Ławrynowicz, J.; Suzuki, O.; Niemczynowicz, A.; Nowak-Kȩpczyk, M. Fractals and chaos related to Ising-Onsager-Zhang lattices. Quaternary approach vs. ternary approach. (English) Zbl 1421.82031 Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 45, 22 p. (2019). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C44 82D25 81R05 15A66 28A80 82C20 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 45, 22 p. (2019; Zbl 1421.82031) Full Text: DOI
Ławrynowicz, Julian; Suzuki, Osamu; Niemczynowicz, Agnieszka; Nowak-Kępczyk, Małgorzata Fractals and chaos related to Ising-Onsager lattices. Ternary approach versus binary approach. (English) Zbl 1407.82052 Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850187, 17 p. (2018). MSC: 82C44 82C20 82D25 81R05 81Q50 81Q35 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850187, 17 p. (2018; Zbl 1407.82052) Full Text: DOI
Ławrynowicz, Julian; Niemczynowicz, Agnieszka; Nowak-Kȩpczyk, Małgorzata; Sánchez, Luis Manuel Tovar On an extension of harmonicity and holomorphy. (English) Zbl 1346.35082 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VI. Part 1: PDE, differential geometry, radon transform. Proceedings of the 6th international conference on complex analysis and dynamical systems in honor of David Shoikhet on the occasion of his sixtieth birthday, Nahariya, Israel, May 19–24, 2013. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1653-9/pbk; 978-1-4704-2817-4/ebook). Contemporary Mathematics 653. Israel Mathematical Conference Proceedings, 243-250 (2015). MSC: 35K10 81R25 32L25 15A66 47S10 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Contemp. Math. 653, 243--250 (2015; Zbl 1346.35082) Full Text: DOI
Ławrynowicz, J.; Marchiafava, S.; Castello A., F. L.; Niemczynowicz, A. (Para)quaternionic geometry, harmonic forms, and stochastical relaxation. (English) Zbl 1299.81029 Publ. Math. Debr. 84, No. 1-2, 205-220 (2014). MSC: 81R25 32L25 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Publ. Math. Debr. 84, No. 1--2, 205--220 (2014; Zbl 1299.81029) Full Text: DOI
Ławrynowicz, Julian; Nôno, Kiyoharu; Nagayama, Daiki; Suzuki, Osamu Binary and ternary Clifford analysis on nonion algebra and \(su(3)\). (English) Zbl 1307.15032 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 3, 33-48 (2013). Reviewer: Eckhard Hitzer (Tokyo) MSC: 15A66 11R32 11R52 20H20 81Q05 81R60 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 3, 33--48 (2013; Zbl 1307.15032)
Ławrynowicz, Julian; Nôno, Kiyoharu; Nagayama, Daiki; Suzuki, Osamu A method of noncommutative Galois theory for construction of quark models (Kobayashi-Masukawa model). I: Successive Galois extensions. (English) Zbl 1312.81132 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 1, 95-112 (2013). Reviewer: Sirkka-Liisa Eriksson (Tampere) MSC: 81T75 81V35 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 1, 95--112 (2013; Zbl 1312.81132)
Ławrynowicz, Julian; Nôno, Kiyoharu; Nagayama, Daiki; Suzuki, Osamu A method of noncommutative Galois theory for construction of quark models (Kobayashi-Masukawa model). II: Exclusion principles, quark models, and colours. (English) Zbl 1312.81131 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 2, 79-95 (2013). Reviewer: Sirkka-Liisa Eriksson (Tampere) MSC: 81T75 81V35 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 2, 79--95 (2013; Zbl 1312.81131)
Ławrynowicz, Julian; Nôno, Kiyoharu; Suzuki, Osamu Binary and ternary Clifford analysis vs. noncommutative Galois extensions. I: Basics of the comparison. (English) Zbl 1301.15018 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 62, No. 1, 33-42 (2012). MSC: 15A66 81Q05 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 62, No. 1, 33--42 (2012; Zbl 1301.15018)
