Higher-dimensional algebra

Results: 30



#Item
11Algebraic topology / Cohomology / Higher-dimensional algebra / Chern–Simons theory / K-theory / Characteristic class / Gauge theory / Alexander Grothendieck / Jacob Lurie / Abstract algebra / Physics / Mathematics

Research Statement Urs Schreiber ∗ †

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Source URL: dl.dropboxusercontent.com

Language: English
12Number theory / Modular arithmetic / Analytic number theory / Class field theory / Symbol / Artin reciprocity law / Frobenius endomorphism / Valuation / Modular form / Abstract algebra / Mathematics / Algebraic number theory

A GROSS-ZAGIER FORMULA FOR QUATERNION ALGEBRAS OVER TOTALLY REAL FIELDS EYAL Z. GOREN & KRISTIN E. LAUTER Abstract. We prove a higher dimensional generalization of Gross and Zagier’s theorem on the factorization of dif

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Source URL: eprint.iacr.org

Language: English - Date: 2011-12-08 21:38:03
13Diagram / Functors / Limit / Duality / Coproduct / Function / Morphism / Valuation / Pushout / Category theory / Mathematics / Abstract algebra

arXiv:math/0306223v1 [math.CT] 13 JunCategory Theory and Higher Dimensional Algebra: potential descriptive tools in neuroscience∗ Timothy Porter†

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Source URL: arxiv.org

Language: English - Date: 2008-02-01 08:32:57
14Quantum field theory / Loop quantum gravity / Higher-dimensional algebra / Quantum spacetime / Topological quantum field theory / Spin network / Gauge theory / Topological order / Causal sets / Physics / Mathematical physics / Theoretical physics

John C. Baez Contact Information Department of Mathematics University of California

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Source URL: math.ucr.edu

Language: English - Date: 2014-05-06 06:05:08
15Crystallography / Group theory / Euclidean geometry / Lattice / Square lattice / Brillouin zone / Integer lattice / Reciprocal lattice / Leech lattice / Geometry / Abstract algebra / Lattice points

Lattice Green’s Functions of the Higher-Dimensional Face-Centered Cubic Lattices Christoph Koutschan MSR-INRIA Joint Centre, Orsay, France November 7

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Source URL: algo.inria.fr

Language: English - Date: 2011-11-08 08:20:48
16Category theory / Higher category theory / Homotopy theory / Algebraic topology / Algebraic structures / Groupoid / Crossed module / Higher-dimensional algebra / Group action / Abstract algebra / Algebra / Mathematics

GAP package authors’ workshop, Braunschweig, [removed]Computational Higher-Dimensional Algebra packages at Bangor

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Source URL: www.maths.bangor.ac.uk

Language: English - Date: 2007-09-21 12:17:11
17Singular value decomposition / Multivariate statistics / Matrix theory / Functional analysis / Principal component analysis / Two-dimensional singular value decomposition / Higher-order singular value decomposition / Eigenvalues and eigenvectors / Singular value / Algebra / Linear algebra / Mathematics

N-Dimensional Principal Component Analysis Hongchuan YU and Jian J. ZHANG NCCA, Bournemouth University Abstract In this paper, we first briefly introduce the multidimensional Principal Component Analysis (PCA) techniques

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Source URL: eprints.bournemouth.ac.uk

Language: English - Date: 2010-07-28 12:35:21
18Visual effects / Dimension / Geometric topology / 3D computer graphics / Abstract algebra / Four-dimensional space / Manifold / 3D modeling / Combinatorial map / Mathematics / Topology / Geometry

Manipulating higher dimensional spatial information

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Source URL: www.agile-online.org

Language: English - Date: 2013-05-06 15:36:24
19Mathematical logic / Conceptual system / Algebra / Theory / Mathematician / Emmy Noether / Mathematical analysis / Philosophy of mathematics / Areas of mathematics / Mathematics / Science / Category theory

Higher-Dimensional Category Theory The architecture of mathematics Eugenia Cheng November 2000

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Source URL: cheng.staff.shef.ac.uk

Language: English - Date: 2006-10-26 07:29:37
20Functors / Diagram / Limit / Duality / Function / Coproduct / Cone / Morphism / Commutative property / Mathematics / Category theory / Mathematical analysis

Category Theory and Higher Dimensional Algebra: potential descriptive tools in neuroscience∗ Timothy Porter† Ronald Brown

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2013-02-16 17:57:26
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