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Author ID: oeckl.robert Recent zbMATH articles by "Oeckl, Robert"
Published as: Oeckl, Robert; Oeckl, R.
Homepage: https://www.matmor.unam.mx/~robert/
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 48 Publications since 1999, including 1 Book and 4 Additional arXiv Preprints
Reviewing Activity: 10 Reviews
Co-Authors: 18 Co-Authors with 22 Joint Publications
279 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 390 times in 224 Documents Cited by Year
Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories. Zbl 0984.81164
Oeckl, Robert
42
2000
A “general boundary” formulation for quantum mechanics and quantum gravity. Zbl 1094.81551
Oeckl, Robert
37
2003
Twisting of quantum differentials and the Planck scale Hopf algebra. Zbl 0939.58007
Majid, Shahn; Oeckl, Robert
32
1999
General boundary quantum field theory: foundations and probability interpretation. Zbl 1210.81039
Oeckl, Robert
30
2008
Braided quantum field theory. Zbl 0994.81051
Oeckl, Robert
23
2001
Quantum field theory and Hopf algebra cohomology. Zbl 1062.81134
Brouder, Christian; Fauser, Bertfried; Frabetti, Alessandra; Oeckl, Robert
17
2004
Classification of differential calculi on \(U_q(\mathfrak b_+)\), classical limits, and duality. Zbl 0951.58009
Oeckl, Robert
12
1999
The dual of pure non-Abelian lattice gauge theory as a spin foam model. Zbl 1008.81506
Oeckl, R.; Pfeiffer, H.
12
2001
Two-dimensional quantum Yang-Mills theory with corners. Zbl 1138.81036
Oeckl, Robert
11
2008
Discrete gauge theory. From lattices to TQFT. Zbl 1159.81006
Oeckl, Robert
11
2005
Loop quantization as a continuum limit. Zbl 1096.83029
Manrique, Elisa; Oeckl, Robert; Weber, Axel; Zapata, José A.
11
2006
Holomorphic quantization of linear field theory in the general boundary formulation. Zbl 1285.81042
Oeckl, Robert
11
2012
Three-dimensional quantum supergravity and supersymmetric spin foam models. Zbl 1073.83039
Livine, Etera R.; Oeckl, Robert
10
2004
\(S\)-matrix at spatial infinity. Zbl 1328.81218
Colosi, Daniele; Oeckl, Robert
10
2008
Spin foam diagrammatics and topological invariance. Zbl 0996.83021
Girelli, Florian; Oeckl, Robert; Perez, Alejandro
9
2002
Schrödinger-Feynman quantization and composition of observables in general boundary quantum field theory. Zbl 1328.81211
Oeckl, Robert
9
2015
A positive formalism for quantum theory in the general boundary formulation. Zbl 1295.81013
Oeckl, Robert
9
2013
Affine holomorphic quantization. Zbl 1245.81287
Oeckl, Robert
8
2012
Schrödinger’s cat and the clock: Lessons for quantum gravity. Zbl 1170.83383
Oeckl, Robert
8
2003
Generalized lattice gauge theory, spin foams and state sum invariants. Zbl 1029.81055
Oeckl, Robert
7
2003
A local and operational framework for the foundations of physics. Zbl 1486.81009
Oeckl, Robert
7
2019
Free Fermi and Bose fields in TQFT and GBF. Zbl 1283.81114
Oeckl, Robert
7
2013
The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory. Zbl 1276.81115
Oeckl, Robert
6
2012
Observables in the general boundary formulation. Zbl 1246.81019
Oeckl, Robert
5
2012
States on timelike hypersurfaces in quantum field theory. Zbl 1247.53100
Oeckl, Robert
5
2005
States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory. Zbl 1164.81012
Colosi, Daniele; Oeckl, Robert
5
2009
Renormalization of discrete models without background. Zbl 1023.81505
Oeckl, Robert
5
2003
Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1462.81098
Much, Albert; Oeckl, Robert
5
2021
Combinatorics of \(n\)-point functions via Hopf algebra in quantum field theory. Zbl 1111.81121
