- SU(1,1) approach to Stokes parameters and the theory of light polarization
2016/02/29 by R. D. Mota, D. Ojeda-Guillén, M. Salazar–Ramírez +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Affine Lie algebra #Algebra over a field #Boson #Casimir effect #Casimir element #Classical limit #Coherent states #Current algebra #Ellipse #Geometry #Hyperboloid #Mathematics #Mechanical and Optical Resonators #Optics #Orbital Angular Momentum in Optics #Physics #Polarization (electrochemistry) #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Stokes parameters #hep-th #math-ph #math.MP #physics.optics #quant-ph
- On (n+1)-Hom-Lie Algebras Induced by n-Hom-Lie Algebras
2015/04/27 by Abdennour Kitouni, Abdenacer Makhlouf, Kitouni, Abdennour +3 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #17A40 #17A42 #17B30 #17B55 #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Center (category theory) #Chemistry #Cohomology #Current algebra #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Graded Lie algebra #Lie algebra #Lie conformal algebra #Mathematical Physics (math-ph) #Mathematics #Pure mathematics #Rings and Algebras (math.RA) #math-ph #math.MP #math.RA #msc:17A40 #msc:17A42 #msc:17B30 #msc:17B55
- Characterizations of the core inverse and the core partial ordering
2014/10/27 by Hongxing Wang, Xiaoji Liu · 7 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Advanced Topics in Algebra #Algebra over a field #Computer science #Core (optical fiber) #Current algebra #Geometry #Inverse #Jordan algebra #Mathematics #Matrix Theory and Algorithms #Multilinear algebra #Multilinear map #Order (exchange) #Pure mathematics
- Zhu's algebra, C2-algebra and C2-cofiniteness of parafermion vertex operator algebras
2012/07/17 by Tomoyuki Arakawa, Arakawa, Tomoyuki, Ching Hung Lam +3 · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #17B69 (Primary) 17B67 (Secondary) #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Combinatorics #Current algebra #FOS: Mathematics #Graph #Jordan algebra #Lie algebra #Lie conformal algebra #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Operator algebra #Pure mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Vertex (graph theory) #Vertex operator algebra #math.QA #math.RT #msc:17B67 #msc:17B69
- 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
- Current Algebra and Differential Geometry
2004/10/31 by Anton Alekseev, Thomas Strobl · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Current (fluid) #Current algebra #Differential (mechanical device) #Differential geometry #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematics #Physics #Pure mathematics #hep-th #math-ph #math.DG #math.MP
- Supersymmetry and homogeneity of M-theory backgrounds
2004/09/30 by José Figueroa-O'Farrill, José Figueroa-O’Farrill, Patrick Meessen +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Black Holes and Theoretical Physics #Current algebra #Homogeneity (statistics) #Homogeneous #Lie superalgebra #M-theory #Mathematical physics #Nonlinear Waves and Solitons #Particle physics #Physics #Pure mathematics #Statistical physics #Statistics #Subalgebra #Superalgebra #Supergravity #Supersymmetry #Supersymmetry algebra #Theoretical physics #hep-th #math.DG
- Structure theory of finite Lie conformal superalgebras
2004/02/12 by Davide Fattori, Victor G. Kač, Fattori, Davide +4 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Conformal field theory #Conformal map #Current algebra #FOS: Mathematics #FOS: Physical sciences #Lie conformal algebra #Lie superalgebra #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA
- The symmetry of M-theories
2003/04/30 by F. Englert, François Englert, L. Houart +5 · 3 citations
Mathematics · Physics and Astronomy · #Affine Lie algebra #Algebra over a field #Automorphism #Black Holes and Theoretical Physics #Cartan subalgebra #Cosmology and Gravitation Theories #Current algebra #Diagonal #Homogeneous space #Lie algebra #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Pure mathematics #Simple (philosophy) #String (physics) #String theory #Subalgebra #Superstring theory #Supersymmetry #Symmetry (geometry) #Theoretical physics #gr-qc #hep-th
- Differential Geometry, Lie Groups, and Symmetric Spaces
2001/06/12 by Sigurđur Helgason · 11 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
- Connections with Irreducible Holonomy Representations
2001/06/01 by Lorenz J. Schwachhöfer, Lorenz Schwachhöfer · 1 citation
Mathematics · #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Finite Group Theory Research #Holonomy #Irreducible representation #Lie algebra #Lie conformal algebra #Mathematics #Non-associative algebra #Pure mathematics #Symplectic geometry #Tensor (intrinsic definition) #Tensor product
