Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Classical_group> ?p ?o }
- Classical_group abstract "In mathematics, the classical groups are defined as the special linear groups over the reals R, the complex numbers C and the quaternions H together with special automorphism groups of symmetric or skew-symmetric bilinear forms and Hermitian or skew-Hermitian sesquilinear forms defined on real, complex and quaternionic finite-dimensional vector spaces. Of these, the complex classical Lie groups are four infinite families of Lie groups that together with the exceptional groups exhaust the classification of simple Lie groups. The compact classical groups are compact real forms of the complex classical groups. The finite analogues of the classical groups are the classical groups of Lie type. The term "classical group" was coined by Hermann Weyl, it being the title of his 1939 monograph The Classical Groups.The classical groups form the deepest and most useful part of the subject of linear Lie groups. Most types of classical groups find application in classical and modern physics. A few examples are the following. The rotation group SO(3) is a symmetry of Euclidean space and all fundamental laws of physics, the Lorentz group O(3,1) is a symmetry group of spacetime of special relativity. The special unitary group SU(3) is the symmetry group of quantum chromodynamics and the symplectic group Sp(m) finds application in hamiltonian mechanics and quantum mechanical versions of it.".
- Classical_group wikiPageExternalLink books?id=AfYZAQAAIAAJ.
- Classical_group wikiPageID "10172878".
- Classical_group wikiPageLength "47230".
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- Classical_group wikiPageRevisionID "669636131".
- Classical_group wikiPageWikiLink Algebraic_group.
- Classical_group wikiPageWikiLink Algebraic_groups.
- Classical_group wikiPageWikiLink Associative_algebra.
- Classical_group wikiPageWikiLink Automorphism.
- Classical_group wikiPageWikiLink Automorphism_group.
- Classical_group wikiPageWikiLink Bilinear.
- Classical_group wikiPageWikiLink Bilinear_form.
- Classical_group wikiPageWikiLink Category:Lie_groups.
- Classical_group wikiPageWikiLink Classification_of_finite_simple_groups.
- Classical_group wikiPageWikiLink Compact_real_form.
- Classical_group wikiPageWikiLink Complex_number.
- Classical_group wikiPageWikiLink Complex_numbers.
- Classical_group wikiPageWikiLink Complexification.
- Classical_group wikiPageWikiLink Degenerate_bilinear_form.
- Classical_group wikiPageWikiLink Determinant.
- Classical_group wikiPageWikiLink Division_ring.
- Classical_group wikiPageWikiLink Emil_Artin.
- Classical_group wikiPageWikiLink Euclidean_space.
- Classical_group wikiPageWikiLink Exceptional_Lie_groups.
- Classical_group wikiPageWikiLink Exceptional_group.
- Classical_group wikiPageWikiLink Exponential_map_(Lie_theory).
- Classical_group wikiPageWikiLink Field_(mathematics).
- Classical_group wikiPageWikiLink Finite_field.
- Classical_group wikiPageWikiLink General_linear_group.
- Classical_group wikiPageWikiLink General_orthogonal_group.
- Classical_group wikiPageWikiLink General_symplectic_group.
- Classical_group wikiPageWikiLink Group_of_Lie_type.
- Classical_group wikiPageWikiLink Groups_of_Lie_type.
- Classical_group wikiPageWikiLink Hamiltonian_mechanics.
- Classical_group wikiPageWikiLink Hermann_Weyl.
- Classical_group wikiPageWikiLink Indefinite_orthogonal_group.
- Classical_group wikiPageWikiLink Lie_algebra.
- Classical_group wikiPageWikiLink Lie_group.
- Classical_group wikiPageWikiLink Lorentz_group.
- Classical_group wikiPageWikiLink Mathematics.
- Classical_group wikiPageWikiLink Matrix_group.
- Classical_group wikiPageWikiLink Maximal_compact_subgroup.
- Classical_group wikiPageWikiLink Module_(algebra).
- Classical_group wikiPageWikiLink Module_(mathematics).
- Classical_group wikiPageWikiLink Non-degenerate.
- Classical_group wikiPageWikiLink Orthogonal_group.
- Classical_group wikiPageWikiLink Pin_group.
- Classical_group wikiPageWikiLink Power_series.
- Classical_group wikiPageWikiLink Projective_general_linear_group.
- Classical_group wikiPageWikiLink Projective_linear_group.
- Classical_group wikiPageWikiLink Projective_orthogonal_group.
- Classical_group wikiPageWikiLink Projective_special_linear_group.
- Classical_group wikiPageWikiLink Projective_special_orthogonal_group.
- Classical_group wikiPageWikiLink Projective_special_unitary_group.
- Classical_group wikiPageWikiLink Projective_symplectic_group.
- Classical_group wikiPageWikiLink Projective_unitary_group.
- Classical_group wikiPageWikiLink Quantum_chromodynamics.
- Classical_group wikiPageWikiLink Quantum_mechanics.
- Classical_group wikiPageWikiLink Quaternion.
- Classical_group wikiPageWikiLink Real_form.
- Classical_group wikiPageWikiLink Real_form_(Lie_theory).
- Classical_group wikiPageWikiLink Real_number.
- Classical_group wikiPageWikiLink Root_system.
- Classical_group wikiPageWikiLink Rotation_group.
- Classical_group wikiPageWikiLink SO(n).
- Classical_group wikiPageWikiLink SU(n).
- Classical_group wikiPageWikiLink Semi-bilinear_form.
- Classical_group wikiPageWikiLink Sesquilinear_form.
- Classical_group wikiPageWikiLink Simple_Lie_group.
- Classical_group wikiPageWikiLink Skew_symmetric_form.
- Classical_group wikiPageWikiLink Sp(n).
- Classical_group wikiPageWikiLink Spacetime.
- Classical_group wikiPageWikiLink Special_linear_group.
- Classical_group wikiPageWikiLink Special_orthogonal_group.
- Classical_group wikiPageWikiLink Special_relativity.
- Classical_group wikiPageWikiLink Special_unitary_group.
- Classical_group wikiPageWikiLink Spin_group.
- Classical_group wikiPageWikiLink Spinor_norm.
- Classical_group wikiPageWikiLink Springer-Verlag.
- Classical_group wikiPageWikiLink Springer_Science+Business_Media.
- Classical_group wikiPageWikiLink Sylvesters_law_of_inertia.
- Classical_group wikiPageWikiLink Symplectic_group.
- Classical_group wikiPageWikiLink The_Classical_Groups.
- Classical_group wikiPageWikiLink Unitary_group.
- Classical_group wikiPageWikiLink Vector_space.
- Classical_group wikiPageWikiLink Vladimir_L._Popov.
- Classical_group wikiPageWikiLink Vladimir_Leonidovich_Popov.
- Classical_group wikiPageWikiLink Wilhelm_Killing.
- Classical_group wikiPageWikiLink Élie_Cartan.
- Classical_group wikiPageWikiLink File:Hermann_Weyl_ETH-Bib_Portr_00890.jpg.
- Classical_group wikiPageWikiLinkText "Classical group".
- Classical_group wikiPageWikiLinkText "Classical group#standardrepresentation".
- Classical_group wikiPageWikiLinkText "classical Lie algebra".
- Classical_group wikiPageWikiLinkText "classical Lie groups".
- Classical_group wikiPageWikiLinkText "classical algebraic groups".
- Classical_group wikiPageWikiLinkText "classical group".
- Classical_group wikiPageWikiLinkText "classical orthogonal group".
- Classical_group wikiPageWikiLinkText "compact classical group".
- Classical_group wikiPageWikiLinkText "here".