Ławrynowicz, Julian; Nôno, Kiyoharu; Suzuki, Osamu Binary and ternary Clifford analysis noncommutative Galois extensions. II: The correspondence between ternary and binary field operators. (English) Zbl 1303.15032 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 62, No. 3, 109-118 (2012). MSC: 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 62, No. 3, 109--118 (2012; Zbl 1303.15032)
Ławrynowicz, J.; Suzuki, O.; Niemczynowicz, A. On the ternary approach to Clifford structures and Ising lattices. (English) Zbl 1257.82097 Adv. Appl. Clifford Algebr. 22, No. 3, 757-769 (2012). MSC: 82C44 82D25 81R05 15A66 82B20 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Adv. Appl. Clifford Algebr. 22, No. 3, 757--769 (2012; Zbl 1257.82097) Full Text: DOI
Ławrynowicz, Julian; Vaccaro, Massimo Structure fractals and para-quaternionic geometry. (English) Zbl 1247.81191 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 65, No. 2, 63-73 (2011). MSC: 81R25 32L25 15A66 81Q35 28A80 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{M. Vaccaro}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 65, No. 2, 63--73 (2011; Zbl 1247.81191) Full Text: DOI Link
Lawrynowicz, Julian; Marchiafava, Stefano; Nowak-Kȩpczyk, Małgorzata Mathematical outlook of fractals and chaos related to simple orthorhombic Ising-Onsager-Zhang lattices. (English) Zbl 1186.82018 Sekigawa, Kouei (ed.) et al., Trends in differential geometry, complex analysis and mathematical physics. Proceedings of 9th international workshop on complex structures, integrability and vector fields, Sofia, Bulgaria, August 25–29, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4277-71-6/hbk). 156-166 (2009). MSC: 82B20 28A78 37F45 17C90 11R52 15A66 30D40 82D25 PDFBibTeX XMLCite \textit{J. Lawrynowicz} et al., in: Trends in differential geometry, complex analysis and mathematical physics. Proceedings of 9th international workshop on complex structures, integrability and vector fields, Sofia, Bulgaria, August 25--29, 2008. Hackensack, NJ: World Scientific. 156--166 (2009; Zbl 1186.82018)
Lawrynowicz, Julian; Nôno, Kiyoharu; Suzuki, Osmau A fractal renormalization theory of infinite dimensional Clifford algebra and renormalized Dirac operator. (English) Zbl 1181.81090 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 1085-1094 (2009). MSC: 81T15 81R25 32L25 15A66 81Q05 81Q35 PDFBibTeX XMLCite \textit{J. Lawrynowicz} et al., in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 1085--1094 (2009; Zbl 1181.81090)
Lawrynowicz, Julian; Marchiafava, Stefano; Nowak-Kȩpczyk, Małgorzata Quaternionic background of the periodicity of petal and sepal structures in some fractals of the flower type. (English) Zbl 1181.81072 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 987-996 (2009). MSC: 81R25 32L25 15A66 PDFBibTeX XMLCite \textit{J. Lawrynowicz} et al., in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 987--996 (2009; Zbl 1181.81072)
Ławrynowicz, Julian; Nowak-Kȩpczyk, Małgorzata; Suzuki, Osamu A duality theorem for inoculated graded fractal bundles vs. Cuntz algebras and their central extensions. (English) Zbl 1171.81394 Int. J. Pure Appl. Math. 52, No. 3, 315-337 (2009). MSC: 81R25 32L25 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Int. J. Pure Appl. Math. 52, No. 3, 315--337 (2009; Zbl 1171.81394)
Ławrynowicz, Julian; Nôno, Kiyoharu; Suzuki, Osamu A fractal renormalization theory of an infinite-dimensional Clifford algebra and the renormalized Dirac operator: introduction to the renormalization theory. (English) Zbl 1178.28014 Bull. Soc. Sci. Lett. Łódź 58, Sér. Rech. Déform. 55, 111-116 (2008). MSC: 28A80 15A66 81R10 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 58(55), 111--116 (2008; Zbl 1178.28014)
