Invariants of finite and infinite groups generated by reflections
From MaRDI portal
Publication:1915331
DOI10.1007/BF02365194zbMath0845.20035MaRDI QIDQ1915331
Publication date: 15 August 1996
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
invariant algebrasfinite groupsreductive groupsactionsfinite linear groupsoblique reflectionsgeometric theory of invariants
Reflection and Coxeter groups (group-theoretic aspects) (20F55) Classical groups (algebro-geometric aspects) (14L35) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)
Related Items
Uses Software
Cites Work
- Eulidean hypersurfaces with reflection properties
- An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
- Comment on ``Euclidean hypersurfaces with reflection properties
- The semiregular polytopes
- On a certain invariant of a finite unitary reflection group
- Reflection subgroups of Coxeter systems
- The fixed algebra of a group generated by reflections is not always free
- Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections
- Four icosahedra can meet at a point
- Geometry of algebraic surfaces with symmetries
- Construction of invariants
- Special algebraic surfaces with an infinite set of planes of oblique symmetry
- Relative invariants of the polynomial rings over type \(A_ r\), \(\widetilde A_ r\) quivers
- Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma{}}\) of exceptional linear Lie groups \(G\). III: \(G=E_ 8\)
- Automorphisms of order 4 of the simply connected compact Lie group \(E_ 6\)
- Invariants of finite reflection groups
- A note on subgroups generated by reflections in Coxeter groups
- The computer calculation of Lie point symmetries of large systems of differential equations
- Killing and the Coxeter transformation of Kac-Moody algebras
- A Remark on Finitely Presented Infinite Dimensional Algebras
- The Weyl orbits of G2, F4, E6and E7
- Basic sets of invariant polynomials for finite reflection groups
- Geometrical and physical outlook on the cross product of two quaternions
- Generalized Quotients in Coxeter Groups
- $\mathrm{SO}(2)$ invariants of a set of $2 \times 2$ matrices.
- Invariant Theory
- Is every quartic a conic of conics?
- Centers of Centralizers in Reductive Algebraic Groups
- Polynomial Invariant Theory and Taylor Series
- ON BÉZOUT'S THEOREM
- The Extreme Projections of the Regular Simplex
- Fonctions symétriques et changements de bases
- Finding the Finite Groups of Symmetries of the Sphere
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Invariants of finite and infinite groups generated by reflections