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- Classification_of_Clifford_algebras abstract "In abstract algebra, in particular in the theory of nondegenerate quadratic forms on vector spaces, the structures of finite-dimensional real and complex Clifford algebras have been completely classified. In each case, the Clifford algebra is algebra isomorphic to a full matrix ring over R, C, or H (the quaternions), or to a direct sum of two such algebras, though not in a canonical way. Below it is shown that distinct Clifford algebras may be algebra isomorphic, as is the case of Cℓ2,0(R) and Cℓ1,1(R) which are both isomorphic to the ring of two-by-two matrices over the real numbers.".
- Classification_of_Clifford_algebras wikiPageID "1105488".
- Classification_of_Clifford_algebras wikiPageLength "14920".
- Classification_of_Clifford_algebras wikiPageOutDegree "56".
- Classification_of_Clifford_algebras wikiPageRevisionID "677400511".
- Classification_of_Clifford_algebras wikiPageWikiLink Abstract_algebra.
- Classification_of_Clifford_algebras wikiPageWikiLink Algebra_homomorphism.
- Classification_of_Clifford_algebras wikiPageWikiLink Artin–Wedderburn_theorem.
- Classification_of_Clifford_algebras wikiPageWikiLink Automorphism.
- Classification_of_Clifford_algebras wikiPageWikiLink Block_matrix.
- Classification_of_Clifford_algebras wikiPageWikiLink Bott_periodicity_theorem.
- Classification_of_Clifford_algebras wikiPageWikiLink Brauer_group.
- Classification_of_Clifford_algebras wikiPageWikiLink Bruhat_order.
- Classification_of_Clifford_algebras wikiPageWikiLink Canonical_form.
- Classification_of_Clifford_algebras wikiPageWikiLink Category:Clifford_algebras.
- Classification_of_Clifford_algebras wikiPageWikiLink Category:Ring_theory.
- Classification_of_Clifford_algebras wikiPageWikiLink Central_simple_algebra.
- Classification_of_Clifford_algebras wikiPageWikiLink Classical_group.
- Classification_of_Clifford_algebras wikiPageWikiLink Clifford_algebra.
- Classification_of_Clifford_algebras wikiPageWikiLink Clifford_module.
- Classification_of_Clifford_algebras wikiPageWikiLink Complex_number.
- Classification_of_Clifford_algebras wikiPageWikiLink Coxeter_element.
- Classification_of_Clifford_algebras wikiPageWikiLink Degeneracy_(mathematics).
- Classification_of_Clifford_algebras wikiPageWikiLink Dimension_(vector_space).
- Classification_of_Clifford_algebras wikiPageWikiLink Dirac_algebra.
- Classification_of_Clifford_algebras wikiPageWikiLink Direct_sum_of_modules.
- Classification_of_Clifford_algebras wikiPageWikiLink Division_algebra.
- Classification_of_Clifford_algebras wikiPageWikiLink Exterior_algebra.
- Classification_of_Clifford_algebras wikiPageWikiLink Homomorphism.
- Classification_of_Clifford_algebras wikiPageWikiLink Homotopy.
- Classification_of_Clifford_algebras wikiPageWikiLink Idempotent_element.
- Classification_of_Clifford_algebras wikiPageWikiLink Longest_element_of_a_Coxeter_group.
- Classification_of_Clifford_algebras wikiPageWikiLink Loop_space.
- Classification_of_Clifford_algebras wikiPageWikiLink Matrix_(mathematics).
- Classification_of_Clifford_algebras wikiPageWikiLink Matrix_ring.
- Classification_of_Clifford_algebras wikiPageWikiLink Metric_signature.
- Classification_of_Clifford_algebras wikiPageWikiLink Modular_arithmetic.
- Classification_of_Clifford_algebras wikiPageWikiLink Orthogonal_group.
- Classification_of_Clifford_algebras wikiPageWikiLink Orthonormal_basis.
- Classification_of_Clifford_algebras wikiPageWikiLink Pauli_matrices.
- Classification_of_Clifford_algebras wikiPageWikiLink Perfect_shuffle.
- Classification_of_Clifford_algebras wikiPageWikiLink Point_reflection.
- Classification_of_Clifford_algebras wikiPageWikiLink Product_of_rings.
- Classification_of_Clifford_algebras wikiPageWikiLink Pseudoscalar.
- Classification_of_Clifford_algebras wikiPageWikiLink Quadratic_form.
- Classification_of_Clifford_algebras wikiPageWikiLink Quaternion.
- Classification_of_Clifford_algebras wikiPageWikiLink Real_number.
- Classification_of_Clifford_algebras wikiPageWikiLink Sign_convention.
- Classification_of_Clifford_algebras wikiPageWikiLink Spacetime_algebra.
- Classification_of_Clifford_algebras wikiPageWikiLink Spin_representation.
- Classification_of_Clifford_algebras wikiPageWikiLink Symmetric_group.
- Classification_of_Clifford_algebras wikiPageWikiLink Symmetric_space.
- Classification_of_Clifford_algebras wikiPageWikiLink Unitary_group.
- Classification_of_Clifford_algebras wikiPageWikiLink Vector_space.
- Classification_of_Clifford_algebras wikiPageWikiLink Volume_form.
- Classification_of_Clifford_algebras wikiPageWikiLinkText "Classification of Clifford algebras".
- Classification_of_Clifford_algebras wikiPageWikiLinkText "Classification of Clifford algebras#Unit pseudoscalar".
- Classification_of_Clifford_algebras wikiPageWikiLinkText "classification of Clifford algebras".
- Classification_of_Clifford_algebras wikiPageWikiLinkText "classifications".
- Classification_of_Clifford_algebras wikiPageWikiLinkText "isomorphic to a matrix algebra".
- Classification_of_Clifford_algebras wikiPageWikiLinkText "structure of the corresponding Clifford algebras".
- Classification_of_Clifford_algebras wikiPageUsesTemplate Template:See_also.
- Classification_of_Clifford_algebras wikiPageUsesTemplate Template:Unreferenced.
- Classification_of_Clifford_algebras subject Category:Clifford_algebras.
- Classification_of_Clifford_algebras subject Category:Ring_theory.
- Classification_of_Clifford_algebras type Algebra.
- Classification_of_Clifford_algebras type Redirect.
- Classification_of_Clifford_algebras type Thing.
- Classification_of_Clifford_algebras comment "In abstract algebra, in particular in the theory of nondegenerate quadratic forms on vector spaces, the structures of finite-dimensional real and complex Clifford algebras have been completely classified. In each case, the Clifford algebra is algebra isomorphic to a full matrix ring over R, C, or H (the quaternions), or to a direct sum of two such algebras, though not in a canonical way.".
- Classification_of_Clifford_algebras label "Classification of Clifford algebras".
- Classification_of_Clifford_algebras seeAlso Pseudoscalar.
- Classification_of_Clifford_algebras sameAs Q662523.
- Classification_of_Clifford_algebras sameAs Classification_des_algèbres_de_Clifford.
- Classification_of_Clifford_algebras sameAs m.046f8c.
- Classification_of_Clifford_algebras sameAs Q662523.
- Classification_of_Clifford_algebras wasDerivedFrom Classification_of_Clifford_algebras?oldid=677400511.
- Classification_of_Clifford_algebras isPrimaryTopicOf Classification_of_Clifford_algebras.