Ławrynowicz, Julian; Nôno, Kiyoharu; Suzuki, Osamu A fractal renormalization theory of an infinite-dimensional Clifford algebra and the renormalized Dirac operator: proofs of basic results. (English) Zbl 1178.28013 Bull. Soc. Sci. Lett. Łódź 58, Sér. Rech. Déform. 55, 99-110 (2008). MSC: 28A80 15A66 81R10 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 58(55), 99--110 (2008; Zbl 1178.28013)
Ławrynowicz, Julian; Suzuki, Osamu; Castillo Alvarado, Fray de Landa Basic properties and applications of graded fractal bundles related to Clifford structures: physical applications. (English) Zbl 1171.81395 Bull. Soc. Sci. Lett. Łódź 58, Sér. Rech. Déform. 55, 81-97 (2008). MSC: 81R25 28A80 15A66 46L87 58A50 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 58(55), 81--97 (2008; Zbl 1171.81395)
Ławrynowicz, J.; Suzuki, O.; Castillo Alvarado, F. L. Basic properties and applications of graded fractal bundles related to Clifford structures: An introduction. (English) Zbl 1156.28305 Ukr. Mat. Zh. 60, No. 5, 603-618 (2008) and Ukr. Math. J. 60, No. 5, 692-707 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 28A80 15A66 82D30 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Ukr. Mat. Zh. 60, No. 5, 603--618 (2008; Zbl 1156.28305) Full Text: DOI Link
Ławrynowicz, Julian; Nôno, Kiyoharu; Suzuki, Osamu A fractal renormalization theory of an infinite-dimensional Clifford algebra and the renormalized Dirac operator. (English) Zbl 1144.81024 Bull. Soc. Sci. Lett. Łódź 57, Sér. Rech. Déform. 53, 53-62 (2007). MSC: 28A80 15A66 81R10 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 57(53), 53--62 (2007; Zbl 1144.81024)
Ławrynowicz, Julian; Suzuki, Osamu; de Landa Castillo Alvarado, Fray Basic properties and applications of graded fractal bundles related to Clifford structures. (English) Zbl 1144.81468 Bull. Soc. Sci. Lett. Łódź 57, Sér. Rech. Déform. 53, 37-52 (2007). MSC: 28A80 15A66 46L87 81R25 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 57(53), 37--52 (2007; Zbl 1144.81468)
Ławrynowicz, Julian Quaternions and fractals vs. Finslerian geometry. V: Clifford-analytical description of quantum-mechanical gauge theories. (English) Zbl 1137.53344 Bull. Soc. Sci. Lett. Łódź 56, Sér. Rech. Déform. 49, 45-60 (2006). MSC: 53C80 15A66 28A80 53C60 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 56(49), 45--60 (2006; Zbl 1137.53344)
Ławrynowicz, Julian; Marchiafava, Stefano; Nowak-Kȩpczyk, Małgorzata Periodicity theorem for structure fractals in quaternionic formulation. (English) Zbl 1114.81047 Int. J. Geom. Methods Mod. Phys. 3, No. 5-6, 1167-1197 (2006). MSC: 81R25 32L25 53A40 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Int. J. Geom. Methods Mod. Phys. 3, No. 5--6, 1167--1197 (2006; Zbl 1114.81047) Full Text: DOI
Ławrynowicz, Julian; Miškinis, Paulius; Suzuki, Osamu Parastatistical properties of quaternionic superparticles and Hermitian Hurwitz pairs. (English) Zbl 1152.81854 Bull. Soc. Sci. Lett. Łódź 55, Sér. Rech. Déform. 47, 37-54 (2005). MSC: 81R25 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 55(47), 37--54 (2005; Zbl 1152.81854)
Ławrynowicz, Julian; Suzuki, Osamu Periodicity theorems for graded fractal bundles related to Clifford structures. (English) Zbl 1160.28303 Int. J. Pure Appl. Math. 24, No. 2, 181-209 (2005). MSC: 28A80 15A66 81R25 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, Int. J. Pure Appl. Math. 24, No. 2, 181--209 (2005; Zbl 1160.28303)
Ławrynowicz, Julian; Suzuki, Osamu A fractal method for infinite-dimensional Clifford algebras and the related wavelet bundles. (English) Zbl 1108.46309 Bull. Soc. Sci. Lett. Łódź 53, Sér. Rech. Déform. 40, 53-70 (2003). MSC: 46L05 15A66 28A80 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 53(40), 53--70 (2003; Zbl 1108.46309)
