- A new class of distances on complex projective spaces
2023/12/05 by Rafał Bistroń, Michał Eckstein, Bistroń, Rafał +7 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Benford’s Law and Fraud Detection #Class (philosophy) #Combinatorics #Complex projective space #Computer science #Differential geometry #Discrete mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry #Mathematical Physics (math-ph) #Mathematics #Perspective (graphical) #Physics #Point (geometry) #Projective geometry #Projective space #Projective test #Pure mathematics #Quantum #Quantum Physics (quant-ph) #Quantum mechanics #Simplex #Space (punctuation)
- Real-projective-plane hybrid-order topological insulator realized in phononic crystals
2023/11/28 by Pengtao Lai, Jien Wu, Lai, Pengtao +17 · 5 citations
Engineering · Mathematics · Physics and Astronomy · #Brillouin zone #Combinatorics #Complex projective space #Condensed matter physics #FOS: Physical sciences #Geometry #Geophysics and Sensor Technology #Homogeneous space #Mathematics #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Optics #Physics #Projective plane #Projective space #Projective test #Pure mathematics #Real projective plane #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #Torus
- Fixed-domain curve counts for blow-ups of projective space
2023/03/06 by Alessio Cela, Cela, Alessio, Carl Lian +1 · 6 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Cohomology #Combinatorics #Commutative Algebra and Its Applications #Complex projective space #Computer science #Discrete mathematics #Domain (mathematical analysis) #FOS: Mathematics #Fano plane #Genus #Mathematical analysis #Mathematics #Projective space #Projective test #Pure mathematics #Space (punctuation)
- Generalized Projective Representations for sl(n+1)
2010/06/27 by Yufeng Zhao, Xiaoping Xu, Zhao, Yufeng +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #(g,K)-module #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Complex projective space #FOS: Mathematics #FOS: Physical sciences #Faithful representation #Functor #Fundamental representation #Induced representation #Irreducible representation #Lie algebra #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Polynomial #Projective representation #Projective space #Projective test #Pure mathematics #Quaternionic projective space #Representation Theory (math.RT) #Representation theory #Tensor product #Trivial representation #math-ph #math.MP #math.RT
- Cubic Partial Cubes from Simplicial Arrangements
2006/09/07 by David Eppstein · 2 citations
Engineering · Computer Science · Mathematics · #graph theory and CDMA systems #Advanced Graph Theory Research #Finite Group Theory Research #Mathematics #Combinatorics #Cube (algebra) #Simplicial complex #Construct (python library) #Plane (geometry) #Real projective plane #Projective plane #Projective test #Pure mathematics #Projective space #Geometry #Computer science #Complex projective space
- A Fake Projective Plane with an order 7 automorphism
2005/05/16 by JongHae Keum, Keum, JongHae · 1 citation
Mathematics · #14J29 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Betti number #Blocking set #Complex projective space #Cover (algebra) #Dimension (graph theory) #Duality (order theory) #FOS: Mathematics #Fano plane #Geometric and Algebraic Topology #Geometry #Line at infinity #Mathematics #Order (exchange) #Plane (geometry) #Plane curve #Projective plane #Projective space #Projective test #Pure mathematics #Real projective plane #Real projective space #Surface (topology) #math.AG #math.AT #msc:14J29
- Bending Flows for Sums of Rank One Matrices
2005/02/01 by H. Flaschka, Hermann Flaschka, John Millson +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Combinatorics #Complex projective space #Integrable system #Mathematics #Moment map #Nonlinear Waves and Solitons #Projective space #Projective test #Projective unitary group #Pure mathematics #Quantum #Quotient #Rank (graph theory) #Semiclassical physics #Symplectic geometry #Symplectic representation #Unitary group #Unitary state
- Sylvester–Gallai Theorems for Complex Numbers and Quaternions
2004/03/31 by Noam Elkies, Noam D. Elkies, Lou M. Pretorius +2 · 1 citation
Computer Science · Engineering · Mathematics · #Combinatorics #Complex projective space #Computational Geometry and Mesh Generation #Computer science #Configuration space #Discrete mathematics #Geometry #Line (geometry) #Mathematics #Mathematics and Applications #Physics #Point (geometry) #Projective line #Projective space #Projective test #Pure mathematics #Quaternion #Quaternionic projective space #Real projective line #Set (abstract data type) #Space (punctuation) #Topology (electrical circuits) #graph theory and CDMA systems #math.CO #math.MG #msc:52C10 #msc:52C35
- On the homotopy types of compact Kähler and complex projective manifolds
2003/12/01 by Claire Voisin · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Complex dimension #Complex projective space #Dimension (graph theory) #Geometry and complex manifolds #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy sphere #Kodaira dimension #Kähler manifold #Manifold (fluid mechanics) #Mathematics #Projective space #Projective test #Pure mathematics #Regular homotopy #Simply connected space #Topology (electrical circuits) #Type (biology) #math.AG #math.SG #n-connected
