya algebras and finite dimensional representations of rings
• Geometric Invariant Theory
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Finite-Dimensional Division Algebras over Fields

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