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Prof. Dr. hab. Zbigniew Oziewicz Has Passed Away

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  1. Summary: The First Max Born Symposium in Theoretical and Mathematical Physics, organized by the University of Wrocław, was held in September 1991 with the intent that it would become an annual event. It is the outgrowth of the annual Seminars organized jointly since 1972 with the University of Leipzig. The name of the Symposia was proposed by Professor Jan Łopuszański. Max Born, an outstanding German theoretical physicist, was born in 1883 in Breslau (the German name of Wrocław) and educated here. The Second Max Born Symposium was held during the four days 24–27 September 1992 in an old Sobótka Castle, 30 km west of Wrocław. The Sobótka Castle was built in the eleventh century. The dates engraved on the walls of the Castle are 1024, 1140, and at the last rebuilding, 1885. The castle served as a cloister until the end of the sixteenth century. (Zbigniew Oziewicz, University of Wrocław, Poland, December 1992)

  2. Summary: This volume contains the Proceedings of the International Conference held at the Universidad Nacional Autónoma de México, Cuautitlán Izcalli, September 27–29, 1995.

  3. Summary: This paper is an introduction to the realization of a universal Clifford algebra and of an opposite Clifford algebra as a Chevalley deformation of an exterior algebra. We discuss the realizations of a universal tensor algebra, a realization of a universal factor algebra as a deformation versus a realization by quantization, and a generalization of a Clifford algebra for a braided category. The technical aim is the determination of the minimum polynomial of the tensor product of the Dirac matrices \(\gamma ^{\mu } \otimes \gamma _{\mu }\). This minimum polynomial is useful for understanding in the framework of the Clifford algebra the particles with integer spin 0, 1 and systems of particles with spin \(\frac{1}{2}\).

  4. Summary: A unipotent isometry is said to be a reflection. In 1937, É. Cartan [Le cons sur la théorie des spineurs. Paris: Hermann & Cie (1938)] proved that every isometry can be expressed as a composition of reflections. The Lie subalgebra of bivectors inside a Clifford algebra generate isometries without the Grassmann exponential. The main result is the coordinate-free and basis-free construction of two isometries from a simple bivector. D. Hestenes [Space-time algebra. New York-London-Paris: Gordon and Breach Science Publishers (1966)] introduced in 1966 a rotor in a spin group as a square root of the Clifford product of two vectors. We compare a rotor from reflections, with a rotor from a simple bivector. This result generalizes the Lorentz transformations considered by P. Lounesto in 1997 [Clifford algebras and spinors. London Mathematical Society Lecture Note Series. 239. Cambridge: Cambridge University Press (1997)]

  5. Summary: Jaime Keller passed away on January 7, 2011. He was the founder of Advances in Applied Clifford Algebras and its Editor-in-Chief since 1991. We recall the pre-history of AACA.

References

  1. Borowiec, A., Jancewicz, B., Oziewicz, Z. (eds.).: Spinors, Twistors, Clifford Algebras and Quantum Deformations: Proceedings of the Second Max Born Symposium held near Wrocław, Poland, September 1992 (Fundamental Theories of Physics (52)) Springer, Softcover reprint of the original 1st ed. 1993 edition (October 13, 2012)

  2. https://gaupdate.wordpress.com/2020/12/09/obituary-zbigniew-oziewicz-mexico/ (in English)

  3. https://pikio.pl/nie-zyje-091220-bc-zbigniew-oziewicz (in Polish)

  4. https://unam.academia.edu/ZbigniewOziewicz

  5. Keller, J., Oziewicz, Z. (eds.).: The theory of the electron. Adv. Appl. Clifford Algebras 7(Suppl ii–xiv), 1–499 (1997) (English, Zbl 1221.81013)

  6. Oziewicz, Z., Quesada, F.R.V.: Gráficas De Gráficas: Introducción a Teoría De Categorías (Spanish Edition) Palibrio (2018)

  7. Oziewicz, Z.: Clifford algebra of multivectors. Adv. Appl. Clifford Algebras 7(Suppl), 467–486 (1997). (English, Zbl 1221.15032)

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  8. Oziewicz, Z.: Isometry from reflections versus isometry from bivector. Adv. Appl. Clifford Algebras 19(3–4), 793–817 (2009). (English, Zbl 1179.15024)

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  9. Oziewicz, Z.: In memoriam Jaime Keller (1936–2011). Adv. Appl. Clifford Algebras 21(1), 1–11 (2011). (English Zbl 1213.01092)

    Article  MathSciNet  Google Scholar 

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Prof. Dr. hab. Zbigniew Oziewicz Has Passed Away. Adv. Appl. Clifford Algebras 31, 24 (2021). https://doi.org/10.1007/s00006-021-01124-9

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  • DOI: https://doi.org/10.1007/s00006-021-01124-9

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