Ławrynowicz, Julian; Tovar, Luis Manuel Type-changing transformations of Hurwitz pairs, quasiregulator functions, and hyper Kählerian holomorphic chains. I. (English) Zbl 0992.15027 Dimiev, Stancho (ed.) et al., Perspectives of complex analysis, differential geometry and mathematical physics. Proceedings of the 5th international workshop on complex structures and vector fields, St. Konstantin, Bulgaria, September 3-9, 2000. Singapore: World Scientific. 58-74 (2001). MSC: 15A66 53C26 32L25 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{L. M. Tovar}, in: Perspectives of complex analysis, differential geometry and mathematical physics. Proceedings of the 5th international workshop on complex structures and vector fields, St. Konstantin, Bulgaria, September 3--9, 2000. Singapore: World Scientific. 58--74 (2001; Zbl 0992.15027)
Ławrynowicz, Julian; Suzuki, Osamu Pseudotwistors. (English) Zbl 0991.81041 Int. J. Theor. Phys. 40, No. 1, 387-397 (2001). MSC: 81R25 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, Int. J. Theor. Phys. 40, No. 1, 387--397 (2001; Zbl 0991.81041) Full Text: DOI
Ławrynowicz, Julian; Suzuki, Osamu An introduction to pseudotwistors: Spinor solutions vs. harmonic forms and cohomology groups. (English) Zbl 0958.32014 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, 393-423 (2000). MSC: 32L25 81R25 15A66 53C28 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, Prog. Phys. 18, 393--423 (2000; Zbl 0958.32014)
Ławrynowicz, Julian; Suzuki, Osamu Hurwitz-type and space-time-type duality theorems for Hermitian Hurwitz pairs. (English) Zbl 0946.15021 Ramírez de Arellano, E. (ed.) et al., Complex analysis and related topics. In part the proceedings of the international symposium, Cuernavaca, Mexico, November 1996. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 114, 155-169 (2000). MSC: 15A66 81R25 15A90 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, in: Complex analysis and related topics. In part the proceedings of the international symposium, Cuernavaca, Mexico, November 1996. Basel: Birkhäuser. 155--169 (2000; Zbl 0946.15021)
Ławrynowicz, Julian; Suzuki, Osamu The twistor theory of the Hermitian Hurwitz pair \((\mathbb C^4(I_{2,2}), \mathbb R^5(I_{2,3}))\). (English) Zbl 0917.15022 Adv. Appl. Clifford Algebr. 8, No. 1, 147-179 (1998). Reviewer: Wolfgang Sproessig (Freiberg) MSC: 15A66 58A12 55N99 81R25 32L25 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, Adv. Appl. Clifford Algebr. 8, No. 1, 147--179 (1998; Zbl 0917.15022) Full Text: DOI
Ławrynowicz, Julian Type-changing transformations of pseudo-Euclidean Hurwitz pairs, Clifford analysis, and particle lifetimes. (English) Zbl 0896.15016 Dietrich, Volker (ed.) et al., Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 94, 217-226 (1998). MSC: 15A66 83C60 83D05 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Fundam. Theor. Phys. 94, 217--226 (1998; Zbl 0896.15016)
Ławrynowicz, Julian; Suzuki, Osamu Hurwitz duality theorems for Fueter and Dirac equations. (English) Zbl 0902.15023 Adv. Appl. Clifford Algebr. 7, No. 2, 113-132 (1997). Reviewer: M.Shapiro (México) MSC: 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, Adv. Appl. Clifford Algebr. 7, No. 2, 113--132 (1997; Zbl 0902.15023) Full Text: DOI
Ławrynowicz, Julian; Rembieliński, Jakub; Succi, Francesco Generalized Hurwitz maps of the type \(S \times V \to W\), anti-involutions, and quantum braided Clifford algebras. (English) Zbl 0874.46012 Ławrynowicz, J. (ed.), Generalizations of complex analysis and their applications in physics. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 37, 223-240 (1996). MSC: 46C20 32G81 15A66 17B37 81R50 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Banach Cent. Publ. 37, 223--240 (1996; Zbl 0874.46012) Full Text: EuDML