Mestre, Ângela; Oeckl, Robert
4
2006
Generating loop graphs via Hopf algebra in quantum field theory. Zbl 1112.81081
Mestre, Ângela; Oeckl, Robert
4
2006
Introduction to braided quantum field theory. Zbl 1073.81658
Oeckl, Robert
4
2000
Towards state locality in quantum field theory: free fermions. Zbl 1386.81141
Oeckl, Robert
3
2017
Complex structures for an \(S\)-matrix of Klein-Gordon theory on AdS spacetimes. Zbl 1328.83021
Dohse, Max; Oeckl, Robert
2
2015
Complex structures for Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1510.83034
Much, Albert; Oeckl, Robert
2
2022
The quantum geometry of spin and statistics. Zbl 1079.81037
Oeckl, Robert
1
2001
The quantum geometry of supersymmetry and the generalized group extension problem. Zbl 1028.81030
Oeckl, Robert
1
2002
Coherent states in the fermionic Fock space. Zbl 1308.81110
Oeckl, Robert
1
2015
Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025
Finster, Felix; Much, Albert; Oeckl, Robert
1
2020
Locality and general vacua in quantum field theory. Zbl 1499.81014
Colosi, Daniele; Oeckl, Robert
1
2021
Coherent states in fermionic Fock-Krein spaces and their amplitudes. Zbl 1398.81123
Oeckl, Robert
1
2018
Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary. Zbl 1454.81142
Díaz-Marín, Homero G.; Oeckl, Robert
1
2018
Complex structures for Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1510.83034
Much, Albert; Oeckl, Robert
2
2022
Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes. Zbl 1462.81098
Much, Albert; Oeckl, Robert
5
2021
Locality and general vacua in quantum field theory. Zbl 1499.81014
Colosi, Daniele; Oeckl, Robert
1
2021
Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025
Finster, Felix; Much, Albert; Oeckl, Robert
1
2020
A local and operational framework for the foundations of physics. Zbl 1486.81009
Oeckl, Robert
7
2019
Coherent states in fermionic Fock-Krein spaces and their amplitudes. Zbl 1398.81123
Oeckl, Robert
1
2018
Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary. Zbl 1454.81142
Díaz-Marín, Homero G.; Oeckl, Robert
1
2018
Towards state locality in quantum field theory: free fermions. Zbl 1386.81141
Oeckl, Robert
3
2017
Schrödinger-Feynman quantization and composition of observables in general boundary quantum field theory. Zbl 1328.81211
Oeckl, Robert
9
2015
Complex structures for an \(S\)-matrix of Klein-Gordon theory on AdS spacetimes. Zbl 1328.83021
Dohse, Max; Oeckl, Robert
2
2015
Coherent states in the fermionic Fock space. Zbl 1308.81110
Oeckl, Robert
1
2015
A positive formalism for quantum theory in the general boundary formulation. Zbl 1295.81013
Oeckl, Robert
9
2013
Free Fermi and Bose fields in TQFT and GBF. Zbl 1283.81114
Oeckl, Robert
7
2013
Holomorphic quantization of linear field theory in the general boundary formulation. Zbl 1285.81042
Oeckl, Robert
11
2012
Affine holomorphic quantization. Zbl 1245.81287
Oeckl, Robert
8
2012
The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory. Zbl 1276.81115
Oeckl, Robert
6
2012
Observables in the general boundary formulation. Zbl 1246.81019
Oeckl, Robert
5
2012
States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory. Zbl 1164.81012
Colosi, Daniele; Oeckl, Robert
5
2009
General boundary quantum field theory: foundations and probability interpretation. Zbl 1210.81039
Oeckl, Robert
30
2008
Two-dimensional quantum Yang-Mills theory with corners. Zbl 1138.81036
Oeckl, Robert
11
2008
\(S\)-matrix at spatial infinity. Zbl 1328.81218
Colosi, Daniele; Oeckl, Robert
10
2008
Loop quantization as a continuum limit. Zbl 1096.83029
Manrique, Elisa; Oeckl, Robert; Weber, Axel; Zapata, José A.
