Search for "Lie algebras" in article titles:

  1. Linear Lie algebras: A linear (or "classical") Lie algebras is a Lie algebra whose elements can be represented as matrices (or linear transformations over some vector space over a field. See also: sl(n) (special linear Lie algebra) An A-series Lie algebra ... [100%] 2023-11-07 [Lie algebra]
  2. Classical Lie algebras: The classical Lie algebras are finite-dimensional Lie algebras over a field which can be classified into four types \displaystyle{ A_n }[/math], \displaystyle{ B_n }[/math], \displaystyle{ C_n }[/math] and \displaystyle{ D_n }[/math], where for \displaystyle{ \mathfrak{gl}(n) }[/math] the ... [100%] 2025-03-23 [Algebra] [Lie algebras]...
  3. Glossary of Lie algebras: This is a glossary for the terminology applied in the mathematical theories of Lie algebras. The statements in this glossary mainly focus on the algebraic sides of the concepts, without referring to Lie groups or other related subjects. [86%] 2024-01-01 [Glossaries of mathematics] [Lie algebras]...
  4. Cohomology of Lie algebras: A special case of cohomology of algebras. Let $ \mathfrak G $ be a Lie algebra over a commutative ring $ K $ with an identity, and suppose that a left $ \mathfrak G $- module $ V $ has been given, that is, a $ K $- linear representation ... (Mathematics) [86%] 2023-10-22
  5. Classification of low-dimensional real Lie algebras: This mathematics-related list provides Mubarakzyanov's classification of low-dimensional real Lie algebras, published in Russian in 1963. It complements the article on Lie algebra in the area of abstract algebra. [70%] 2023-07-23 [Lie algebras] [Mathematics-related lists]...
  6. Representation theory of semisimple Lie algebras: In mathematics, the representation theory of semisimple Lie algebras is one of the crowning achievements of the theory of Lie groups and Lie algebras. The theory was worked out mainly by E. [70%] 2024-06-03 [Lie algebras]
  7. Complex semi-simple Lie algebras and their representations: under construction In this course we learn the basics of w:complex semi-simple Lie algebras. In increasing order of details: There is plenty of lecture notes and other good references on line to suit every taste. [65%] 2023-04-10
  8. Glossary of Lie groups and Lie algebras: 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. (none) [65%] 2024-10-01 [Glossaries of mathematics] [Lie algebras]...
  9. Lie algebras, variety of: over a ring $ k $ A class $ \mathfrak V $ of Lie algebras (cf. Lie algebra) over $ k $ that satisfy a fixed system of identities. (Mathematics) [86%] 2024-01-01

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