Adem, José; Ławrynowicz, Julian; Rembieliński, Jakub Generalized Hurwitz maps of the type \(S\times V\to W\). (English) Zbl 0885.15019 Rep. Math. Phys. 37, No. 1-3, 325-336 (1996). Reviewer: E.Ellers (Toronto) MSC: 15A63 15A66 PDFBibTeX XMLCite \textit{J. Adem} et al., Rep. Math. Phys. 37, No. 1--3, 325--336 (1996; Zbl 0885.15019) Full Text: DOI
Ławrynowicz, Julian; Papaloucas, Loucas C.; Rembieliński, Jakub Quantum braided Clifford algebras. (English) Zbl 0843.15014 Abłamowicz, Rafał (ed.) et al., Clifford algebras and spinor structures. A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992). Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 321, 387-395 (1995). Reviewer: W.A.Rodrigues jun.(Campinas) MSC: 15A66 81R50 15A90 81R25 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Math. Appl., Dordr. 321, 387--395 (1995; Zbl 0843.15014)
Ławrynowicz, Julian (ed.); Rodrigues, Waldyr A. jun. (ed.) Generalizations of complex analysis and their applications in physics. I. Complex mappings and related structures, complex and related structures of physical interest, and Clifford and Hurwitz-type structures applicable in physics. Papers from the symposium, Warsaw and Rynia, Poland, May 30–July 1, 1994. (English) Zbl 0870.00026 Bull. Soc. Sci. Lett. Łódź 45, Sér. Rech. Déform. 19, 139 p. (1995). MSC: 00B25 30-06 15-06 PDFBibTeX XML
de Landa Castillo Alvarado, Fray; Contreras Puente, Gerardo; Ławrynowicz, Julian; Wojtczak, Leszek A Hurwitz-pair approach to the pre-melting problem. (English) Zbl 0824.15030 Ławrynowicz, Julian (ed.), Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 289-298 (1994). MSC: 15A90 15A66 80A22 82D25 82C26 PDFBibTeX XMLCite \textit{F. de Landa Castillo Alvarado} et al., in: Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 289--298 (1994; Zbl 0824.15030)
Ławrynowicz, Julian; Suzuki, Osamu The duality theorem for the Hurwitz pairs of bidemsion (8,5) and the Penrose theory. (English) Zbl 0967.15500 Ławrynowicz, Julian (ed.), Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 209-212 (1994). MSC: 15A66 32L25 81R20 81R25 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, in: Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 209--212 (1994; Zbl 0967.15500)
Ławrynowicz, Julian; Porter, R. Michael; Ramírez de Arellano, Enrique; Rembieliński, Jakub On dualities generated by the generalised Hurwitz problem. (English) Zbl 0827.15039 Ławrynowicz, Julian (ed.), Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 189-208 (1994). MSC: 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., in: Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 189--208 (1994; Zbl 0827.15039)
Furuoya, Izumi; Kanemaki, Shôji; Ławrynowicz, Julian; Suzuki, Osamu Hermitian Hurwitz pairs. (English) Zbl 0841.11018 Ławrynowicz, Julian (ed.), Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 135-154 (1994). Reviewer: P.Y.H.Yiu (Boca Raton) MSC: 11E39 15A63 PDFBibTeX XMLCite \textit{I. Furuoya} et al., in: Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group. 135--154 (1994; Zbl 0841.11018)
Ławrynowicz, Julian (ed.) Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. (English) Zbl 0818.00011 Dordrecht: Kluwer Academic Publishers Group. x, 464 p. (1994). MSC: 00B25 15-06 58-06 PDFBibTeX XMLCite \textit{J. Ławrynowicz} (ed.), Deformations of mathematical structures 2: Hurwitz-type structures and applications to surface physics. Selected papers from the seminar on deformations, Łódź-Malinka, Poland, 1988-1992. Dordrecht: Kluwer Academic Publishers Group (1994; Zbl 0818.00011)