- A characterization of constant isotropic immersions by circles
2003/07/01 by Sadahiro Maeda · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Characterization (materials science) #Complex projective space #Computer science #Constant (computer programming) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Isotropy #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Physics #Projective space #Projective test #Pure mathematics
- Cycle indices of linear, affine, and projective groups
1997/09/01 by Harald Fripertinger · 1 citation
Computer Science · Materials Science · Mathematics · #Affine group #Affine space #Affine transformation #Coding theory and cryptography #Combinatorics #Complex projective space #Discrete mathematics #Finite Group Theory Research #Finite field #General linear group #Isometry (Riemannian geometry) #Mathematics #Projective linear group #Projective space #Projective test #Pure mathematics #Symmetric group #Synthesis and properties of polymers #Vector space
- Random matrix products and measures on projective spaces
1983/06/01 by H. Furstenberg, Hillel Fürstenberg, Yuri Kifer +1 · 22 citations
Mathematics · #Algebra over a field #Combinatorics #Complex projective space #Computer science #Discrete mathematics #Markov chain #Mathematics #Matrix (chemical analysis) #Projective space #Projective test #Pure mathematics #Random Matrices and Applications #Random matrix #Space (punctuation) #Statistics #Stochastic processes and statistical mechanics #advanced mathematical theories
- Unitary representations of some infinite dimensional groups
1981/09/01 by Graeme Segal · 9 citations
Mathematics · #(g,K)-module #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Class (philosophy) #Complex projective space #Construct (python library) #Fundamental representation #Geometry #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Induced representation #Irreducible representation #Lie algebra #Lie group #Mapping class group #Mathematical physics #Mathematics #Maximal torus #Physics #Projective representation #Projective space #Projective test #Projective unitary group #Pure mathematics #Representation theory of SU #Special unitary group #Torus #Unitary group #Unitary representation #Unitary state
- Calabi's conjecture and some new results in algebraic geometry
1977/05/01 by Shing–Tung Yau · 10 citations
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory #Differential geometry #Mathematics #Algebraic geometry #Manifold (fluid mechanics) #Conjecture #Complex projective space #Curvature #Pure mathematics #Differential (mechanical device) #Geometry #Algebraic number #Projective geometry #Space (punctuation) #Sectional curvature #Ricci curvature #Projective space #Algebra over a field #Scalar curvature #Physics #Mathematical analysis #Computer science #Projective test
- Linear representations of projective planes in projective spaces
1966/07/01 by R. H. Bruck, R.H Brück, R. C. Bose +1 · 1 citation
Engineering · Mathematics · #Algebraic geometry #Blocking set #Collineation #Complex projective space #Fano plane #Finite Group Theory Research #Finite geometry #Geometry #Mathematics #Mathematics and Applications #Pencil (optics) #Projective geometry #Projective plane #Projective space #Projective test #Pure mathematics #Quaternionic projective space #Real projective plane #graph theory and CDMA systems
- Hermitian Varieties in a Finite Projective Space PG(N, q2)
1966/01/01 by R. C. Bose, I. M. Chakravarti · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Combinatorics #Complex projective space #Discrete mathematics #Finite Group Theory Research #Finite field #Hermitian matrix #Mathematics #Prime (order theory) #Prime power #Projective space #Projective test #Pure mathematics #Quadric
- Vector Bundles and Projective Modules
1962/11/01 by Richard G. Swan · 2 citations
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #Mathematics #Vector bundle #Pure mathematics #Complex projective space #Vector space #Homomorphism #Projective space #Hausdorff space #Topology (electrical circuits) #Combinatorics #Discrete mathematics #Projective test
- Prime Power Representations Of Finite Linear Groups
1956/01/01 by Robert Steinberg · 2 citations
Mathematics · #Finite Group Theory Research #Graph theory and applications #Mathematics #Unimodular matrix #Projective unitary group #Prime power #Classical group #Prime (order theory) #Schur multiplier #Group (periodic table) #Projective linear group #Pure mathematics #Unitary state #Symplectic group #Group of Lie type #Covering groups of the alternating and symmetric groups #Classification of finite simple groups #Simple group #Non-abelian group #Projective test #Symplectic geometry #Simple (philosophy) #Projective space #Combinatorics #Cyclic group #Group theory #Complex projective space #Abelian group #Lie group
- Ovals In a Finite Projective Plane
1955/01/01 by Beniamino Segre · 9 citations
Mathematics · Engineering · #Finite Group Theory Research #graph theory and CDMA systems #Mathematics and Applications #Mathematics #Projective plane #Conic section #Projective space #Real projective plane #Projective line #Blocking set #Finite geometry #Pure mathematics #Dimension (graph theory) #Finite field #Prime (order theory) #Order (exchange) #Integer (computer science) #Fano plane #Complex projective space #Combinatorics #Projective test #Geometry