# zbMATH — the first resource for mathematics

## Fauser, Bertfried

Compute Distance To:
 Author ID: fauser.bertfried Published as: Fauser, Bertfried; Fauser, B. External Links: ORCID
 Documents Indexed: 41 Publications since 1996, including 3 Books Reviewing Activity: 87 Reviews
all top 5

#### Co-Authors

 17 single-authored 10 Abłamowicz, Rafał 8 Jarvis, Peter D. 6 King, Ronald C. 2 Tolksdorf, Jürgen 2 Zeidler, Eberhard 1 Brouder, Christian 1 Frabetti, Alessandra 1 Oeckl, Robert 1 Pavlović, Duško 1 Raynaud, Guillaume 1 Stumpf, Harald 1 Vickers, Steven 1 Wybourne, Brian G.
all top 5

#### Serials

 7 Advances in Applied Clifford Algebras 5 Journal of Physics A: Mathematical and General 4 Linear and Multilinear Algebra 4 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Theoretical Physics 2 Journal of Mathematical Physics 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 General Relativity and Gravitation 1 Mathematical Methods in the Applied Sciences 1 MSCS. Mathematical Structures in Computer Science 1 Journal of Knot Theory and its Ramifications 1 Czechoslovak Journal of Physics 1 Progress in Physics
all top 5