11
2006
Combinatorics of \(n\)-point functions via Hopf algebra in quantum field theory. Zbl 1111.81121
Mestre, Ângela; Oeckl, Robert
4
2006
Generating loop graphs via Hopf algebra in quantum field theory. Zbl 1112.81081
Mestre, Ângela; Oeckl, Robert
4
2006
Discrete gauge theory. From lattices to TQFT. Zbl 1159.81006
Oeckl, Robert
11
2005
States on timelike hypersurfaces in quantum field theory. Zbl 1247.53100
Oeckl, Robert
5
2005
Quantum field theory and Hopf algebra cohomology. Zbl 1062.81134
Brouder, Christian; Fauser, Bertfried; Frabetti, Alessandra; Oeckl, Robert
17
2004
Three-dimensional quantum supergravity and supersymmetric spin foam models. Zbl 1073.83039
Livine, Etera R.; Oeckl, Robert
10
2004
A “general boundary” formulation for quantum mechanics and quantum gravity. Zbl 1094.81551
Oeckl, Robert
37
2003
Schrödinger’s cat and the clock: Lessons for quantum gravity. Zbl 1170.83383
Oeckl, Robert
8
2003
Generalized lattice gauge theory, spin foams and state sum invariants. Zbl 1029.81055
Oeckl, Robert
7
2003
Renormalization of discrete models without background. Zbl 1023.81505
Oeckl, Robert
5
2003
Spin foam diagrammatics and topological invariance. Zbl 0996.83021
Girelli, Florian; Oeckl, Robert; Perez, Alejandro
9
2002
The quantum geometry of supersymmetry and the generalized group extension problem. Zbl 1028.81030
Oeckl, Robert
1
2002
Braided quantum field theory. Zbl 0994.81051
Oeckl, Robert
23
2001
The dual of pure non-Abelian lattice gauge theory as a spin foam model. Zbl 1008.81506
Oeckl, R.; Pfeiffer, H.
12
2001
The quantum geometry of spin and statistics. Zbl 1079.81037
Oeckl, Robert
1
2001
Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories. Zbl 0984.81164
Oeckl, Robert
42
2000
Introduction to braided quantum field theory. Zbl 1073.81658
Oeckl, Robert
4
2000
Twisting of quantum differentials and the Planck scale Hopf algebra. Zbl 0939.58007
Majid, Shahn; Oeckl, Robert
32
1999
Classification of differential calculi on \(U_q(\mathfrak b_+)\), classical limits, and duality. Zbl 0951.58009
Oeckl, Robert
12
1999
all top 5

Cited by 238 Authors

