http://dbpedia.org/ontology/abstract
|
This is a glossary for the terminology app … This is a glossary for the terminology applied in the mathematical theories of Lie groups and Lie algebras. For the topics in the representation theory of Lie groups and Lie algebras, see Glossary of representation theory. Because of the lack of other options, the glossary also includes some generalizations such as quantum group. Notations: Throughout the glossary, denotes the inner product of a Euclidean space E and denotes the rescaled inner producte E and denotes the rescaled inner product
|
http://dbpedia.org/ontology/thumbnail
|
http://commons.wikimedia.org/wiki/Special:FilePath/Finite_Dynkin_diagrams.svg?width=300 +
|
http://dbpedia.org/ontology/wikiPageExternalLink
|
https://books.google.com/books%3Fid=kuEjSb9teJwC&q=Victor%20G.%20Kac&pg=PP1 +
, https://books.google.com/books%3Fid=7AHsSUrooSsC&pg=PA3%7Ctitle=Alg%C3%A8bres +
|
http://dbpedia.org/ontology/wikiPageID
|
62157107
|
http://dbpedia.org/ontology/wikiPageLength
|
23526
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
1106589544
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Nathan_Jacobson +
, http://dbpedia.org/resource/Semisimple_Lie_algebra +
, http://dbpedia.org/resource/Invariant_convex_cone +
, http://dbpedia.org/resource/Cartan_matrix +
, http://dbpedia.org/resource/Weyl_group +
, http://dbpedia.org/resource/Lie_algebra_extension +
, http://dbpedia.org/resource/Cartan_subalgebra +
, http://dbpedia.org/resource/Compact_Lie_group +
, http://dbpedia.org/resource/Adjoint_representation_of_a_Lie_group +
, http://dbpedia.org/resource/Claudio_Procesi +
, http://dbpedia.org/resource/E8_%28mathematics%29 +
, http://dbpedia.org/resource/Cartan_criterion_for_solvability +
, http://dbpedia.org/resource/Wilhelm_Killing +
, http://dbpedia.org/resource/Dynkin_diagrams +
, http://dbpedia.org/resource/Fundamental_Weyl_chamber +
, http://dbpedia.org/resource/Basis_%28linear_algebra%29 +
, http://dbpedia.org/resource/Generalized_Cartan_matrix +
, http://dbpedia.org/resource/Lie_group_homomorphism +
, http://dbpedia.org/resource/Index_of_a_Lie_algebra +
, http://dbpedia.org/resource/Levi_decomposition +
, http://dbpedia.org/resource/Coroot +
, http://dbpedia.org/resource/Category:Lie_algebras +
, http://dbpedia.org/resource/Special_linear_algebra +
, http://dbpedia.org/resource/Coxeter_group +
, http://dbpedia.org/resource/Casimir_invariant +
, http://dbpedia.org/resource/Langlands_decomposition +
, http://dbpedia.org/resource/Affine_Lie_algebra +
, http://dbpedia.org/resource/Karin_Erdmann +
, http://dbpedia.org/resource/Reductive_Lie_algebra +
, http://dbpedia.org/resource/Harish-Chandra_homomorphism +
, http://dbpedia.org/resource/Coxeter_number +
, http://dbpedia.org/resource/Quantum_group +
, http://dbpedia.org/resource/Nilpotent_cone +
, http://dbpedia.org/resource/Nilpotent_ideal +
, http://dbpedia.org/resource/Lie_algebra_homomorphism +
, http://dbpedia.org/resource/E6_%28mathematics%29 +
, http://dbpedia.org/resource/Kac%E2%80%93Moody_algebra +
, http://dbpedia.org/resource/Nilpotent_element +
, http://dbpedia.org/resource/Harold_Scott_MacDonald_Coxeter +
, http://dbpedia.org/resource/%C3%89lie_Cartan +
, http://dbpedia.org/resource/Borel_subalgebra +
, http://dbpedia.org/resource/E7_%28mathematics%29 +
, http://dbpedia.org/resource/File:Carl_Jacobi.jpg +
, http://dbpedia.org/resource/Bilinearity +
, http://dbpedia.org/resource/Inner_product +
, http://dbpedia.org/resource/Algebra_over_a_field +
, http://dbpedia.org/resource/Claude_Chevalley +
, http://dbpedia.org/resource/Cambridge_University_Press +
, http://dbpedia.org/resource/Abelian_Lie_group +
