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Found 111 Documents (Results 1–100)

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Gorodentsev, Alexey L.

Algebra I. Textbook for students of mathematics. Translated from the Russian. Originally published by MCCME, Moscow, 2013. (English) Zbl 1359.15001

Cham: Springer (ISBN 978-3-319-45284-5/hbk; 978-3-319-45285-2/ebook). xx, 564 p. (2016).
Reviewer: John D. Dixon (Ottawa)
MSC:  15-01 13-01 14-01 20-01
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\textit{A. L. Gorodentsev}, Algebra I. Textbook for students of mathematics. Translated from the Russian. Originally published by MCCME, Moscow, 2013. Cham: Springer (2016; Zbl 1359.15001)
Full Text: DOI
Hestenes, David
[Lasenby, Anthony]

Space-time algebra. Foreword by Anthony Lasenby. 2nd ed. (English) Zbl 1316.83005

Cham: Birkhäuser/Springer (ISBN 978-3-319-18412-8/hbk; 978-3-319-38688-1/pbk; 978-3-319-18413-5/ebook). xxiv, 102 p. (2015).
Reviewer: Hans-Jürgen Schmidt (Potsdam)
MSC:  83-02 83C05 53-02 53C27 81R25 53B30 83C60 53Z05 01A75 15A66 11R52 83A05 81S10
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\textit{D. Hestenes}, Space-time algebra. Foreword by Anthony Lasenby. 2nd ed. Cham: Birkhäuser/Springer (2015; Zbl 1316.83005)
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Cahen, Michel; Gutt, Simone

\(\mathrm{Spin}^c\), \(\mathrm{Mp}^c\) and symplectic Dirac operators. (English) Zbl 1403.53064

Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 13-28 (2013).
MSC:  53D05 58J60 81S10
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\textit{M. Cahen} and \textit{S. Gutt}, in: Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24--30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer. 13--28 (2013; Zbl 1403.53064)
Full Text: DOI
Miyaoka, Reiko

Isoparametric hypersurfaces and moment map. (English) Zbl 1260.53103

Suh, Young Jin (ed.) et al., Proceedings of the 16th international workshop on differential geometry and the 5th KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, October 31–November 3, 2012. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 11-23 (2012).
MSC:  53C40 53C24 53D20 15A66
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\textit{R. Miyaoka}, in: Proceedings of the 16th international workshop on differential geometry and the 5th KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, October 31--November 3, 2012. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 11--23 (2012; Zbl 1260.53103)
Alekseev, A.; Bursztyn, H.; Meinrenken, E.

Pure spinors on Lie groups. (English) Zbl 1251.53052

Dai, Xianzhe (ed.) et al., From probability to geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-288-4/pbk). Astérisque 327, 131-199 (2009).
Reviewer: Akira Yoshioka (Tokyo)
MSC:  53D17 53D20 15A66 53C30 53C27
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\textit{A. Alekseev} et al., Astérisque 327, 131--199 (2009; Zbl 1251.53052)
Full Text: arXiv Link
Conradt, Oliver

Mathematical physics in space and counterspace. 2nd ed. (English) Zbl 1176.51007

Arbeitshefte der Mathematisch-Astronomischen Sektion am Goetheanum. Kleine Reihe 4. Dornach: Verlag am Goetheanum; Basel: Univ. Basel (Diss. 2000) (ISBN 978-3-7235-1333-0/pbk). xii, 200 p. (2008).
MSC:  51P05 83A05 51-02 15A66 70G55 70H15
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\textit{O. Conradt}, Mathematical physics in space and counterspace. 2nd ed. Dornach: Verlag am Goetheanum; Basel: Univ. Basel (Diss. 2000) (2008; Zbl 1176.51007)
Krýsl, Svatopluk

Symplectic Dirac operator and its higher spin analogues. (English) Zbl 1166.58305

Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2008, Psalidi, Kos, Greece, 16–20 September 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0576-9/hbk). AIP Conference Proceedings 1048, 674-677 (2008).
MSC:  58J05 58J50 35N10 53D05
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\textit{S. Krýsl}, AIP Conf. Proc. 1048, 674--677 (2008; Zbl 1166.58305)
Krýsl, Svatopluk

