A combinatorial theory of Grünbaum's new regular polyhedra, Part II: Complete enumeration.
A combinatorial theory of Grünbaum's new regular polyhedra, Part I: Grünbaum's new regular polyhedra and their automorphism group.
A unified treatment of the theories of matroids with coefficients and of -matroids with coefficients.
About induced orthogonality and generalized reflections of affine coordinate plane of odd order.
Affinspiegelungen in affinen Räumen einer beliebigen Dimension ... 2
Andreev’s Theorem on hyperbolic polyhedra
In 1970, E.M.Andreev published a classification of all three-dimensional compact hyperbolic polyhedra (other than tetrahedra) having non-obtuse dihedral angles. Given a combinatorial description of a polyhedron, , Andreev’s Theorem provides five classes of linear inequalities, depending on , for the dihedral angles, which are necessary and sufficient conditions for the existence of a hyperbolic polyhedron realizing with the assigned dihedral angles. Andreev’s Theorem also shows that the resulting...
Arrangements Defined by Unitary Reflection Groups.
Automorphisms of nearly finite Coxeter groups.
Berichtigung.
Bounds for quaternionic line systems and reflection groups.
Büschel in äquiaffinen Räumen
Compact hyperbolic Coxeter -polytopes with facets.
Completely positive maps on Coxeter groups and the ultracontractivity of the q-Ornstein-Uhlenbeck semigroup
Contraction of excess fibres between the McKay correspondences in dimensions two and three
The quotient singularities of dimensions two and three obtained from polyhedral groups and the corresponding binary polyhedral groups admit natural resolutions of singularities as Hilbert schemes of regular orbits whose exceptional fibres over the origin reveal similar properties. We construct a morphism between these two resolutions, contracting exactly the excess part of the exceptional fibre. This construction is motivated by the study of some pencils of K3 surfaces appearing as minimal resolutions...
Coxeter classes of unitary reflection groups.
Der Aufbau der Kongruenzgruppe im Raum durch Spiegelungen.
Die Eigenschaften der Kegelschnitte durch Spiegelungen geäussert.
Die Eingeschaften Der Kegelschnitte Durch Spiegelungen Geáussert
Die Vierfach-Spiegelungen an Geraden.
Divisible tilings in the hyperbolic plane.