Lawrynowicz, J.; Kovacheva, R. Quasi-regular extension and approximation of dualities generated by the generalized Hurwitz problem. (English) Zbl 0791.30042 Kühnau, R. (ed.) et al., Geometric function theory and applications of complex analysis and its applications to partial differential equations 2. Proceedings, 5th conference, held in Halle (GDR), in December 1988. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 257, 100-117 (1993). Reviewer: Huberta Lausch (Staffelstein) MSC: 30G35 15A99 PDFBibTeX XMLCite \textit{J. Lawrynowicz} and \textit{R. Kovacheva}, Pitman Res. Notes Math. Ser. 257, 100--117 (1993; Zbl 0791.30042)
Ławrynowicz, Julian Quantized complex and Clifford structures. (English) Zbl 0794.15015 Ławrynowicz, J. (ed.) et al., Proceedings of the 4th Finnish-Polish summer school in complex analysis at Jyväskylä, Finland, August 17-20, 1992. Jyväskylä: Univ., Mathematisches Institut. Jyväskylä Univ., Math. Inst., Ber. 55, 113-120 (1993). MSC: 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, in: Proceedings of the fourth Finnish-Polish summer school in complex analysis at Jyväskylä, Finland, August 17-20, 1992. Jyväskylä: Univ., Mathematisches Institut. 113--120 (1993; Zbl 0794.15015)
Ławrynowicz, Julian Clifford analysis and the five-dimensional analogues of the quaternionic structure of the Kałuża-Klein and Penrose types. (English) Zbl 0794.15014 Ławrynowicz, J. (ed.) et al., Proceedings of the 4th Finnish-Polish summer school in complex analysis at Jyväskylä, Finland, August 17-20, 1992. Jyväskylä: Univ., Mathematisches Institut. Jyväskylä Univ., Math. Inst., Ber. 55, 97-112 (1993). Reviewer: P.Lounesto (Helsinki) MSC: 15A66 15A63 81Q05 15A90 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, in: Proceedings of the fourth Finnish-Polish summer school in complex analysis at Jyväskylä, Finland, August 17-20, 1992. Jyväskylä: Univ., Mathematisches Institut. 97--112 (1993; Zbl 0794.15014)
Ławrynowicz, J.; Koshi, S.; Suzuki, O. Dualities generated by the generalised Hurwitz problem and variation of the Yang-Mills field. (English) Zbl 0920.15010 Srivastava, H. M. (ed.) et al., Analysis, geometry and groups: a Riemann legacy volume. 2 vols. Palm Harbor, FL: Hadronic Press. Hadronic Press Collection of Original Articles. Part I, 275-288 (1993). MSC: 15A66 81T13 83E15 53Z05 15A90 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., in: Analysis, geometry and groups: a Riemann legacy volume. 2 vols. Palm Harbor, FL: Hadronic Press. Part I, 275--288 (1993; Zbl 0920.15010)
Ławrynowicz, Julian The normed maps \({\mathbb{R}{}}^{11} \times{}{\mathbb{R}{}}^{11} \to{}{\mathbb{R}{}}^{26}\) in hypercomplex analysis and in physics. (English) Zbl 0769.30039 Clifford algebras and their applications in mathematical physics, Proc. 2nd Workshop, Montpellier/Fr. 1989, Fundam. Theor. Phys. 47, 447-461 (1992). Reviewer: U.Bruzzo (Genova) MSC: 30G30 30G35 15A66 32C11 83E30 PDFBibTeX XMLCite \textit{J. Ławrynowicz}, Fundam. Theor. Phys. 47, 447--461 (1992; Zbl 0769.30039)
Ławrynowicz, J.; Kovacheva, R. Quasiregular extension and approximation of dualities generated by the generalised Hurwitz problem. (English) Zbl 0743.30043 Prepr., Inst. Math., Pol. Acad. Sci., Warsz. 485, 16 p. (1991). Reviewer: Huberta Lausch (Würzburg) MSC: 30G35 15A63 15A66 PDFBibTeX XML
Lawrynowicz, Julian; Kȩdzia, Katarzyna; Suzuki, Osamu Supercomplex structures, surface soliton equations, and quasiconformal mappings. (English) Zbl 0761.35091 Ann. Pol. Math. 55, No. 1-3, 245-268 (1991). Reviewer: S.S.Dragomir (Timişoara) MSC: 35Q51 15A63 30C62 PDFBibTeX XMLCite \textit{J. Lawrynowicz} et al., Ann. Pol. Math. 55, No. 1--3, 245--268 (1991; Zbl 0761.35091) Full Text: DOI
