PD Dr Bertfried Fauser
Research Fellow
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Note: The relevant version of all papers is the published one.

See also ResearcherID: or the arXiv provided list.

preprints

  • On parallelizing the Clifford algebra product for CLIFFORD

    Rafal Ablamowicz, B. Fauser: extended abstract, AGACSE 2012, La Rochelle, 10pp

  • Using periodicity theorems for computations in higher dimesnional Clifford algebras

    Rafal Ablamowicz, B. Fauser: extended abstract, AGACSE 2012, La Rochelle, 10pp

  • Some graphical aspects of Frobenius structures

    to appear in `Categorical information flow in physics and linguistics', E. Grefenstette, Ch. Heunen, and M. Sadrzadeh eds., Oxford University Press, 2012, 30pp

  • The Born rule as structure of spectral bundles -- extended abstract

    B. Fauser, G. Raynaud, S. J. Vickers: to appear in the EPTCS conference series for the QPL2011, Nijmegen

  • Hopf algebras, Laplace pairings and hash products: A unified approach to the decomposition of group characters

    B. Fauser, P.D. Jarvis, Ronald C. King: in preparation, 47pages

  • Knot and link invariants induced from plethystic branchings

    B. Fauser, P.D. Jarvis, Ronald C. King: in preparation

  • Hopf algebra structure of the character rings of orthogonal and symplectic groups

    B. Fauser, P.D. Jarvis, Ronald C. King: preprint January 2007, update in preparation

refereed papers

  • 2011

  • On the Transposition Anti-Involution in Real Clifford Algebras III: The Automorphism Group of the Transposition Scalar Product on Spinor Spaces

    R. Ablamowicz and B. Fauser: Linear and Multilinear Algebra, iFirst 2011, 23pp

  • On the transposition anti-involution in real Clifford algebras II: Stabilizer groups of primitive idempotents

    Rafal Ablamowicz, B. Fauser: Linear and Multilinear Algebra, 59(12), 2011, 1359-1381

  • On the transposition anti-involution in real Clifford algebras I: The transposition map

    Rafal Ablamowicz, B. Fauser: Linear and Multilinear Algebra, 59(12), 2011, 1331-1358

  • 2010

  • Plethysms, replicated Schur functions and series, with applications to vertex operators

    B. Fauser, P.D. Jarvis, Ronald C. King: J. Phys. A. Math and Theor. Vol 43, 2010, 405201, 30pp
    also available as Mathematisches Forschungsinstitut Oberwolfach (MFO) preprint

  • 2008

  • Renormalization : A number theoretical model

    Commun. Math. Phys. Vol. 277, No 3, 2008:627--641

  • 2007

  • The Dirichlet Hopf algebra of arithmetics

    B. Fauser, P.D. Jarvis: Journal of Knot Theory and its Ramifications, Vol 16, No. 4, 2007:379--438.

  • 2006

  • JPhysA39.2006.2611-2655.pdf

    Products, coproducts and singular value decomposition

    Int. J. of Theor. Phys. Vol. 45, No. 9, 2006:1718--1742

  • New branchings induced by plethysms

    B. Fauser, P.D. Jarvis, Ronald C. King, Brian G. Wybourne: J. Phys. A: Math. Gen: 39, 2006:2611--2655
    Now available on IoP-Select!

  • 2005

  • Mathematics of CLIFFORD - A Maple package for Clifford and Grassmann algebras

    Rafal Ablamowicz, B. Fauser: Adv. in Appl. Clifford Alg. 15 No. 2, 2005:157-181

  • Clifford and Grassmann Hopf algebras via the BIGEBRA package for Maple

    Rafal Ablamowicz, B. Fauser: Comp. Physics Comm. 170, 2005:115--130

  • 2004

  • Quantum field theory and Hopf algebra cohomology} [formerly `Let's twist again']

    Christian Brouder, B. Fauser, Alessandra Frabetti, Robert Oeckl: J. Phys. A: Math. Gen: 37(22) 2004:5895--5927