, http://dbpedia.org/resource/Traceless +
, http://dbpedia.org/resource/Center_of_a_group +
, http://dbpedia.org/resource/Mathematical +
, http://dbpedia.org/resource/Reductive_group +
, http://dbpedia.org/resource/Complex_reflection_group +
, http://dbpedia.org/resource/Highest_weight_module +
, http://dbpedia.org/resource/Bruhat_decomposition +
, http://dbpedia.org/resource/Glossary +
, http://dbpedia.org/resource/En_%28Lie_algebra%29 +
, http://dbpedia.org/resource/G2_%28mathematics%29 +
, http://dbpedia.org/resource/Harish-Chandra +
, http://dbpedia.org/resource/Killing_form +
, http://dbpedia.org/resource/%28B%2C_N%29_pair +
, http://dbpedia.org/resource/Regular_element_of_a_Lie_algebra +
, http://dbpedia.org/resource/Kirillov_character_formula +
, http://dbpedia.org/resource/Derived_algebra_of_a_Lie_algebra +
, http://dbpedia.org/resource/File:Finite_Dynkin_diagrams.svg +
, http://dbpedia.org/resource/Descending_central_series +
, http://dbpedia.org/resource/Borel-Bott-Weil_theorem +
, http://dbpedia.org/resource/Positive_root +
, http://dbpedia.org/resource/Parabolic_subalgebra +
, http://dbpedia.org/resource/Orthogonal_algebra +
, http://dbpedia.org/resource/Iff +
, http://dbpedia.org/resource/Tits_cone +
, http://dbpedia.org/resource/F4_%28mathematics%29 +
, http://dbpedia.org/resource/Norwegian_mathematician +
, http://dbpedia.org/resource/File:Portrett_av_Sophus_Lie.jpg +
, http://dbpedia.org/resource/Solvable_Lie_group +
, http://dbpedia.org/resource/Representation_of_Lie_algebras +
, http://dbpedia.org/resource/Algebraically_closed_field +
, http://dbpedia.org/resource/Ascending_central_series +
, http://dbpedia.org/resource/Stiefel_diagram +
, http://dbpedia.org/resource/Lie_group%E2%80%93Lie_algebra_correspondence +
, http://dbpedia.org/resource/Root_of_a_semisimple_Lie_algebra +
, http://dbpedia.org/resource/Weyl_chamber +
, http://dbpedia.org/resource/Jacobi_identity +
, http://dbpedia.org/resource/Exceptional_Lie_algebra +
, http://dbpedia.org/resource/Lie_group +
, http://dbpedia.org/resource/Maximal_torus +
, http://dbpedia.org/resource/Symplectic_algebra +
, http://dbpedia.org/resource/Exponential_map_%28Lie_group%29 +
, http://dbpedia.org/resource/Root_system +
, http://dbpedia.org/resource/Ideal_%28Lie_algebra%29 +
, http://dbpedia.org/resource/Radical_of_a_Lie_group +
, http://dbpedia.org/resource/Highest_weight +
, http://dbpedia.org/resource/Simply_laced_group +
, http://dbpedia.org/resource/Analytic_subgroup +
, http://dbpedia.org/resource/Serre%27s_theorem_on_a_semisimple_Lie_algebra +
, http://dbpedia.org/resource/Lie_algebra +
, http://dbpedia.org/resource/Weyl_character_formula +
, http://dbpedia.org/resource/Ado%27s_theorem +
, http://dbpedia.org/resource/Group_analysis_of_differential_equations +
, http://dbpedia.org/resource/Simple_Lie_group +
, http://dbpedia.org/resource/Cartan_decomposition +
, http://dbpedia.org/resource/Eigenvector +
, http://dbpedia.org/resource/Armand_Borel +
, http://dbpedia.org/resource/Langlands_dual +
, http://dbpedia.org/resource/Real_form +
, http://dbpedia.org/resource/Affine_Weyl_group +
, http://dbpedia.org/resource/Lie_groups +
, http://dbpedia.org/resource/Abelian_Lie_algebra +
, http://dbpedia.org/resource/Parabolic_subgroup +
, http://dbpedia.org/resource/Radical_of_a_Lie_algebra +
, http://dbpedia.org/resource/Adjoint_representation_of_a_Lie_algebra +
, http://dbpedia.org/resource/Automorphism_of_a_Lie_algebra +
, http://dbpedia.org/resource/Verma_module +
, http://dbpedia.org/resource/Nilpotent_Lie_algebra +
, http://dbpedia.org/resource/Simple_Lie_algebra +
, http://dbpedia.org/resource/Cartan_subgroup +