On a distinguished class of infinite dimensional representations of \(\mathfrak{sp}(2n,\mathbb C)\). (English) Zbl 1100.15014

Slovák, Jan (ed.) et al., The proceedings of the 24th winter school “Geometry and physics”, Srní, Czech Republic, January 17–24, 2004. Palermo: Circolo Matemático di Palermo. Supplemento ai Rendiconti del Circolo Matemático di Palermo. Serie II 75, 269-277 (2005).
MSC:  15A66 17B10 15A69 53C27
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\textit{S. Krýsl}, in: The proceedings of the 24th winter school ``Geometry and physics'', Srní, Czech Republic, January 17--24, 2004. Palermo: Circolo Matemático di Palermo. 269--277 (2005; Zbl 1100.15014)
Sommen, Frank

Analysis using abstract vector variables. (English) Zbl 1028.15029

Dorst, Leo (ed.) et al., Applications of geometric algebra in computer science and engineering. Papers from the conference, AGACSE 2001, Cambridge, UK, July 9-13, 2001. Boston, MA: Birkhäuser. 119-128 (2002).
MSC:  15A66
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\textit{F. Sommen}, in: Applications of geometric algebra in computer science and engineering. Papers from the conference, AGACSE 2001, Cambridge, UK, July 9--13, 2001. Boston, MA: Birkhäuser. 119--128 (2002; Zbl 1028.15029)
Meinrenken, E.

Clifford algebras and the Duflo isomorphism. (English) Zbl 1020.17007

Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 637-642 (2002).
MSC:  17B35 53D20 17B80 15A66 55N91
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\textit{E. Meinrenken}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 637--642 (2002; Zbl 1020.17007)
Full Text: arXiv
López Almorox, Antonio; Tejero Prieto, Carlos

Symplectic reduction on the hyperbolic Kustaanheimo-Stiefel fibration. (English) Zbl 1031.53116

del Olmo Martínez, Mariano A. (ed.) et al., Proceedings of the 8th fall workshop on geometry and physics, Medina del Campo, Spain, September 23-25, 1999. Madrid: Real Sociedad Matemática Española. Publ. R. Soc. Mat. Esp. 2, 153-168 (2001).
Reviewer: Andrew Bucki (Oklahoma City)
MSC:  53D20 70H33 70G45 15A66
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\textit{A. López Almorox} and \textit{C. Tejero Prieto}, Publ. R. Soc. Mat. Esp. 2, 153--168 (2001; Zbl 1031.53116)
Seeger, Lutz

Metrics with harmonic spinors on even dimensional spheres. (Metriken mit harmonischen Spinoren auf geradedimensionalen Sphären.) (German) Zbl 0986.53018

Berichte aus der Mathematik. Aachen: Shaker Verlag. Hamburg: Univ. Hamburg, Fachbereich Mathematik (Diss.), 86 S. (2001).
Reviewer: Christian Bär (Hamburg)
MSC:  53C27
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\textit{L. Seeger}, Metriken mit harmonischen Spinoren auf geradedimensionalen Sphären. Aachen: Shaker Verlag; Hamburg: Univ. Hamburg, Fachbereich Mathematik (Diss.) (2001; Zbl 0986.53018)
Graham, William; Vogan, David A. jun.

Geometric quantization for nilpotent coadjoint orbits. (English) Zbl 0886.22008

Tirao, Juan (ed.) et al., Geometry and representation theory of real and \(p\)-adic groups. Papers from the 5th workshop on representation theory of Lie groups and its applications, Córdoba, Argentina, August 1995. Boston, MA: Birkhäuser. Prog. Math. 158, 69-137 (1998).
Reviewer: C.Udrişte (Bucureşti)
MSC:  22E46 81S10 37J99
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\textit{W. Graham} and \textit{D. A. Vogan jun.}, Prog. Math. 158, 69--137 (1998; Zbl 0886.22008)
Baylis, William E.