20 Oeckl, Robert
10 Daszkiewicz, Marcin
10 Majid, Shahn
7 Szabo, Richard J.
6 Balachandran, Aiyalam P.
6 Dittrich, Bianca
6 Much, Albert
5 Bianchi, Eugenio
5 Colosi, Daniele
5 Mestre, Ângela
5 Rovelli, Carlo
5 Zapata, José Antonio
4 Brouder, Christian
4 Cherrington, J. Wade
4 Livine, Etera R.
3 Agostini, Alessandra
3 Diaz-Marin, Homero G.
3 Dohse, Max
3 Fairbairn, Winston J.
3 Finster, Felix
3 Hardy, Lucien
3 Hu, Naihong
3 Joseph, Anosh
3 Li, Yunnan
3 Lukierski, Jerzy
3 Magliaro, Elena
3 Patras, Frédéric
3 Perini, Claudio
3 Pfeiffer, Hendryk
3 Thiemann, Thomas
3 Wachter, Hartmut
3 Xiong, Rongchuan
2 Akofor, Earnest
2 Amelino-Camelia, Giovanni
2 Andruskiewitsch, Nicolás
2 Angiono, Iván Ezequiel
2 Anguelova, Iana I.
2 Arzano, Michele
2 Bahr, Benjamin
2 Beggs, Edwin J.
2 Bhowmick, Jyotishman
2 Borowiec, Andrzej Zdzisław
2 Castro Perelman, Carlos
2 Ćirić, Marija Dimitrijević
2 D’Andrea, Francesco
2 Daoud, Mohammed
2 Delcamp, Clement
2 Fauser, Bertfried
2 Freidel, Laurent
2 García Iglesias, Agustín
2 Giotopoulos, Grigorios
2 Gonera, Cezary
2 Haggard, Hal M.
2 Hamama, A.
2 Höhn, Philipp A.
2 Jarvis, Peter D.
2 Jo, Sang Gyu
2 Lanéry, Suzanne
2 Liegener, Klaus
2 Lizzi, Fedele
2 Martins, João Nuno Goncalves Faria
2 Mukhopadhyay, Sugato
2 Naaijkens, Pieter
2 Negron, Cris
2 Nikolić, Hrvoje
2 Padmanabhan, Pramod
2 Perez, Alejandro
2 Radovanović, Voja
2 Riello, Aldo
2 Sahlmann, Hanno
2 Schenkel, Alexander
2 Schmidt, Alexander
2 Tolstoĭ, Valeriĭ Nikolaevich
2 Vay, Cristian
2 Wieland, Wolfgang M.
2 Wodzisławski, Michał
1 Abe, Yasumi
1 Abłamowicz, Rafał
1 Abramov, Viktor
1 Aguado, Miguel
1 Akrami, Seyed Ebrahim
1 An, Hongli
1 Andrésson, Håkan
1 Ansel, Quentin
1 Ardenghi, Juan Sebastian
1 Asante, Seth K.
1 Aschieri, Paolo
1 Attal, Romain
1 Aziz, Ryan
1 Bagio, Dirceu
1 Barceló, Carlos
1 Barrett, John William
1 Belov, Vadim
1 Beltrán, Carlos E.
1 Benedetti, Dario
1 Benkart, Georgia McClure
1 Bojowald, Martin
1 Brádler, Kamil
1 Brain, S. J.
1 Buerschaper, Oliver
...and 138 more Authors
all top 5

Cited in 59 Serials

23 Journal of Mathematical Physics
18 International Journal of Modern Physics A
15 Nuclear Physics. B
15 Journal of Geometry and Physics
15 Journal of High Energy Physics
12 General Relativity and Gravitation
11 Modern Physics Letters A
10 Classical and Quantum Gravity
6 Communications in Mathematical Physics
6 Foundations of Physics
5 Physics Letters. B
5 Journal of Algebra
5 Living Reviews in Relativity
4 Letters in Mathematical Physics
4 New Journal of Physics
3 Reviews in Mathematical Physics
3 International Journal of Modern Physics D
3 Annales Henri Poincaré
3 International Journal of Geometric Methods in Modern Physics
3 The European Physical Journal C. Particles and Fields
2 Communications in Algebra
2 International Journal of Theoretical Physics
2 Reports on Mathematical Physics
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Journal of Pure and Applied Algebra
2 Physical Review Letters
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Physics A: Mathematical and Theoretical
1 International Journal of Modern Physics B
1 Computer Physics Communications
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Mathematische Nachrichten
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Revista de la Unión Matemática Argentina
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 MSCS. Mathematical Structures in Computer Science
1 Journal of Knot Theory and its Ramifications
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 Applied Mathematics. Series B (English Edition)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Annales Mathématiques Blaise Pascal
1 Advances in Applied Clifford Algebras
1 Journal of Mathematical Chemistry
1 Mathematical Physics, Analysis and Geometry
1 Algebras and Representation Theory
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Algebraic & Geometric Topology
1 Journal of Algebra and its Applications
1 Algebra & Number Theory
1 Banach Journal of Mathematical Analysis
1 Advances in High Energy Physics
1 International Journal of Combinatorics
1 Annalen der Physik
1 Quantum Studies: Mathematics and Foundations
all top 5

Cited in 40 Fields

164 Quantum theory (81-XX)
88 Relativity and gravitational theory (83-XX)
47 Associative rings and algebras (16-XX)
31 Global analysis, analysis on manifolds (58-XX)
30 Differential geometry (53-XX)
22 Nonassociative rings and algebras (17-XX)
16 Category theory; homological algebra (18-XX)
16 Mechanics of particles and systems (70-XX)
14 Functional analysis (46-XX)
14 Manifolds and cell complexes (57-XX)
9 Algebraic geometry (14-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Combinatorics (05-XX)
6 Group theory and generalizations (20-XX)
5 Partial differential equations (35-XX)
4 Topological groups, Lie groups (22-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Geometry (51-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 \(K\)-theory (19-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Operator theory (47-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
2 Information and communication theory, circuits (94-XX)
1 General algebraic systems (08-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year