Królikowski, Wiesław; Lambert, Dominique; Ławrynowicz, Julian; Rembieliński, Jakub The CR problem and Hurwitz pairs applied to field theory and solid state physics. (English) Zbl 0749.15018 Rep. Math. Phys. 29, No. 1, 23-44 (1991). Reviewer: N.D.Sengupta (Bombay) MSC: 15A90 81T10 35Q53 PDFBibTeX XMLCite \textit{W. Królikowski} et al., Rep. Math. Phys. 29, No. 1, 23--44 (1991; Zbl 0749.15018) Full Text: DOI
Lawrynowicz, J.; Rembielinski, J. Erratum. Complete reproduction of the article: “On the composition of nondegenerate quadratic forms with an arbitrary index”. (English) Zbl 0716.15019 Ann. Fac. Sci. Toulouse, V. Sér., Math. 11, No. 1, 141-168 (1990). MSC: 15A63 15A66 11E39 PDFBibTeX XMLCite \textit{J. Lawrynowicz} and \textit{J. Rembielinski}, Ann. Fac. Sci. Toulouse, Math. (5) 11, No. 1, 141--168 (1990; Zbl 0716.15019) Full Text: DOI EuDML
Ławrynowicz, Julian; Ramírez de Arellano, Enrique; Rembieliński, Jakub The correspondence between type-reversing transformations of pseudo-Euclidean Hurwitz pairs and Clifford algebras. II. (English) Zbl 0876.15024 Bull. Soc. Sci. Lett. Łódź 40, Sér. Rech. Déform. 8, 99-129 (1990). MSC: 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 40(8), 99--129 (1990; Zbl 0876.15024)
Ławrynowicz, Julian; Ramírez de Arellano, Enrique; Rembieliński, Jakub The correspondence between type-reversing transformations of pseudo-Euclidean Hurwitz pairs and Clifford algebras. I. (English) Zbl 0876.15023 Bull. Soc. Sci. Lett. Łódź 40, Sér. Rech. Déform. 8, 61-97 (1990). MSC: 15A66 15A63 PDFBibTeX XMLCite \textit{J. Ławrynowicz} et al., Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 40(8), 61--97 (1990; Zbl 0876.15023)
Ławrynowicz, Julian; Rembieliński, Jakub On the composition of nondegenerate quadratic forms with an arbitrary index. (English) Zbl 0701.15025 Ann. Fac. Sci. Toulouse, V. Sér., Math. 10, No. 1, 141-168 (1989). Reviewer: S.Lal MSC: 15A63 15A66 11E39 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{J. Rembieliński}, Ann. Fac. Sci. Toulouse, Math. (5) 10, No. 1, 141--168 (1989; Zbl 0701.15025) Full Text: DOI Numdam Numdam EuDML
Ławrynowicz, Julian; Rembieliński, Jakub Pseudo-Euclidean Hurwitz pairs and the Kałuża-Klein theories. (English) Zbl 0654.15021 J. Phys. A 20, 5831-5848 (1987). MSC: 15A66 15A90 81T99 81T60 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{J. Rembieliński}, J. Phys. A, Math. Gen. 20, 5831--5848 (1987; Zbl 0654.15021) Full Text: DOI
Ławrynowicz, Julian; Rembielinśki, Jakub Complete classification for pseudo-Euclidean Hurwitz pairs including the symmetry operations. (English) Zbl 0627.15012 Bull. Soc. Sci. Lett. Łódź 36, No. 29, 15 p. (1986). Reviewer: D.Y.H.Yiu MSC: 15A63 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{J. Rembielinśki}, Bull. Soc. Sci. Lett. Łódź 36, No. 29, 15 p. (1986; Zbl 0627.15012)
Ławrynowicz, Julian; Rembieliński, Jakub Pseudo-Euclidean Hurwitz pairs and generalized Fueter equations. (English) Zbl 0597.15019 Clifford algebras and their applications in mathematical physics, Proc. Workshop, Canterbury/U.K. 1985, NATO ASI Ser., Ser. C 183, 39-48 (1986). Reviewer: P.Rudra MSC: 15A66 PDFBibTeX XML
Ławrynowicz, Julian; Rembieliński, Jakub Supercomplex vector spaces and spontaneous symmetry breaking. (English) Zbl 0605.30050 Semin. Geom., Univ. Studi Bologna 1984, 131-154 (1985). Reviewer: T.Tonev MSC: 30G99 53C80 46C05 15A66 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{J. Rembieliński}, Semin. Geom., Univ. Studi Bologna 1984, 131--154 (1985; Zbl 0605.30050)
Ławrynowicz, Julian; Rembieliński, Jakub Hurwitz pairs equipped with complex structures. (English) Zbl 0591.15019 Deformations, Proc. Semin., Łódź-Warsaw/Pol. 1982-84, Lect. Notes Math. 1165, 184-195 (1985). Reviewer: M.E.Keating MSC: 15A66 15A63 15A90 PDFBibTeX XML