- On the Takai duality for Lp operator crossed products
2022/12/01 by Zhen Wang, Sen Zhu, Wang, Zhen +1 · 1 citation
Mathematics · #Abelian group #Advanced Operator Algebra Research #Algebra over a field #Combinatorics #Crossed product #Discrete mathematics #Duality (order theory) #Equivariant map #FOS: Mathematics #Group (periodic table) #Holomorphic and Operator Theory #Isomorphism (crystallography) #Mathematics #Operator (biology) #Operator Algebras (math.OA) #Operator algebra #Physics #Pure mathematics #Repressor #Spectral Theory in Mathematical Physics
- Determinants for integral forms in lattice type vertex operator algebras
2019/09/17 by Chongying Dong, Robert L. Griess · 4 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Discrete mathematics #Jordan algebra #Lattice (music) #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Operator algebra #Pure mathematics #Vertex (graph theory) #Vertex operator algebra
- Lattice-integrality of certain group-invariant integral forms in vertex operator algebras
2016/12/07 by Chongying Dong, Robert L. Griess · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Bilinear form #Combinatorics #Compact operator #Countable set #Graph #Invariant (physics) #Lattice (music) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Operator algebra #Pure mathematics #Reflexive operator algebra #Vertex (graph theory)
- Dispersion Operators Algebra and Linear Canonical Transformations
2016/08/25 by Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Randriamisy Hasimbola Damo Emile +1 · 4 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Cellular algebra #Current algebra #Filtered algebra #Linear map #Mathematics #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Operator algebra #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Universal enveloping algebra #quant-ph
- Lattice vertex algebras over fields of prime characteristic
2014/07/15 by Qiang Mu · 6 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Bilinear form #Combinatorics #Current algebra #Discrete mathematics #Jordan algebra #Lattice (music) #Mathematics #Operator algebra #Physics #Prime (order theory) #Pure mathematics #Vertex (graph theory) #Vertex model #Vertex operator algebra
- On integral forms for vertex algebras associated with affine Lie algebras and lattices
2014/01/31 by Robert McRae · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Conformal map #Current algebra #Discrete mathematics #Graph #Jordan algebra #Lie algebra #Lie conformal algebra #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Operator algebra #Pure mathematics #Vertex (graph theory) #Vertex operator algebra #math.QA #math.RT #msc:17B67 #msc:17B69
- 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
- Multinormed W∗-algebras and unbounded operators
2012/04/03 by Anar Dosi · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #Affiliated operator #Algebra over a field #Assertion #Computer science #Discrete mathematics #Hilbert space #Isometry (Riemannian geometry) #Mathematics #Operator algebra #Operator theory #Pure mathematics #Von Neumann algebra #Von Neumann architecture #Von Neumann's theorem
- The diffeomorphism constraint operator in loop quantum gravity
2011/05/03 by Alok Laddha, Madhavan Varadarajan · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Anomaly (physics) #Black Holes and Theoretical Physics #Diffeomorphism #Hilbert space #Holonomy #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Operator (biology) #Operator algebra #Quantum gravity #Regularization (linguistics) #Spin foam #gr-qc #hep-th
- The bond-algebraic approach to dualities
2011/03/31 by Emilio Cobanera, Gerardo Ortiz, Zohar Nussinov · 21 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Categorical quantum mechanics #Connection (principal bundle) #Duality (order theory) #Gauge theory #Higgs boson #Lattice (music) #Operator algebra #Quantum #Quantum many-body systems #Statistical Mechanics and Entropy #Unitary state #cond-mat.stat-mech #hep-lat #hep-th #quant-ph
- Time in Quantum Physics: From an External Parameter to an Intrinsic Observable
2009/09/30 by Romeo Brunetti, Klaus Fredenhagen, Marc Hoge · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Formalism (music) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Operator (biology) #Operator algebra #Physics #Pure mathematics #Quantum Mechanics and Applications #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #Theoretical physics #gr-qc #hep-th #math-ph #math.MP #quant-ph
- Local operator spaces, unbounded operators and multinormed C*-algebras