  • A Hopf laboratory for symmetric functions

    B. Fauser, P.D. Jarvis: J. Phys. A: Math. Gen: 37(5) 2004:1633 - 1663

  • 2003

  • Idempotents of Clifford Algebras

    R. Ablamowicz, B. Fauser, K. Podlaski, J. Rembielinski: Czech. J. Phys. vol. 53, no. 11, 2003:949-954

  • Quantum Clifford Hopf gebra for quantum field theory

    Advances in Applied Clifford Algebras 13 No. 2, 2003:115-125

  • 2001

  • Clifford geometric parametrization of inequivalent vacua

    Math. Meth. Appl. Sci. 24, 2001:885--912

  • On the Hopf-algebraic origin of Wick normal-ordering

    J. Phys. A: Math. Gen., 34, 2001:105--115

  • Projective Relativity: Present Status and Outlook

    GRG, 33, 2001:875--887

  • Equivalence of Daviau's, Hestenes' and Parra's formulations of real Dirac theory

    Int. J. Theor. Phys. Vol. 40(1), 2001:441--453

  • Clifford Hopf gebra for two dimensional space

    B. Fauser, Zbigniew Oziewicz: Miscellanea Algebraica, 2(1), 2001:31--42

  • 2000

  • On the relation of Manin's quantum plane and quantum Clifford algebras

    Czech. J. Phys. Vol. 50, No.1, 2000, 1221--1228

  • Vertex functions and generalized normal-ordering by triple systems in non-linear spinor field models

    Adv. Appl. Clifford Alg. 10(2), 2000:173--192

  • 1999

  • Hecke algebra representations within Clifford geometric algebras of multivectors

    J. Phys. A: Math. Gen: 32 1999:1919--1936

  • 1998

  • On an easy transition from operator dynamics to generating functionals by Clifford algebras

    J. Math. Phys 39(9) 1998:4928--4947

  • 1996

  • Vertex Normalordering as a Consequence of Nonsymmetric Bilinear Forms in Clifford Algebras

    J. Math. Phys. 37(1) 1996:72--83

  • Clifford Algebraic Remark on the Mandelbrot Set of Two-Component Number Systems

    Adv. in Appl. Clifford Alg. 6(1), 1996:1--26

  • 1993

  • Composite Particle Theory in Quantum Electrodynamics

    Harald Stumpf, B. Fauser, Winfried Pfister: Z. Naturforsch. 48a, 1993:765--776

    • books and book chapters

    For books, see the page Books / Scripts / Software Documentation

    For theses, see the page Books / Scripts / Software Documentation

    For software documentation, see the page Books / Scripts / Software Documentation

    • 2001

    • Grade free product formulae from Graßmann Hopf gebras

      Pleanry talk, ICCA6, Cookecville 2001, in
      ``Clifford Algebras and their Applications in Mathematical Physics'', Rafal Ablamowicz Ed., Birkhäuser, Boston 2003, pp. 281--306

    • 2000

    • On the Decomposition of Clifford Algebras of Arbitrary Bilinear Form

      B. Fauser, Rafal Ablamowicz: in
      in ``Clifford Algebras and their Applications in Mathematical Physics'', R. Ablamowicz, B. Fauser Eds., Birkhäuser Boston 2000, 341--366

    • Hecke Algebra Representations in Ideals Generated by q-Young Clifford Idempotents

      Rafal Ablamowicz, B. Fauser: in
      ``Clifford Algebras and their Applications in Mathematical Physics'', R. Ablamowicz, B. Fauser Eds., Birkhäuser Boston 2000, 245--268

    refereed conference papers

    • 2008

    • Hopf algebras and characters of classical groups

      Ronald C. King, B. Fauser, Peter. D. Jarvis: J. of Phys. Conf. Series, Vol 104, 2008:012030, 9.

