Found 44 Documents (Results 1–44)
Geometry of linear algebras. (English. Russian original) Zbl 1532.15016
J. Math. Sci., New York 277, No. 5, 711-717 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 182, 3-9 (2020).
On the bundle of Clifford algebras over the space of quadratic forms. (English) Zbl 1518.15025
Reviewer: Eckhard Hitzer (Tokyo)
The geometry of spherical space form groups. 2nd edition. (English) Zbl 1395.57001
Series in Pure Mathematics 28. Singapore: World Scientific (ISBN 978-981-3220-78-2/hbk; 978-981-3220-80-5/ebook). xiii, 493 p. (2018).
Reviewer: Thomas Schick (Göttingen)
Bott periodicity, submanifolds, and vector bundles. (English) Zbl 1394.55013
Suh, Young Jin (ed.) et al., Hermitian-Grassmannian submanifolds. Daegu, Korea, July 2016. Proceedings of the 20th international workshop on Hermitian symmetric spaces and submanifolds, IWHSSS 2016, Daegu, South Korea, July 26–30, 2016. Singapore: Springer (ISBN 978-981-10-5555-3/hbk; 978-981-10-5556-0/ebook). Springer Proceedings in Mathematics & Statistics 203, 295-309 (2017).
Reviewer: Jonathan Hodgson (Swarthmore)
The relativistic Hamilton-Jacobi equation for a massive, charged and spinning particle, its equivalent Dirac equation and the de Broglie-Bohm theory. (English) Zbl 1367.81049
Equations of motion and energy-momentum 1-forms for the coupled gravitational, Maxwell and Dirac fields. (English) Zbl 1368.83030
Dirac operator and its cohomology for the quantum group \(U_q(\mathfrak{sl}_2)\). (English) Zbl 1360.81216
Notes on conservation laws, equations of motion of matter, and particle fields in Lorentzian and teleparallel de Sitter space-time structures. (English) Zbl 1357.83003
A Clifford bundle approach to the wave equation of a spin \(1/2\) fermion in the de Sitter manifold. (English) Zbl 1337.81065
The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach. 2nd edition. (English) Zbl 1345.83002
Lecture Notes in Physics 922. Cham: Springer (ISBN 978-3-319-27636-6/pbk; 978-3-319-27637-3/ebook). xvi, 587 p. (2016).
Reviewer: Hans-Jürgen Schmidt (Potsdam)
Quadric surface bundles over surfaces. (English) Zbl 1345.14046
Reviewer: Uriya First (Vancouver)
Cubic fourfolds containing a plane and a quintic del Pezzo surface. (English) Zbl 1317.14032
Reviewer: Emilia Mezzetti (Trieste)
A \(tt^*\)-bundle associated with a harmonic map from a Riemann surface into a sphere. (English) Zbl 1250.53062
Reviewer: Gabjin Yun (Yongin)
Basic bundle theory and \(K\)-cohomology invariants. With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz. (English) Zbl 1135.19001
Lecture Notes in Physics 726. Berlin: Springer (ISBN 978-3-540-74955-4/hbk). xv, 340 p. (2008).
Reviewer: Haruo Minami (Nara)
Simplicial cohomology of some semigroup algebras. (English) Zbl 1136.43001
Reviewer: Tamás Mátrai (Karlsruhe)
Clifford-valued clifforms: A geometric language for Dirac equations. (English) Zbl 0981.58028
Abłamowicz, Rafał (ed.) et al., 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. Boston, MA: Birkhäuser. Prog. Phys. 18, 135-154 (2000).
Reviewer: Bernd Ammann (Hamburg)
Spectral invariants and geometry of mapping spaces. (English) Zbl 0956.58003
Booss-Bavnbek, Bernhelm (ed.) et al., Geometric aspects of partial differential equations. Proceedings of a minisymposium on spectral invariants, heat equation approach, Roskilde, Denmark, September 18-19, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 242, 189-202 (1999).
Reviewer: Mircea Puta (Timişoara)
Riemann-Cartan-Weyl geometries, quantum diffusions and the equivalence of the free Maxwell and Dirac-Hestenes equations. (English) Zbl 0929.53050
Dirac-Hestenes spinor fields on Riemann-Cartan manifolds. (English) Zbl 0867.53074
Reviewer: J.D.Zund (Las Cruces)
Clifford analysis and Hardy 2-spaces on spheres and hyperbolae. (English) Zbl 0879.46026
Sprössig, Wolfgang (ed.) et al., Proceedings of the symposium on analytical and numerical methods in quaternionic and Clifford analysis, June 5–7, 1996, Seiffen, Germany. Freiberg: TU Bergakademie Freiberg, 153-158 (1996).
Clifford algebras and torogonal structures. (English) Zbl 0760.15031
Clifford algebras and their applications in mathematical physics, Proc. 2nd Workshop, Montpellier/Fr. 1989, Fundam. Theor. Phys. 47, 151-160 (1992).
Reviewer: K.Burian (Havířov)
Spin geometry. (English) Zbl 0688.57001
Princeton Mathematical Series. 38. Princeton, NJ: Princeton University Press. xii, 427 p. $ 55.00 (1989).
Reviewer: K.H.Mayer
The geometry of spherical space form groups. (English) Zbl 0789.57001
Series in Pure Mathematics. 7. Singapore: World Scientific. 361 p. (1989).
Reviewer: L. Maxim-Răileanu (Iaşi)
Differential geometry, gauge theories, and gravity. Paperback ed. (English) Zbl 0682.53002
Cambridge etc.: Cambridge University Press. xii, 230 p. £12.95; $ 19.95 (1989).
Markov semigroups on \(C^*\)-bundles. (English) Zbl 0694.46049
Reviewer: A.Wulfsohn
\(C^*\)-algebras of Clifford semigroups. (English) Zbl 0681.46052
Reviewer: C.Itzykson
Differential geometry, gauge theories, and gravity. (English) Zbl 0649.53001
Cambridge Monographs on Mathematical Physics. Cambridge etc.: Cambridge University Press. xii+230 p.; £30.00; $ 49.50 (1987).
Reviewer: H.Rund
Quantum field theory, Grassmannians, and algebraic curves. (English) Zbl 0636.22012
Reviewer: Sidney Scull (Downsview / Ontario)
K-théorie pour des algèbres de Banach \({\mathbb{Z}}_ 2\)-graduées. (K- theory for \({\mathbb{Z}}_ 2\)-graded Banach algebras). (French) Zbl 0606.46045
A Clifford calculus for physical field theories. (English) Zbl 0595.53073
Clifford algebras and their applications in mathematical physics, Proc. Workshop, Canterbury/U.K. 1985, NATO ASI Ser., Ser. C 183, 177-199 (1986).
Reviewer: J.D.Zund
A probabilistic approach of the index theorem (Atiyah-Singer) [after J.-M. Bismut]. (Une approche probabiliste du théorème de l’indice (Atiyah-Singer) [d’après J.-M. Bismut].) (French) Zbl 0592.58046
Sémin. Bourbaki, 37e année, Vol. 1984/85, Exp. No. 633, Astérisque 133/134, 7-18 (1986).
Reviewer: K. Wojciechowski
Banach bundles, Banach modules and automorphisms of \(C^*\)-algebras. (English) Zbl 0536.46048
Reviewer: Karl H.Hofmann
Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index. (English) Zbl 0532.47011
Reviewer: Y.Kato
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