2008/08/13 by Anar Dosiev · 5 citations
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Banach space #Compact operator #Computer science #Discrete mathematics #Finite-rank operator #Geometry #Mathematics #Operator (biology) #Operator algebra #Pure mathematics #Regular polygon #Shift operator
- Morita equivalence of dual operator algebras
2008/05/09 by David P. Blecher, Upasana Kashyap · 10 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Dual (grammatical number) #Equivalence (formal languages) #Hilbert space #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Morita equivalence #Morita therapy #Operator algebra #Pure mathematics
- Conformal designs based on vertex operator algebras
2008/02/08 by Gerald Höhn · 5 citations
Computer Science · Mathematics · #Algebra over a field #Algebra representation #Coding theory and cryptography #Combinatorics #Conformal map #Discrete mathematics #Finite Group Theory Research #Graph #Jordan algebra #Linear subspace #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Operator (biology) #Operator algebra #Pure mathematics #Vertex (graph theory) #Vertex operator algebra
- A Morita type equivalence for dual operator algebras
2007/10/05 by G.K. Eleftherakis, George Eleftherakis · 10 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Dual (grammatical number) #Equivalence (formal languages) #Linguistics #Mathematics #Morita equivalence #Morita therapy #Operator (biology) #Operator algebra #Pure mathematics #Type (biology)
- Some Aspects of the Invariant Subspace Problem
2001/01/01 by R Enflo, Victor Lomonosov · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Algebra over a field #Banach space #Centralizer and normalizer #Combinatorics #Compact operator #Computer science #Discrete mathematics #Finite-rank operator #Holomorphic and Operator Theory #Invariant (physics) #Invariant subspace #Invariant subspace problem #Linear subspace #Mathematics #Operator (biology) #Operator algebra #Operator norm #Operator theory #Pure mathematics #Reflexive operator algebra #Transitive relation #Unbounded operator
- Expressing the operations of quantum computing in multiparticle geometric algebra
1998/01/03 by Shyamal Somaroo, Shyamal S. Somaroo, David G. Cory +1 · 2 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Arithmetic #Cellular algebra #Clifford algebra #Computational science #Computer science #Filtered algebra #Formalism (music) #Geometric algebra #Mathematics #Molecular spectroscopy and chirality #Multivector #Notation #Operator algebra #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum computer #Quantum mechanics #Theoretical physics #Universal geometric algebra #quant-ph
- The radical of a vertex operator algebra
1996/08/26 by C. Dong, Chongying 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
- Local systems of vertex operators, vertex superalgebras and modules
1996/06/01 by Hai-Sheng Li · 96 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Current algebra #Discrete mathematics #Graph #Homomorphism #Jordan algebra #Lie superalgebra #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Operator algebra #Pure mathematics #Superalgebra #Vertex (graph theory) #Vertex operator algebra
- K-Theory for Operator Algebras
1986/01/01 by Bruce Blackadar · 19 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Category theory #Cohomology #Discrete mathematics #Equivariant map #K-theory (physics) #Mathematics #Mathematics and Applications #Morita equivalence #Operator algebra #Pure mathematics #Tensor product
- An Inequality Characterizes the Trace
1979/12/01 by L. Terrell Gardner · 4 citations
Mathematics · #Adjunction #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Bounded function #Discrete mathematics #Hilbert space #Mathematical analysis #Mathematics #Norm (philosophy) #Operator algebra #Pure mathematics #Spectral Theory in Mathematical Physics #TRACE (psycholinguistics) #Triangle inequality #Unitary state
- On the cohomology of operator algebras
1978/05/01 by Alain Connes, A Connes · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Cohomology #Mathematics #Operator (biology) #Operator algebra #Pure mathematics
- 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
- Irreducible representations of operator algebras
1947/01/01 by I. E. Segal · 7 citations
Chemistry · Computer Science · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Irreducible representation #Mathematics #Matrix Theory and Algorithms #Operator (biology) #Operator algebra #Pure mathematics