    • 2006

    • A Hopf algebraic approach to the theory of group branchings

      B. Fauser, P.D. Jarvis, Ronald C. King: in
      Symmetry, Sectroscopy and SCHUR, Proceedings of the Prof. Brian G. Wybourne Commemorative Meeting, Torun, 12-14 June 2005, Eds. R.C. King, M. Bylicki and J. Karwowski, N. Copernicus Univ. Press, Torun 2006, pp. 75-86

    • 2000

    • Regularization of non-linear spinor field models by discrete symmetries

      B. Fauser, Heinz Dehnen, in: proceedings of the GROUP23, Dubna, August 2000

    • 1999

    • Isospin from Spin by Compositeness

      B. Fauser, Heinz Dehnen, in: ``Lorentz Group, CPT, and Neutrinos'' Zacatecas, Mexico 1999, V. Dvoeglazov Ed.

    • On the relation of Clifford-Lipschitz groups to q-symmetric groups

      in: ``XXII International Colloquium on Group Theoretical Methods in Physics'', Hobart, Tasmania, July 13--19, 1998, S.P. Corney, R. Delbourgo, P.D. Jarvis Eds., International Press/Cambridge Ma. 1999 p. 413--417

    • 1998

    • Dirac theory from a field theoretic point of view

      in: ``Clifford algebras and their application in mathematical physics'', Aachen 1996, Volker Dietrich, Klaus Habetha, Gerhard Jank Eds., Kluwer Academic Publishers, Dordrecht 1998 p. 89--107

    • 1997

    • Positronium as an Example of Algebraic Composite Calculations

      B. Fauser, Harald Stumpf, in: ``International Conference on the Theory of the Electron'', Cuautitlan, Mexico, September 27--29, 1995, J. Keller, Z. Oziewicz Eds., Adv. Appl. Clifford Alg. 7(suppl.) 1997 399--418, UNAM Mexico

    book reviews

    • 3-D Spinors, Spin-Weighted Functions and their Applications

      by G. F. Torres del Castillo
      Progress in Mathematical Physics Vol 32, Birkh\"auser, Boston, 2003
      for: Zentralblatt für Mathematik

    • Quaternions, algebre de Clifford et physique relativiste

      by Patrick R. Girard
      Presses polytechniques et universitaires romandes, Lausanne, 2004
      for: Zentralblatt für Mathematik

    • Die symplektische Struktur für orthogonale Gruppen und Thetareihen als Modulformen

      by Friedhelm Emanuel Bühler
      Shaker Verlag, Aachen, 2001
      for: Zentralblatt für Mathematik

    • Tensor analysis and nonlinear thensor functions

      by Yu. I. Dimitrienko
      Kluwer Acad. Publ
      in: General Relativity and Gravitation 36(5), 2004:1233-1235

    • Clifford Algebras and Spinors

      by P. Lounesto
      Lecture Note Series 286, Cambridge Univ. Press, Cambridge, 2001, 2nd Edition
      for: Zentralblatt für Mathematik

    • Geometric Algebra -- with Applications in Science and Engineering

      by E.Bayro Corrochano, G. Sobczyk
      Birkhäuser, Boston, 2001
      for: Zentralblatt für Mathematik

    • Clifford Algebras and Spinors

      by P. Lounesto
      Lecture Note Series 239, Cambridge Univ. Press, Cambridge, 1997
      for: Zentralblatt für Mathematik

    misc

    • A Hopf algebraic approach to the theory of group branchings

      Heinz Dehnen, B. Fauser, Jürgen Tolksdorf: 2000 unpublished

    • Anholonomic Spinor Structures in Einstein Gravity

      Sergiu Vacaru, B. Fauser: 2000 unpublished

    Besonders hinter dem, was wir genau zu kennen glauben, lauert noch vieles, wovon wir nichts wissen.
    [Especially behind that what we surely trust to know, lukrs still more, we know nothing about.].

    Haruki Murakama

     
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