- On Segal–Sugawara vectors and Casimir elements for classical Lie algebras
2021/01/19 by A. I. Molev, Alexander Molev · 1 citation
Mathematics · Physics and Astronomy · #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Affine Lie algebra #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Killing form #Lie algebra #Lie conformal algebra #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Simple (philosophy) #Symplectic geometry
- Generalized Lie triple derivations
2011/02/25 by Hailing Li, Ying Wang · 1 citation
Mathematics · #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Cartan subalgebra #Current algebra #Finite Group Theory Research #Graded Lie algebra #Killing form #Lie algebra #Lie conformal algebra #Mathematics #Pure mathematics #Representation of a Lie group #Simple Lie group #Subalgebra
- An Introduction to Lie Groups and Lie Algebras
2008/07/29 by Alexander Kirillov · 1 citation
Mathematics · #Advanced Algebra and Geometry #Mathematical proof #Representation of a Lie group #Lie algebra #Killing form #Subject (documents) #Fundamental representation #Algebra over a field #Mathematics #Ideal (ethics) #Adjoint representation of a Lie algebra #Simple Lie group #Point (geometry) #Lie theory #Representation theory #Lie group #Mathematics education #Computer science #Pure mathematics #Lie conformal algebra #Epistemology #Library science #Philosophy
- Metric Lie 3-algebras in Bagger-Lambert theory
2008/06/19 by Paul de Medeiros, José Figueroa-O'Farrill, Elena Méndez-Escobar · 2 citations
Mathematics · Physics and Astronomy · #Adjoint representation #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Fundamental representation #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Killing form #Lie conformal algebra #Lie group #Representation of a Lie group #Simple Lie group #hep-th #math.RT
- Differential Geometry, Lie Groups, and Symmetric Spaces
2001/06/12 by Sigurđur Helgason · 12 citations
Mathematics · #Advanced Algebra and Geometry #Mathematics #Triple system #Pure mathematics #Symmetric space #Simple Lie group #Real form #Lie theory #Killing form #Representation of a Lie group #Lie group #Algebra over a field #Adjoint representation of a Lie algebra #Affine Lie algebra #Lie conformal algebra #Current algebra
- Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra
1998/04/01 by Elizabeth Jurisich · 1 citation
Mathematics · Physics and Astronomy · #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Generalized Kac–Moody algebra #Graded Lie algebra #Kac–Moody algebra #Killing form #Lie algebra #Lie conformal algebra #Mathematics #Monster #Nonlinear Waves and Solitons #Physics #Pure mathematics #Representation of a Lie group
- Lie algebras associated with generalized Cartan matrices
1967/01/01 by Robert V. Moody, R. V. Moody · 2 citations
Computer Science · Mathematics · #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Cartan matrix #Current algebra #Kac–Moody algebra #Killing form #Lie algebra #Lie conformal algebra #Mathematics #Matrix Theory and Algorithms #Pure mathematics #Real form
- Representability of Lie Algebras and Lie Groups by Matrices
1937/04/01 by Garrett Birkhoff · 3 citations
Computer Science · Mathematics · #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Algebra over a field #Killing form #Lie algebra #Lie conformal algebra #Lie group #Mathematics #Matrix Theory and Algorithms #Pure mathematics #Representation of a Lie group #Simple Lie group