Eigenspinors in curved spacetime. (English) Zbl 0861.15037

Baylis, William E. (ed.), Clifford (geometric) algebras with applications to physics, mathematics, and engineering. Proceedings of the 1995 summer school on theoretical physics, held in Banff, Canada, July 30–August 12, 1995. Boston, MA: Birkhäuser. 285-296 (1996).
MSC:  15A66 15A90 83C60
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\textit{W. E. Baylis}, in: Clifford (geometric) algebras with applications to physics, mathematics, and engineering. Proceedings of the 1995 summer school on theoretical physics, held in Banff, Canada, July 30--August 12, 1995. Boston, MA: Birkhäuser. 285--296 (1996; Zbl 0861.15037)
Kammerer, Jean-Bertrand; Valton, Michel

Representation of a quantum particle with \(\text{spin}1/2\) by means of the Moyal product and a flat symplectic supermanifold. (Représentation d’une particule quantique de \(\text{spin}1/2\) par le produit de Moyal et une super-variété symplectique plate.) (French) Zbl 0796.58019

J. Geom. Phys. 13, No. 4, 393-414 (1994).
MSC:  37J99 81V25 58A50 17B65 15A66 15A75
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\textit{J.-B. Kammerer} and \textit{M. Valton}, J. Geom. Phys. 13, No. 4, 393--414 (1994; Zbl 0796.58019)
Full Text: DOI
Burlakov, M. P.; Evtushik, L. E.

Clifford’s structure and Clifford’s differentiation on Riemannian spaces. (English. Russian original) Zbl 0904.53017

Mosc. Univ. Math. Bull. 49, No. 2, 61-66 (1994); translation from Vestn. Mosk. Univ., Ser. I 1994, No. 2, 67-74 (1994).
Reviewer: Z.Jankovsky (Praha)
MSC:  53B20 70G45 53B30 15A66
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\textit{M. P. Burlakov} and \textit{L. E. Evtushik}, Mosc. Univ. Math. Bull. 49, No. 2, 61--66 (1994; Zbl 0904.53017); translation from Vestn. Mosk. Univ., Ser. I 1994, No. 2, 67--74 (1994)
Crumeyrolle, Albert

Orthogonal and symplectic Clifford algebras. Spinor structures. (English) Zbl 0701.53003

Mathematics and Its Applications, 57. Dordrecht etc.: Kluwer Academic Publishers Group. xiii, 350 p. Dfl. 240.00; £79.00; $ 124.00 (1990).
Reviewer: Joseph D. Zund (Las Cruces)
MSC:  53-02 53C27 15A90 53B50 53C15 15A66 15-02
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\textit{A. Crumeyrolle}, Orthogonal and symplectic Clifford algebras. Spinor structures. Dordrecht etc.: Kluwer Academic Publishers Group (1990; Zbl 0701.53003)
Kostrikin, A. I.; Manin, Yu. I.

Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. (English) Zbl 0755.15002

Algebra, Logic and Applications. 1. New York etc.: Gordon & Breach Science Publishers. ix, 309 pp. (1989).
MSC:  15-01 15A63 51N10 51N15 15A69 81Q10 81S10 11E81 15A66 53B35 15A03
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\textit{A. I. Kostrikin} and \textit{Yu. I. Manin}, Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. New York etc.: Gordon \&| Breach Science Publishers (1989; Zbl 0755.15002)
Anglès, P.

Construction de revêtements du groupe conforme symplectique réel CSp(2,\({\mathbb{R}})\), géométrie conforme symplectique réelle, définition des structures spinorielles conformes symplectiques réelles. (Construction of coverings of the real symplectic conformal group CSp(2,\({\mathbb{R}})\), real symplectic conformal geometry, definition of real symplectic conformal spinor structures). (French) Zbl 0597.53032

Simon Stevin 60, 57-82 (1986).
Reviewer: A.Crumeyrolle
MSC:  53C15 15A66 53C27
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\textit{P. Anglès}, Simon Stevin 60, 57--82 (1986; Zbl 0597.53032)

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