#### Fields

 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Quantum theory (81-XX) 16 Associative rings and algebras (16-XX) 9 Number theory (11-XX) 8 Combinatorics (05-XX) 8 Nonassociative rings and algebras (17-XX) 7 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 179 times in 89 Documents Cited by Year
Quantum field theory and Hopf algebra cohomology. Zbl 1062.81134
Brouder, Christian; Fauser, Bertfried; Frabetti, Alessandra; Oeckl, Robert
2004
Mathematics of Clifford – a Maple package for Clifford and Graßmann algebras. Zbl 1099.65520
Ablamowicz, Rafal; Fauser, Bertfried
2005
On the transposition anti-involution in real Clifford algebras. I: The transposition map. Zbl 1393.15029
Abłamowicz, Rafał; Fauser, Bertfried
2011
On the Hopf algebraic origin of Wick normal ordering. Zbl 1033.81060
Fauser, Bertfried
2001
On the transposition anti-involution in real Clifford algebras. II: Stabilizer groups of primitive idempotents. Zbl 1393.15030
Abłamowicz, Rafał; Fauser, Bertfried
2011
Clifford and Graßmann Hopf algebras via the BIGEBRA package for Maple. Zbl 1196.16042
Abłamowicz, Rafał; Fauser, Bertfried
2005
On the transposition anti-involution in real Clifford algebras. III: The automorphism group of the transposition scalar product on spinor spaces. Zbl 1388.15021
Abłamowicz, Rafał; Fauser, Bertfried
2012
New branching rules induced by plethysm. Zbl 1092.05073
Fauser, B.; Jarvis, P. D.; King, R. C.; Wybourne, B. G.
2006
A Hopf laboratory for symmetric functions. Zbl 1044.05067
Fauser, Bertfried; Jarvis, P. D.
2004
Vertex normal ordering as a consequence of nonsymmetric bilinear forms in Clifford algebras. Zbl 0861.15031
Fauser, Bertfried
1996
Clifford geometric parameterization of inequivalent vacua. Zbl 0990.15017
Fauser, Bertfried
2001
On an easy transition from operator dynamics to generating functionals by Clifford algebras. Zbl 0935.81039
Fauser, Bertfried
1998
Clifford algebraic remark on the Mandelbrot set of two-component number systems. Zbl 0861.15030
Fauser, Bertfried
1996
On the relation of Manin’s quantum plane and quantum Clifford algebras. Zbl 1051.15022
Fauser, Bertfried
2000
Using periodicity theorems for computations in higher dimensional Clifford algebras. Zbl 1298.65073
Abłamowicz, Rafał; Fauser, Bertfried
2014
Plethysms, replicated Schur functions and series, with applications to vertex operators. Zbl 1246.05161
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2010
Hecke algebra representations in ideals generated by $$q$$-Young Clifford idempotents. Zbl 0956.15014
Abłamowicz, Rafał; Fauser, Bertfried
2000
On the decomposition of Clifford algebras of arbitrary bilinear form. Zbl 0955.15018
Fauser, Bertfried; Abłamowicz, Rafał
2000
Hecke algebra representations within Clifford geometric algebras of multivectors. Zbl 1097.81533
Fauser, Bertfried
1999
Grade free product formulae from Grassmann-Hopf gebras. Zbl 1101.15030
Fauser, Bertfried
2004
Quantum Clifford-Hopf gebra for quantum field theory. Zbl 1169.81353
Fauser, Bertfried
2003
Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters. Zbl 1300.16033
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2014
Positronium as an example of algebraic composite calculations. Zbl 1221.81167
Fauser, Bertfried; Stumpf, Harald
1997
Clifford algebras and their applications in mathematical physics. Proceedings of the 5th conference, Ixtapa-Zihuatanejo, Mexico, June 27–July 4, 1999. Volume 1: Algebra and physics. Zbl 0940.00026
Abłamowicz, Rafał (ed.); Fauser, Bertfried (ed.)
2000
Dirac theory from a field theoretic point of view. Zbl 0897.15018
Fauser, Bertfried
1998
Equivalence of Daviau’s, Hestenes’, and Parra’s formulations of Dirac theory. Zbl 1011.81020
Fauser, Bertfried
2001
The Dirichlet Hopf algebra of arithmetics. Zbl 1124.16032
Fauser, Bertfried; Jarvis, P. D.
2007
Products, coproducts, and singular value decomposition. Zbl 1119.18007
Fauser, Bertfried
2006
On parallelizing the Clifford algebra product for CLIFFORD. Zbl 1298.65072
Abłamowicz, Rafał; Fauser, Bertfried
2014
The Hopf algebra structure of the character rings of classical groups. Zbl 1263.05115
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2013
Vertex functions and generalized normal-ordering by triple systems in nonlinear spinor field models. Zbl 1032.81018
Fauser, Bertfried
2000
Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop ‘Mathematical and physical aspects of quantum gravity’, Blaubeuren, Germany, July 28th – August 1st, 2005. Zbl 1106.83005
Fauser, Bertfried (ed.); Tolsdorf, Jürgen (ed.); Zeidler, Eberhard (ed.)
2007
Plethystic vertex operators and boson-fermion correspondences. Zbl 1355.17031
