The fixed algebra of a group generated by reflections is not always free

DOI10.1007/BF01207570zbMath0513.20027MaRDI QIDQ1050465

Alexander E. Zalesskij

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

ring of invariantsring of polynomial functionslinear group generated by reflections

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Vector and tensor algebra, theory of invariants (15A72) Vector spaces, linear dependence, rank, lineability (15A03) Other matrix groups over fields (20H20)

Related Items (6)

Invariants of a group generated by oblique reflections in \(E^{11}\) ⋮ Invariants of finite and infinite groups generated by reflections ⋮ Some cubic surfaces with an infinite set of planes of skew-symmetry ⋮ Algebraic surfaces with an infinite set of planes of oblique symmetry. II ⋮ On the geometric invariant theory of infinite groups generated by skew reflections ⋮ Geometric theory of invariants of groups generated by reflections

Cites Work

• Invariants of groups generated by reflections or transvections
• Invariant theory
• Finite Unitary Reflection Groups

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