- On revolutionizing quantum field theory with Tomita’s modular theory
2000/06/01 by H. J. Borchers · 1 citation
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Tomita–Takesaki theory #Quantum field theory #Section (typography) #Tensor product #Von Neumann architecture #Field (mathematics) #Algebra over a field #Mathematics #Theoretical physics #Von Neumann algebra #Pure mathematics #Physics #Computer science #Mathematical physics #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
- A family of affine Weyl group representations
1997/12/01 by Eric Sommers, E. Sommers · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Affine Lie algebra #Affine coordinate system #Affine geometry #Affine group #Affine hull #Affine representation #Affine space #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Cohomology #Combinatorics #Current algebra #Group (periodic table) #Hyperplane #Lie algebra #Mathematics #Pure mathematics #Verma module #Weyl group
- The radical of a vertex operator algebra
1996/08/26 by Chongying Dong, C. Dong, Dong, C. +9 · 1 citation
Chemistry · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Combinatorics #Current algebra #FOS: Mathematics #Graph #Homogeneous #Jordan algebra #Mathematical analysis #Mathematics #Operator (biology) #Operator algebra #Physics #Pure mathematics #Quantum Algebra (math.QA) #Rings, Modules, and Algebras #Subspace topology #Vertex (graph theory) #Vertex operator algebra #Zero (linguistics) #math.QA #q-alg
- Current Algebra and Bosonization in Three Dimensions
1996/02/05 by J. C. Le Guillou, J.C. Le Guillou, C. Núñez +2 · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Advanced Operator Algebra Research #Algebra over a field #Algebraic and Geometric Analysis #Bosonization #Current (fluid) #Current algebra #Point (geometry) #Quantum field theory #Spectral Theory in Mathematical Physics #hep-th
- Realizations of the Monster Lie algebra
1995/03/01 by Elizabeth Jurisich, James Lepowsky, Robert Lee Wilson +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Generalized Kac–Moody algebra #Lie algebra #Lie conformal algebra #Mathematics #Monster #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Subalgebra #Tensor (intrinsic definition)
- Realization ofU q (so(N)) within the differential algebra onR q N
1994/03/04 by Gaetano Fiore · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Differential (mechanical device) #Differential operator #Euclidean geometry #Geometry #Hopf algebra #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum algebra #Realization (probability) #hep-th #math.QA
- The fundamental series of representations of a real semisimple Lie algebra
1978/01/01 by Thomas J. Enright, Nolan R. Wallach · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Fundamental representation #Lie algebra #Mathematics #Pure mathematics #Real form #Semisimple Lie algebra #Series (stratigraphy) #Weight
- Classification of simple z-graded lie superalgebras and simple jordan superalgebras
1977/01/01 by Victor G. Kač · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #Mathematics #Simple (philosophy) #Pure mathematics #Lie superalgebra #Algebra over a field #Simple Lie group #Lie algebra #Affine Lie algebra #Current algebra
- MacDonald Identities and Euclidean Lie Algebras
1975/03/01 by R. V. Moody · 1 citation
Chemistry · Mathematics · #Molecular spectroscopy and chirality #Euclidean geometry #Mathematics #Affine Lie algebra #Affine transformation #Lie algebra #Pure mathematics #Adjoint representation of a Lie algebra #Lie conformal algebra #Algebra over a field #Current algebra #Geometry
- Operator Algebra and the Determination of Critical Indices
1969/12/22 by Leo P. Kadanoff · 1 citation
Physics and Astronomy · Economics, Econometrics and Finance · Mathematics · #Theoretical and Computational Physics #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Algebra over a field #Operator algebra #Product (mathematics) #Mathematics #Reduction (mathematics) #Operator product expansion #Operator (biology) #Linear algebra #Ising model #Current algebra #Pure mathematics #Physics #Mathematical physics #Statistical physics
- 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
- On some applications of the universal enveloping algebra of a semisimple Lie algebra
1951/01/01 by Harish-chandra Harish-Chandra · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Mathematics #Universal enveloping algebra #Algebra over a field #Lie superalgebra #Graded Lie algebra #Casimir element #Lie algebra #Semisimple Lie algebra #Pure mathematics #Lie conformal algebra #Cellular algebra #Affine Lie algebra #Algebra representation #Current algebra