, http://dbpedia.org/resource/Toral_Lie_algebra +
, http://dbpedia.org/resource/Category:Glossaries_of_mathematics +
, http://dbpedia.org/resource/Unitarian_trick +
, http://dbpedia.org/resource/Borel_subgroup +
, http://dbpedia.org/resource/Solvable_Lie_algebra +
, http://dbpedia.org/resource/Quantized_enveloping_algebra +
, http://dbpedia.org/resource/Carl_Gustav_Jacob_Jacobi +
, http://dbpedia.org/resource/Iwasawa_decomposition +
, http://dbpedia.org/resource/Maximal_compact_subgroup +
, http://dbpedia.org/resource/Clebsch%E2%80%93Gordan_coefficients +
, http://dbpedia.org/resource/Semisimple_Lie_group +
, http://dbpedia.org/resource/Simple_root_%28root_system%29 +
, http://dbpedia.org/resource/Glossary_of_representation_theory +
, http://dbpedia.org/resource/Cartan%27s_criterion +
, http://dbpedia.org/resource/Chevalley_group +
, http://dbpedia.org/resource/Lie%27s_theorem +
, http://dbpedia.org/resource/Root_datum +
, http://dbpedia.org/resource/Sophus_Lie +
, http://dbpedia.org/resource/Generalized_Verma_module +
, http://dbpedia.org/resource/Chevalley_basis +
, http://dbpedia.org/resource/Finite_field +
, http://dbpedia.org/resource/Generalized_Kac%E2%80%93Moody_algebra +
, http://dbpedia.org/resource/Nilpotent_Lie_group +
, http://dbpedia.org/resource/Alternating_map +
, http://dbpedia.org/resource/Theorem_of_the_highest_weight +
, http://dbpedia.org/resource/Hermann_Weyl +
, http://dbpedia.org/resource/E7%C2%BD_%28Lie_algebra%29 +
, http://dbpedia.org/resource/Reflection_group +
|
http://dbpedia.org/property/content
|
Classification of simple Lie algebras
|
http://dbpedia.org/property/no
|
5
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Cite_book +
, http://dbpedia.org/resource/Template:Isbn +
, http://dbpedia.org/resource/Template:Citation +
, http://dbpedia.org/resource/Template:Term +
, http://dbpedia.org/resource/Template:Defn +
, http://dbpedia.org/resource/Template:Glossary +
, http://dbpedia.org/resource/Template:Glossary_end +
, http://dbpedia.org/resource/Template:Reflist +
, http://dbpedia.org/resource/Template:ISBN +
, http://dbpedia.org/resource/Template:Lie_groups +
, http://dbpedia.org/resource/Template:Compact_ToC +
, http://dbpedia.org/resource/Template:Short_description +
, http://dbpedia.org/resource/Template:Harvid +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Glossaries_of_mathematics +
, http://dbpedia.org/resource/Category:Lie_algebras +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Glossary_of_Lie_groups_and_Lie_algebras?oldid=1106589544&ns=0 +
|
http://xmlns.com/foaf/0.1/depiction
|
http://commons.wikimedia.org/wiki/Special:FilePath/Finite_Dynkin_diagrams.svg +
, http://commons.wikimedia.org/wiki/Special:FilePath/Carl_Jacobi.jpg +
, http://commons.wikimedia.org/wiki/Special:FilePath/Portrett_av_Sophus_Lie.jpg +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Glossary_of_Lie_groups_and_Lie_algebras +
|
owl:sameAs |
http://www.wikidata.org/entity/Q5571867 +
, http://dbpedia.org/resource/Glossary_of_Lie_groups_and_Lie_algebras +
, https://global.dbpedia.org/id/4kErQ +
|
rdfs:comment |
This is a glossary for the terminology app … This is a glossary for the terminology applied in the mathematical theories of Lie groups and Lie algebras. For the topics in the representation theory of Lie groups and Lie algebras, see Glossary of representation theory. Because of the lack of other options, the glossary also includes some generalizations such as quantum group. Notations: Throughout the glossary, denotes the inner product of a Euclidean space E and denotes the rescaled inner producte E and denotes the rescaled inner product
|
rdfs:label |
Glossary of Lie groups and Lie algebras
|