Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Root_system> ?p ?o }
- Root_system abstract "In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental in the theory of Lie groups and Lie algebras. Since Lie groups (and some analogues such as algebraic groups) and Lie algebras have become important in many parts of mathematics during the twentieth century, the apparently special nature of root systems belies the number of areas in which they are applied. Further, the classification scheme for root systems, by Dynkin diagrams, occurs in parts of mathematics with no overt connection to Lie theory (such as singularity theory). Finally, root systems are important for their own sake, as in Spectral graph theory.".
- Root_system thumbnail Root_system_A2_with_labels.png?width=300.
- Root_system wikiPageExternalLink index.php?id=11&PPN=PPN235181684_0031&DMDID=DMDLOG_0026&L=1.
- Root_system wikiPageExternalLink index.php?id=11&PPN=PPN235181684_0033&DMDID=DMDLOG_0007&L=1.
- Root_system wikiPageExternalLink index.php?id=11&PPN=PPN235181684_0034&DMDID=DMDLOG_0009&L=1.
- Root_system wikiPageExternalLink index.php?id=11&PPN=PPN235181684_0036&DMDID=DMDLOG_0019&L=1.
- Root_system wikiPageID "277087".
- Root_system wikiPageLength "37975".
- Root_system wikiPageOutDegree "130".
- Root_system wikiPageRevisionID "706062462".
- Root_system wikiPageWikiLink 1_22_polytope.
- Root_system wikiPageWikiLink 2_31_polytope.
- Root_system wikiPageWikiLink 4_21_polytope.
- Root_system wikiPageWikiLink ADE_classification.
- Root_system wikiPageWikiLink Adjoint_representation_of_a_Lie_algebra.
- Root_system wikiPageWikiLink Affine_root_system.
- Root_system wikiPageWikiLink Algebraic_group.
- Root_system wikiPageWikiLink Bijection.
- Root_system wikiPageWikiLink Cartan_matrix.
- Root_system wikiPageWikiLink Cartan_subalgebra.
- Root_system wikiPageWikiLink Category:Euclidean_geometry.
- Root_system wikiPageWikiLink Category:Lie_algebras.
- Root_system wikiPageWikiLink Category:Lie_groups.
- Root_system wikiPageWikiLink Characteristic_polynomial.
- Root_system wikiPageWikiLink Circle_group.
- Root_system wikiPageWikiLink Combinatorics.
- Root_system wikiPageWikiLink Complex_number.
- Root_system wikiPageWikiLink Congruence_(geometry).
- Root_system wikiPageWikiLink Coordinate_system.
- Root_system wikiPageWikiLink Coxeter_group.
- Root_system wikiPageWikiLink Coxeter–Dynkin_diagram.
- Root_system wikiPageWikiLink Cube.
- Root_system wikiPageWikiLink Cubic_crystal_system.
- Root_system wikiPageWikiLink Cyclic_permutation.
- Root_system wikiPageWikiLink Definite_quadratic_form.
- Root_system wikiPageWikiLink Dot_product.
- Root_system wikiPageWikiLink Dynkin_diagram.
- Root_system wikiPageWikiLink E6_(mathematics).
- Root_system wikiPageWikiLink E7_(mathematics).
- Root_system wikiPageWikiLink E8_(mathematics).
- Root_system wikiPageWikiLink E8_lattice.
- Root_system wikiPageWikiLink Euclidean_space.
- Root_system wikiPageWikiLink Eugene_Dynkin.
- Root_system wikiPageWikiLink F4_(mathematics).
- Root_system wikiPageWikiLink Field_(mathematics).
- Root_system wikiPageWikiLink G2_(mathematics).
- Root_system wikiPageWikiLink Graded_poset.
- Root_system wikiPageWikiLink Graph_(discrete_mathematics).
- Root_system wikiPageWikiLink Group_(mathematics).
- Root_system wikiPageWikiLink Group_action.
- Root_system wikiPageWikiLink Half-integer.
- Root_system wikiPageWikiLink Hexagonal_lattice.
- Root_system wikiPageWikiLink Hexagram.
- Root_system wikiPageWikiLink Hurwitz_quaternion.
- Root_system wikiPageWikiLink Hyperplane.
- Root_system wikiPageWikiLink Integer.
- Root_system wikiPageWikiLink Isometry.
- Root_system wikiPageWikiLink Isomorphism.
- Root_system wikiPageWikiLink Killing_form.
- Root_system wikiPageWikiLink Lattice_(discrete_subgroup).
- Root_system wikiPageWikiLink Lattice_(group).
- Root_system wikiPageWikiLink Lie_algebra.
- Root_system wikiPageWikiLink Lie_group.
- Root_system wikiPageWikiLink Linear_span.
- Root_system wikiPageWikiLink Linear_subspace.
- Root_system wikiPageWikiLink List_of_simple_Lie_groups.
- Root_system wikiPageWikiLink Mathematics.
- Root_system wikiPageWikiLink Mathematische_Annalen.
- Root_system wikiPageWikiLink Maximal_torus.
- Root_system wikiPageWikiLink Octahedron.
- Root_system wikiPageWikiLink Parity_(mathematics).
- Root_system wikiPageWikiLink Partially_ordered_set.
- Root_system wikiPageWikiLink Permutation.
- Root_system wikiPageWikiLink Permutation_group.
- Root_system wikiPageWikiLink Perpendicular.
- Root_system wikiPageWikiLink Plant.
- Root_system wikiPageWikiLink Reflection_(mathematics).
- Root_system wikiPageWikiLink Root_datum.
- Root_system wikiPageWikiLink Root_system.
- Root_system wikiPageWikiLink Root_system_of_a_semi-simple_Lie_algebra.
- Root_system wikiPageWikiLink Simple_Lie_group.
- Root_system wikiPageWikiLink Simply_connected_space.
- Root_system wikiPageWikiLink Singularity_theory.
- Root_system wikiPageWikiLink Spectral_graph_theory.
- Root_system wikiPageWikiLink Square_lattice.
- Root_system wikiPageWikiLink Standard_basis.
- Root_system wikiPageWikiLink Triality.
- Root_system wikiPageWikiLink Vector_space.
- Root_system wikiPageWikiLink Weight_(representation_theory).
- Root_system wikiPageWikiLink Weyl_group.
- Root_system wikiPageWikiLink Wilhelm_Killing.
- Root_system wikiPageWikiLink File:DynkinD4_labeled.png.
- Root_system wikiPageWikiLink File:DynkinE6AltOrder.svg.
- Root_system wikiPageWikiLink File:DynkinE7AltOrder.svg.
- Root_system wikiPageWikiLink File:DynkinE8AltOrder.svg.
- Root_system wikiPageWikiLink File:E6Coxeter.svg.
- Root_system wikiPageWikiLink File:E6HassePoset.svg.
- Root_system wikiPageWikiLink File:E7Petrie.svg.
- Root_system wikiPageWikiLink File:E8_graph.svg.
- Root_system wikiPageWikiLink File:F4_roots_by_24-cell_duals.svg.