Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections

DOI10.1007/BF01091738zbMath0592.51008MaRDI QIDQ1075592

V. F. Ignatenko

Publication date: 1984

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

zbMATH Keywords

surveypolyhedrabibliographyregular polyhedraskew reflectionsbasic invariants of reflection groupsdiameter theory of algebraic surfacesGossetorthogonal reflections

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Polyhedra and polytopes; regular figures, division of spaces (51M20) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15) Other algebraic groups (geometric aspects) (14L40) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (5)

Basic invariants of finite reflection groups ⋮ Invariants of finite and infinite groups generated by reflections ⋮ Figures that are invariant with respect to certain infinite transformation groups ⋮ On the stationary motions in a Newtonian field of force of a body that admits of regular polyhedron symmetry groups ⋮ Geometric theory of invariants of groups generated by reflections

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