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2016
Ribbon Hopf algebras from group character rings. Zbl 1308.16027
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2014
Plethystic vertex operators and boson-fermion correspondences. Zbl 1355.17031
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2016
Using periodicity theorems for computations in higher dimensional Clifford algebras. Zbl 1298.65073
Abłamowicz, Rafał; Fauser, Bertfried
2014
Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters. Zbl 1300.16033
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2014
On parallelizing the Clifford algebra product for CLIFFORD. Zbl 1298.65072
Abłamowicz, Rafał; Fauser, Bertfried
2014
Ribbon Hopf algebras from group character rings. Zbl 1308.16027
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2014
The Hopf algebra structure of the character rings of classical groups. Zbl 1263.05115
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2013
On the transposition anti-involution in real Clifford algebras. III: The automorphism group of the transposition scalar product on spinor spaces. Zbl 1388.15021
Abłamowicz, Rafał; Fauser, Bertfried
2012
On the transposition anti-involution in real Clifford algebras. I: The transposition map. Zbl 1393.15029
Abłamowicz, Rafał; Fauser, Bertfried
2011
On the transposition anti-involution in real Clifford algebras. II: Stabilizer groups of primitive idempotents. Zbl 1393.15030
Abłamowicz, Rafał; Fauser, Bertfried
2011
Plethysms, replicated Schur functions and series, with applications to vertex operators. Zbl 1246.05161
Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C.
2010
The Dirichlet Hopf algebra of arithmetics. Zbl 1124.16032
Fauser, Bertfried; Jarvis, P. D.
2007
Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop ‘Mathematical and physical aspects of quantum gravity’, Blaubeuren, Germany, July 28th – August 1st, 2005. Zbl 1106.83005
Fauser, Bertfried; Tolsdorf, Jürgen; Zeidler, Eberhard
2007
New branching rules induced by plethysm. Zbl 1092.05073
Fauser, B.; Jarvis, P. D.; King, R. C.; Wybourne, B. G.
2006
Products, coproducts, and singular value decomposition. Zbl 1119.18007
Fauser, Bertfried
2006
Mathematics of Clifford – a Maple package for Clifford and Graßmann algebras. Zbl 1099.65520
Ablamowicz, Rafal; Fauser, Bertfried
2005
Clifford and Graßmann Hopf algebras via the BIGEBRA package for Maple. Zbl 1196.16042
Abłamowicz, Rafał; Fauser, Bertfried
2005
Quantum field theory and Hopf algebra cohomology. Zbl 1062.81134
Brouder, Christian; Fauser, Bertfried; Frabetti, Alessandra; Oeckl, Robert
2004
A Hopf laboratory for symmetric functions. Zbl 1044.05067
Fauser, Bertfried; Jarvis, P. D.
2004
Grade free product formulae from Grassmann-Hopf gebras. Zbl 1101.15030
Fauser, Bertfried
2004
Quantum Clifford-Hopf gebra for quantum field theory. Zbl 1169.81353
Fauser, Bertfried
2003
On the Hopf algebraic origin of Wick normal ordering. Zbl 1033.81060
Fauser, Bertfried
2001
Clifford geometric parameterization of inequivalent vacua. Zbl 0990.15017
Fauser, Bertfried
2001
Equivalence of Daviau’s, Hestenes’, and Parra’s formulations of Dirac theory. Zbl 1011.81020
Fauser, Bertfried
2001
On the relation of Manin’s quantum plane and quantum Clifford algebras. Zbl 1051.15022
Fauser, Bertfried
2000
Hecke algebra representations in ideals generated by $$q$$-Young Clifford idempotents. Zbl 0956.15014
Abłamowicz, Rafał; Fauser, Bertfried
2000
On the decomposition of Clifford algebras of arbitrary bilinear form. Zbl 0955.15018
Fauser, Bertfried; Abłamowicz, Rafał
2000
Clifford algebras and their applications in mathematical physics. Proceedings of the 5th conference, Ixtapa-Zihuatanejo, Mexico, June 27–July 4, 1999. Volume 1: Algebra and physics. Zbl 0940.00026
Abłamowicz, Rafał; Fauser, Bertfried
2000
Vertex functions and generalized normal-ordering by triple systems in nonlinear spinor field models. Zbl 1032.81018
Fauser, Bertfried
2000
Hecke algebra representations within Clifford geometric algebras of multivectors. Zbl 1097.81533
Fauser, Bertfried
1999
On an easy transition from operator dynamics to generating functionals by Clifford algebras. Zbl 0935.81039
Fauser, Bertfried
1998
Dirac theory from a field theoretic point of view. Zbl 0897.15018
Fauser, Bertfried
1998
Positronium as an example of algebraic composite calculations. Zbl 1221.81167
Fauser, Bertfried; Stumpf, Harald
1997
Vertex normal ordering as a consequence of nonsymmetric bilinear forms in Clifford algebras. Zbl 0861.15031
Fauser, Bertfried
1996
Clifford algebraic remark on the Mandelbrot set of two-component number systems. Zbl 0861.15030
Fauser, Bertfried
1996
all top 5

