Algebra group structures for dihedral group:D8
This article gives specific information, namely, algebra group structures, about a particular group, namely: dihedral group:D8.
View algebra group structures for particular groups | View other specific information about dihedral group:D8
Multiplication table (structure constants)
The algebra is a three-dimensional algebra. We can describe it by means of the following multiplication table in terms of structure constants . The multiplication table is as follows:
Verification of properties
- The algebra is associative: All products of length three or more are zero.
- The algebra is nilpotent: All products of length three or more are zero.
- The algebra group is isomorphic to dihedral group:D8: is the central element of order 2, is the order four generator of the cyclic maximal subgroup. and are reflections outside this subgroup.
Description as subalgebra of niltriangular matrix Lie algebra