#### Cited by 120 Authors

 12 Fauser, Bertfried 10 Abłamowicz, Rafał 4 Brouder, Christian 4 Jarvis, Peter D. 4 Mestre, Ângela 3 Bekar, Murat 3 da Rocha, Roldão Jun. 3 Hitzer, Eckhard 3 Patras, Frédéric 3 Shirokov, Dmitry S. 2 Anguelova, Iana I. 2 Bytsenko, Andrei A. 2 Chaichian, Masud 2 Franchini, Silvia 2 Gentile, Antonio 2 Gu, Yingqiu 2 Oeckl, Robert 2 Rădulescu, Vicenţiu D. 2 Sorbello, Filippo 2 Sumner, Jeremy G. 2 Vassallo, Giorgio 2 Vaz, Jayme jun. 2 Vitabile, Salvatore 2 Yayli, Yusuf 2 Zhang, Binlin 1 Acus, Arturas 1 Aguiar, Marcelo 1 Arcodía, Marcos R. A. 1 Balankin, Alexander S. 1 Bernardini, Alex E. 1 Bory Reyes, Juan 1 Charleston, Michael A. 1 Cheng, Tao 1 Crompton, Peter R. 1 Dargys, Adolfas 1 Du, Zhenhong 1 Ebrahimi-Fard, Kurusch 1 Eid, Ahmad Hosny 1 El Haoui, Youssef 1 Ellinas, Demosthenes 1 Fahlaoui, Said 1 Falcão, Maria Irene 1 Ferrer Santos, Walter Ricardo 1 Figueroa, Héctor 1 Floquet, Sergio 1 Fu, Yongqiang 1 Ghaffarnejad, Hossein 1 Ghica, Dan R. 1 Gonçalves, Icaro 1 Grabowiecka, Zofia 1 Gracia-Bondía, José M. 1 Guan, Yong 1 Helmstetter, Jacques 1 Henselder, Peter 1 Hirshfeld, Allen C. 1 Hrdina, Jaroslav 1 Il’in, M. 1 Jermiin, Lars S. 1 Jiang, Xiaomin 1 Jing, Naihuan 1 Kamal, Alaa 1 Khovanov, Mikhail G. 1 Korepanov, Igor Germanovich 1 Kulish, Petr Petrovich 1 Lange, Alexander R. 1 Lauda, Aaron D. 1 Li, Chuanzhong 1 Li, Huilan 1 Li, Liming 1 Li, Yongdong 1 Liu, Renyi 1 Luna-Elizarrarás, María Elena 1 Lyakhovskiĭ, Vladimir Dmitrievich 1 Mackaay, Marco 1 Miralles, David 1 Miranda, Fernando 1 Molica Bisci, Giovanni 1 Moreira, Walter 1 Návrat, Aleš 1 Nie, Benzhi 1 Orlov, Aleksandr Yu. 1 Ozavsar, Muttalip 1 Patera, Jiří 1 Pinto, Eric 1 Pozo, José María 1 Prodanov, Dimiter 1 Rochon, Dominic 1 Rodrigues, Waldyr Alves jun. 1 Sako, Akifumi 1 Sangwine, Stephen J. 1 Severino, Ricardo 1 Shapiro, Michael V. 1 Shi, Zhiping 1 Soares, Maria Joana 1 Song, Wenjing 1 Spernat, Thomas 1 Stošić, Marko 1 Szabo, Richard J. 1 Szajewska, Marzena 1 Tierz, Miguel ...and 20 more Authors
all top 5

#### Cited in 33 Serials

 33 Advances in Applied Clifford Algebras 14 Journal of Mathematical Physics 4 Linear and Multilinear Algebra 3 International Journal of Geometric Methods in Modern Physics 2 International Journal of Theoretical Physics 2 Nuclear Physics. B 2 Reports on Mathematical Physics 2 Fractals 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 General Relativity and Gravitation 1 Mathematical Methods in the Applied Sciences 1 Reviews in Mathematical Physics 1 Glasgow Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Journal of Automated Reasoning 1 Aequationes Mathematicae 1 Annals of Physics 1 Journal of Knot Theory and its Ramifications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 St. Petersburg Mathematical Journal 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Annals of Combinatorics 1 The ANZIAM Journal 1 Journal of Physics A: Mathematical and Theoretical 1 International Electronic Journal of Geometry 1 São Paulo Journal of Mathematical Sciences 1 Journal of Theoretical Biology 1 Korean Journal of Mathematics
all top 5

#### Cited in 33 Fields

 41 Linear and multilinear algebra; matrix theory (15-XX) 37 Quantum theory (81-XX) 22 Associative rings and algebras (16-XX) 13 Relativity and gravitational theory (83-XX) 12 Differential geometry (53-XX) 11 Nonassociative rings and algebras (17-XX) 11 Computer science (68-XX) 9 Combinatorics (05-XX) 9 Number theory (11-XX) 7 Group theory and generalizations (20-XX) 6 Category theory; homological algebra (18-XX) 5 Functions of a complex variable (30-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX)