Kraußhar, Rolf Sören; Legatiuk, Anastasiia; Legatiuk, Dmitrii Application of the Weyl calculus perspective on discrete octonionic analysis in bounded domains. (English) Zbl 07980096 Complex Anal. Oper. Theory 19, No. 2, Paper No. 26, 28 p. (2025). MSC: 39A12 42A38 44A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marques-Bonham, Sirley; Matzner, Richard; Chanyal, Bhupesh Chandra An extension of quaternionic metrics to octonions in a non-Riemannian spacetime: including Yang-Mills-like fields within a division octonion algebra. (English) Zbl 07969110 Int. J. Geom. Methods Mod. Phys. 21, No. 14, Article ID 2450236, 35 p. (2024). MSC: 83D05 81T13 81V17 × Cite Format Result Cite Review PDF Full Text: DOI
Prasad, Kalika; Kumari, Munesh; Tanti, Jagmohan Octonions and hyperbolic octonions with the \(k\)-balancing and \(k\)-Lucas balancing numbers. (English) Zbl 07954779 J. Anal. 32, No. 3, 1281-1296 (2024). MSC: 11B39 11B37 11R52 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Finster, Felix; Gresnigt, Niels G.; Isidro, José M.; Marcianò, Antonino; Paganini, Claudio F.; Singh, Tejinder P. Causal fermion systems and octonions. (English) Zbl 07949701 Fortschr. Phys. 72, No. 11, Article ID 2400055, 19 p. (2024). MSC: 81V22 81R05 15A67 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gogberashvili, Merab; Gurchumelia, Alexandre Split octonionic Dirac equation. (English) Zbl 07932580 Int. J. Geom. Methods Mod. Phys. 21, No. 12, Article ID 2450214, 5 p. (2024). MSC: 83C60 81R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Köme, Sure On the generalized dual Fibonacci and Lucas octonions. (English) Zbl 07927989 Facta Univ., Ser. Math. Inf. 39, No. 3, 391-409 (2024). MSC: 11B39 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Hitzer, Eckhard Embedding of octonion Fourier transform in geometric algebra of \(\mathbb{R}^3\) and polar representations of octonion analytic signals in detail. (English) Zbl 07926835 Math. Methods Appl. Sci. 47, No. 14, 11405-11421 (2024). MSC: 30G35 42A38 15A67 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Alesker, Semyon; Gordon, Peter V. Octonionic Calabi-Yau theorem. (English) Zbl 07904890 J. Geom. Anal. 34, No. 9, Paper No. 293, 65 p. (2024). Reviewer: Daniel Thung (Amsterdam) MSC: 32Q25 35J96 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corradetti, Daniele; Marrani, Alessio; Zucconi, Francesco A minimal and non-alternative realisation of the Cayley plane. (English) Zbl 07901284 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 70, No. 3, 681-730 (2024). MSC: 17A35 17A75 51A50 22E60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xia, Wei; Wang, Haiyan The Möbius addition and generalized Laplace-Beltrami operator in octonionic space. (English) Zbl 1543.30148 Adv. Appl. Clifford Algebr. 34, No. 3, Paper No. 27, 21 p. (2024). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Ghiloni, Riccardo; Stoppato, Caterina A unified notion of regularity in one hypercomplex variable. (English) Zbl 07873694 J. Geom. Phys. 202, Article ID 105219, 13 p. (2024). Reviewer: Eckhard Hitzer (Tōkyō) MSC: 30G35 32A50 16H05 17A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bray, John N.; Stepanov, Yegor; Wilson, Robert A. Octonions, Albert vectors and the group \( \mathrm{E}_6(F)\). (English) Zbl 1543.20062 Commun. Algebra 52, No. 8, 3461-3489 (2024). Reviewer: Evgenii L. Bashkirov (Minsk) MSC: 20H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kraußhar, Rolf Sören Recent and new results on octonionic Bergman and Szegö kernels. (English) Zbl 07869448 Math. Methods Appl. Sci. 47, No. 10, 7888-7901 (2024). MSC: 32A25 32A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Çakır, Hasan; Bektaş, Özcan; Yılmaz, Ruşen Dual octonions and rigid body kinematics. (English) Zbl 1547.70009 Math. Methods Appl. Sci. 47, No. 7, 5957-5974 (2024). MSC: 70E15 70E17 15A67 15A66 × Cite Format Result Cite Review PDF Full Text: DOI
Guterman, A. E.; Zhilina, S. A. On the lengths of Okubo algebras. (English) Zbl 07868228 J. Algebra 653, 257-280 (2024). MSC: 17A20 17A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abboud, Sahab Mohsen; Yassein, Hassan Rashed; Alhamido, Riad Khidr Improvement of a multi-dimensional public-key OTRU cryptosystem. (English) Zbl 07866751 Int. J. Math. Comput. Sci. 19, No. 4, 1071-1076 (2024). MSC: 94A60 × Cite Format Result Cite Review PDF Full Text: Link
Lasenby, Anthony Some recent results for SU(3) and octonions within the geometric algebra approach to the fundamental forces of nature. (English) Zbl 1537.15024 Math. Methods Appl. Sci. 47, No. 3, 1471-1491 (2024). MSC: 15A67 15A66 11E88 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hitzer, Eckhard Extending Lasenby’s embedding of octonions in space-time algebra \(Cl(1, 3)\), to all three- and four dimensional Clifford geometric algebras \(Cl(p, q)\), \(n = p + q = 3, 4\). (English) Zbl 1537.15018 Math. Methods Appl. Sci. 47, No. 3, 1401-1424 (2024). MSC: 15A66 11E88 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Illmer, Maximilian; Netzer, Tim A note on polynomial equations over algebras. (English) Zbl 07836111 Proc. Am. Math. Soc. 152, No. 5, 1831-1839 (2024). Reviewer: Joël Kabore (Ouagadougou) MSC: 16P10 16H05 17C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lukyanenko, Anton; Vandehey, Joseph Convergence of improper Iwasawa continued fractions. (English) Zbl 07819753 Int. J. Number Theory 20, No. 2, 299-326 (2024). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11K50 11R52 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daza-García, Alberto; Elduque, Alberto; Sayin, Umut From octonions to composition superalgebras via tensor categories. (English) Zbl 07810708 Rev. Mat. Iberoam. 40, No. 1, 129-152 (2024); erratum ibid. 40, No. 1, 153 (2024). MSC: 17A75 17A70 18M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kanel-Belov, Alexei; Malev, Sergey; Pines, Coby; Rowen, Louis The images of multilinear and semihomogeneous polynomials on the algebra of octonions. (English) Zbl 1537.16028 Linear Multilinear Algebra 72, No. 2, 178-187 (2024). Reviewer: Wenchao Zhang (Huizhou) MSC: 16R30 16S50 17A60 16R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Depies, Connor M.; Smith, Jonathan D. H.; Ashburn, Mitchell D. Octonions as Clifford-like algebras. (English) Zbl 1546.17041 J. Algebra 644, 761-795 (2024). Reviewer: Cristina Flaut (Constanța) MSC: 17D05 17A35 17A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sören Kraußhar, Rolf; Legatiuk, Anastasiia; Legatiuk, Dmitrii Towards discrete octonionic analysis. (English) Zbl 07923362 Vasilyev, Vladimir (ed.), Differential equations, mathematical modeling and computational algorithms. DEMMCA 2021, Belgorod, Russia, October 25–29, 2021. Cham: Springer. Springer Proc. Math. Stat. 423, 51-63 (2023). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Malyugin, Sergei Artem’evich Linear and additive perfect codes over skew fields and quasi skew fields. (Russian. English summary) Zbl 07896816 Sib. Èlektron. Mat. Izv. 20, No. 2, 1093-1107 (2023). MSC: 94B60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Draper, Cristina; Palomo, Francisco J. Reductive homogeneous spaces of the compact Lie group \(G_2\). (English) Zbl 1537.22050 Albuquerque, Helena (ed.) et al., Non-associative algebras and related topics. NAART II. Selected papers based on the presentations at the 2nd conference, Coimbra, Portugal, July 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 427, 29-63 (2023). MSC: 22F30 17B25 53C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saunderson, James A convex form that is not a sum of squares. (English) Zbl 1540.90191 Math. Oper. Res. 48, No. 1, 569-582 (2023). MSC: 90C22 90C25 52A41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kakade, Kartik; Singh, Avnish; Singh, Tejinder P. Spontaneous localisation from a coarse-grained deterministic and non-unitary dynamics. (English) Zbl 1540.81009 Phys. Lett., A 490, Article ID 129191, 6 p. (2023). MSC: 81P05 81P15 37A05 47B65 83C45 81V25 81R40 37L55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hemmila, D.; Phillips, J. D.; Rowe, D.; White, R. Commutative and 2-divisible subvarieties of rings of Bol-Moufang type. (English) Zbl 1547.17004 Quasigroups Relat. Syst. 31, No. 2, 241-259 (2023). Reviewer: Raúl M. Falcón (Sevilla) MSC: 17A30 17D05 20N05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Meyer, Philippe Geometric properties of special orthogonal representations associated to exceptional Lie superalgebras. (English) Zbl 1535.17015 Rev. Math. Phys. 35, No. 10, Article ID 2350026, 23 p. (2023). Reviewer: Takao Imai (Chiba) MSC: 17B25 17B60 53C27 17A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Wilson, Robert A.; Dray, Tevian; Manogue, Corinne A. An octonionic construction of \(E_8\) and the Lie algebra magic square. (English) Zbl 1544.17033 Innov. Incidence Geom. 20, No. 2-3, 611-634 (2023). MSC: 17B25 05B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Valette, Alain J. The exceptional simple Lie group \(F_{4(-20)}\), after J. Tits. (English) Zbl 1540.22014 Innov. Incidence Geom. 20, No. 2-3, 599-610 (2023). Reviewer: Günter F. Steinke (Christchurch) MSC: 22E15 17A35 51A10 51A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Golasiński, Marek; Gómez Ruiz, Francisco Hermitian matrices over \(K\)-octonions and their diagonalizations. (English) Zbl 1525.15023 Topology Appl. 339, Part A, Article ID 108575, 14 p. (2023). Reviewer: Roksana Słowik (Gliwice) MSC: 15B33 15A30 15A20 15B57 12D15 20G41 × Cite Format Result Cite Review PDF Full Text: DOI
Dou, Xinyuan; Ren, Guangbin; Sabadini, Irene A representation formula for slice regular functions over slice-cones in several variables. (English) Zbl 1526.30062 Ann. Mat. Pura Appl. (4) 202, No. 5, 2421-2446 (2023). Reviewer: Swanhild Bernstein (Freiberg) MSC: 30G35 17A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hitzer, Eckhard Embedding of octonion Fourier transform in geometric algebra of \(\mathbb{R}^3\) and polar representations of octonion analytic signals. (English) Zbl 1520.15013 Hitzer, Eckhard (ed.) et al., Empowering novel geometric algebra for graphics and engineering. 7th international workshop, ENGAGE 2022, virtual event, September 12, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13862, 123-134 (2023). MSC: 15A67 15A66 94A12 68U05 42A38 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Helmstetter, Jacques Repeated Cayley-Dickson processes and subalgebras of dimension 8. (English) Zbl 1537.17001 Adv. Appl. Clifford Algebr. 33, No. 4, Paper No. 47, 22 p. (2023). Reviewer: Cristina Flaut (Constanța) MSC: 17A01 17A60 × Cite Format Result Cite Review PDF Full Text: DOI
Vieira, Renata Passos Machado; Mangueira, Milena Carolina dos Santos; Alves, Francisco Régis Vieira; Catarino, Paula Maria Machado Cruz The generalization of Gaussians and Leonardo’s octonions. (English) Zbl 1510.11063 Ann. Math. Sil. 37, No. 1, 117-137 (2023). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Sürekçi, Arzu; Güngör, Mehmet Ali Commutative elliptic octonions. (English) Zbl 07854371 Honam Math. J. 44, No. 2, 195-208 (2022). MSC: 13A99 15A18 15A27 × Cite Format Result Cite Review PDF Full Text: DOI
Corradetti, Daniele; Marrani, Alessio; Chester, David; Aschheim, Ray Conjugation matters. bioctonionic Veronese vectors and Cayley-Rosenfeld planes. (English) Zbl 07850457 Int. J. Geom. Methods Mod. Phys. 19, No. 9, Article ID 2250142, 21 p. (2022). MSC: 83-XX 53-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rausch de Traubenberg, Michel; Slupinski, Marcus Incidence geometry of the Fano plane and Freudenthal’s ansatz for the construction of octonions and split octonions. (English) Zbl 1519.17003 Innov. Incidence Geom. 19, No. 4, 165-181 (2022). Reviewer: Norbert Knarr (Stuttgart) MSC: 17A75 17A35 51A30 51E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jin Xun; Li, Xing Min; Liao, Jian Quan Hardy spaces over the octonionic Siegel half spaces. (Chinese. English summary) Zbl 1513.30196 Acta Math. Sin., Chin. Ser. 65, No. 3, 523-532 (2022). MSC: 30G35 31B05 31B10 × Cite Format Result Cite Review PDF Full Text: Link
Perotti, Alessandro Cauchy-Riemann operators and local slice analysis over real alternative algebras. (English) Zbl 1503.30113 J. Math. Anal. Appl. 516, No. 1, Article ID 126480, 34 p. (2022). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 31B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nasmith, Benjamin Octonions and the two strictly projective tight 5-designs. (English) Zbl 1492.05027 Algebr. Comb. 5, No. 3, 401-411 (2022). MSC: 05B99 17A75 17C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Zhihao Affine Grassmannians for triality groups. (English) Zbl 1498.14128 J. Algebra 606, 298-322 (2022). MSC: 14M15 14L15 14R10 17B20 20G15 22E67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baracco, Luca; Pinton, Stefano Higher order gradients of monogenic functions. (English) Zbl 1508.30086 J. Geom. Anal. 32, No. 1, Paper No. 14, 25 p. (2022). Reviewer: Ricardo Abreu-Blaya (Chilpancingo) MSC: 30G35 31A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Janusz; Ravanpak, Zohreh Discrete mechanics on unitary octonions. (English) Zbl 07820777 Int. J. Geom. Methods Mod. Phys. 18, No. 6, Article ID 2150093, 20 p. (2021). MSC: 17B66 17Dxx 20N05 22A22 70G45 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Serôdio, Rogério; Beites, P. D.; Vitória, José Bounds for the zeros of unilateral octonionic polynomials. (English) Zbl 1524.11208 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 29, No. 3, 243-267 (2021). MSC: 11R52 12D10 15A60 × Cite Format Result Cite Review PDF Full Text: DOI
Wallach, Nolan R. An evolution in six stages based on triality: a mathematical memoir. (English) Zbl 1495.22006 Int. J. Math. 32, No. 12, Article ID 2140005, 42 p. (2021). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E45 22E46 22E30 12E15 16H05 17A35 17-02 22-02 17C40 53C30 × Cite Format Result Cite Review PDF Full Text: DOI
Ayzenberg, Anton Torus action on quaternionic projective plane and related spaces. (English) Zbl 1487.57043 Arnold Math. J. 7, No. 2, 243-266 (2021). Reviewer: Shintaro Kuroki (Okayama) MSC: 57S12 55R91 57S15 57S25 22F30 57R91 57S17 20G20 57M60 20G41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleinfeld, Erwin; Segev, Yoav A short characterization of the octonions. (English) Zbl 1485.17034 Commun. Algebra 49, No. 12, 5347-5353 (2021). Reviewer: Alberto Elduque (Zaragoza) MSC: 17D05 17A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kızılateş, Can; Polatlı, Emrah New families of Fibonacci and Lucas octonions with \(Q\)-integer components. (English) Zbl 1486.11022 Indian J. Pure Appl. Math. 52, No. 1, 231-240 (2021). Reviewer: Cristina Flaut (Constanta) MSC: 11B39 11R52 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Dou, Xinyuan; Ren, Guangbin; Sabadini, Irene; Yang, Ting Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions. (English) Zbl 1482.30119 J. Geom. Anal. 31, No. 11, 11312-11337 (2021). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 32A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Constales, Denis; Kraußhar, Rolf Sören Octonionic Kerzman-Stein operators. (English) Zbl 1498.30026 Complex Anal. Oper. Theory 15, No. 6, Paper No. 104, 23 p. (2021). Reviewer: Sergey Ludkovsky (Moskva) MSC: 30G35 30H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boydon, Kai Brynne M.; Piccinni, Paolo Clifford systems, Clifford structures, and their canonical differential forms. (English) Zbl 1490.53067 Abh. Math. Semin. Univ. Hamb. 91, No. 1, 101-115 (2021). Reviewer: Gueo Grantcharov (Miami) MSC: 53C26 53C27 53C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tvalavadze, Marina; Motya, Noureddine; Rochdi, Abdellatif Duplication methods for embeddings of real division algebras. (English) Zbl 1478.17002 J. Algebra Appl. 20, No. 8, Article ID 2250063, 24 p. (2021). MSC: 17A35 17A36 × Cite Format Result Cite Review PDF Full Text: DOI
Chukanov, Sergeĭ Nikolaevich The key exchange protocol based on non-commutative elements of Clifford algebra. (Russian. English summary) Zbl 1476.94026 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 21, No. 3, 408-418 (2021). MSC: 94A60 11E88 81P94 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Moran, Tomer; Moran, Shay; Moran, Shlomo Elementary derivations of the Euclidean Hurwitz algebras: adapted from Gadi Moran’s last paper. (English) Zbl 1482.17014 Am. Math. Mon. 128, No. 8, 726-736 (2021). Reviewer: Seidon Alsaody (Uppsala) MSC: 17A75 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Zhenghua Bohr theorems for slice regular functions over octonions. (English) Zbl 1476.30165 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1595-1610 (2021). MSC: 30G35 17A35 × Cite Format Result Cite Review PDF Full Text: DOI
Kraußhar, Rolf Sören Function theories in Cayley-Dickson algebras and number theory. (English) Zbl 1479.30039 Milan J. Math. 89, No. 1, 19-44 (2021). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 11G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Haiyan; Bian, Xiaoli; Liu, Hua Möbius transformation and a version of Schwarz lemma in octonionic analysis. (English) Zbl 1469.30107 Math. Methods Appl. Sci. 44, No. 1, 27-42 (2021). MSC: 30G35 30C80 × Cite Format Result Cite Review PDF Full Text: DOI
Bouhlal, A.; Igbida, J.; Safouane, N. Octonion Fourier transform of Lipschitz real-valued functions of three variables on the octonion algebra. (English) Zbl 1468.30081 J. Pseudo-Differ. Oper. Appl. 12, No. 2, Paper No. 27, 21 p. (2021). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Bashkirov, Evgenii L. On subloops of the loop of invertible elements in the split Cayley-Dickson algebra over a field. (English) Zbl 1479.20048 Commun. Algebra 49, No. 4, 1495-1512 (2021). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 × Cite Format Result Cite Review PDF Full Text: DOI
Roy, Abhinash Kumar; Sahu, Anmol; Singh, Tejinder P. Trace dynamics, and a ground state in spontaneous quantum gravity. (English) Zbl 1456.81181 Mod. Phys. Lett. A 36, No. 4, Article ID 2150019, 14 p. (2021). MSC: 81Q10 81V17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koutsoukou-Argyraki, Angeliki Formalising mathematics – in praxis; a mathematician’s first experiences with Isabelle/HOL and the why and how of getting started. (English) Zbl 1495.68241 Jahresber. Dtsch. Math.-Ver. 123, No. 1, 3-26 (2021). Reviewer: Truong Hoang Le (Hanoi) MSC: 68V20 03B35 68V15 68V35 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Jin, Ming; Ren, Guangbin Global Plemelj formula of slice Dirac operator in octonions with complex spine. (English) Zbl 1461.30116 Complex Anal. Oper. Theory 15, No. 2, Paper No. 33, 19 p. (2021). MSC: 30G35 17A35 × Cite Format Result Cite Review PDF Full Text: DOI
Christian, Joy Retracted: Eight-dimensional octonion-like but associative normed division algebra. (English) Zbl 1453.16017 Commun. Algebra 49, No. 2, 905-914 (2021); retraction note ibid. 49, No. 2, (I) (2021). MSC: 16K20 17C60 × Cite Format Result Cite Review PDF Full Text: DOI
Elduque, Alberto Composition algebras. (English) Zbl 1502.17004 Makhlouf, Abdenacer (ed.), Algebra and applications 1. Non-associative algebras and categories. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 27-57 (2020). Reviewer: Takao Imai (Chiba) MSC: 17A75 17A35 17B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halici, Serpil; Karataş, Adnan Split octonion algebra and its zero divisors. (English) Zbl 1464.17002 Hvedri, Inassaridze (ed.), Tbilisi – mathematics. Special issue on the 8th international Eurasian conference on mathematical sciences and applications, IECMSA-2019, August 27–30, 2019, Baku, Azerbaijan. Berlin: De Gruyter/Sciendo. Tbilisi Math. J. Collect. Spec. Issues 1, 79-86 (2020). MSC: 17A20 16N40 × Cite Format Result Cite Review PDF
Halici, Serpil; Karataş, Adnan On generalization of dual Fibonacci octonions. (English) Zbl 1464.11025 Hvedri, Inassaridze (ed.), Tbilisi – mathematics. Special issue on the 8th international Eurasian conference on mathematical sciences and applications, IECMSA-2019, August 27–30, 2019, Baku, Azerbaijan. Berlin: De Gruyter/Sciendo. Tbilisi Math. J. Collect. Spec. Issues 1, 59-67 (2020). MSC: 11B39 17A20 × Cite Format Result Cite Review PDF
Kollross, Andreas Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane. (English) Zbl 1461.53042 Int. J. Math. 31, No. 7, Article ID 2050051, 28 p. (2020). MSC: 53C35 57S20 17A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Ming; Ren, Guangbin; Sabadini, Irene Slice Dirac operator over octonions. (English) Zbl 1479.30038 Isr. J. Math. 240, No. 1, 315-344 (2020). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ren, Guangbin; Yang, Ting Slice regular functions of several octonionic variables. (English) Zbl 1451.30095 Math. Methods Appl. Sci. 43, No. 9, 6031-6042 (2020). MSC: 30G35 30E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taylor, Michael E. Linear algebra. (English) Zbl 1480.15001 Pure and Applied Undergraduate Texts 45. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5670-2/pbk; 978-1-4704-5918-5/ebook). xiii, 306 p. (2020). Reviewer: Martin Plešinger (Liberec) MSC: 15-01 15Axx 15Bxx × Cite Format Result Cite Review PDF
Kandasamy, Udhayakumar; Rajan, Rakkiyappan Hopf bifurcation of a fractional-order octonion-valued neural networks with time delays. (English) Zbl 1455.34079 Discrete Contin. Dyn. Syst., Ser. S 13, No. 9, 2537-2559 (2020). MSC: 34K37 92B20 34K18 34K20 34K13 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jinxun; Li, Xingmin The octonionic Bergman kernel for the half space. (English) Zbl 1451.30099 Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 57, 11 p. (2020). MSC: 30G35 30H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arizmendi, Gerardo; Herrera, Rafael A binary encoding of spinors and applications. (English) Zbl 1450.15022 Complex Manifolds 7, 162-193 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 15A67 15A66 15A69 53C27 17B10 17B25 20G41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karigiannis, Spiro Introduction to \(\mathrm{G}_2\) geometry. (English) Zbl 1446.53001 Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 3-50 (2020). MSC: 53-01 53C10 53C38 58D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kraußhar, Rolf Sören Differential topological aspects in octonionic monogenic function theory. (English) Zbl 1455.30041 Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 51, 25 p. (2020). Reviewer: Caterina Stoppato (Firenze) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kraußhar, Rolf Sören Conformal mappings revisited in the octonions and Clifford algebras of arbitrary dimension. (English) Zbl 1441.30075 Adv. Appl. Clifford Algebr. 30, No. 3, Paper No. 36, 14 p. (2020). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Ming; Ren, Guangbin Cauchy kernel of slice Dirac operator in octonions with complex spine. (English) Zbl 1435.30142 Complex Anal. Oper. Theory 14, No. 1, Paper No. 17, 24 p. (2020). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Ghanbari, Behzad; Chun, Changbum A constructive method for solving the equation \(X a = b\) in \(\mathbb{R}^n\): a generalization of division in \(\mathbb{R}^n\). (English) Zbl 1437.65042 Appl. Math. Comput. 364, Article ID 124673, 12 p. (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 15A24 15A04 15A03 15A06 65F05 × Cite Format Result Cite Review PDF Full Text: DOI
Cen, Julia; Fring, Andreas Multicomplex solitons. (English) Zbl 1436.35065 J. Nonlinear Math. Phys. 27, No. 1, 17-35 (2020). MSC: 35C08 35Q51 35Q53 74J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Moreno Garzón, Andrés Ricardo; Toquica Arenas, Diana Andrea Octonions: construction, geometry and applications. (Spanish. English summary) Zbl 07802854 Bol. Mat. (N.S.) 26, No. 2, 119-144 (2019). MSC: 17A35 53A20 11R52 × Cite Format Result Cite Review PDF Full Text: Link
Sahin, Murat; Tan, Elif; Yilmaz, Semih The generalized bi-periodic Fibonacci quaternions and octonions. (English) Zbl 1484.11059 Novi Sad J. Math. 49, No. 1, 67-79 (2019). MSC: 11B39 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kilic, Nayil On Horadam octonions. (English) Zbl 1452.05004 Util. Math. 113, 229-242 (2019). MSC: 05A15 05A19 11B39 17A20 11B83 × Cite Format Result Cite Review PDF
Hashimoto, Hideya; Ohashi, Misa On the automorphism groups of isoparametric hypersurfaces of \(S^7\). (English) Zbl 1455.53084 Shoda, Toshihiro (ed.) et al., Differential geometry and Tanaka theory. Differential system and hypersurface theory. Proceedings of the international conference, RIMS, Kyoto University, Japan, January, 24–28, 2011. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 82, 75-85 (2019). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 53C40 53C30 53C15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Gong, Dingdong The singular integrals on the closed piecewise smooth manifolds of octonions. (Chinese. English summary) Zbl 1449.32008 J. Xiamen Univ., Nat. Sci. 58, No. 6, 878-881 (2019). MSC: 32A55 17A42 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Zelikin, M. I.; Osipov, Yu. S. Minimal submanifolds of spheres and cones. (English. Russian original) Zbl 1441.53052 Proc. Steklov Inst. Math. 307, Suppl. 1, S172-S178 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 3, 100-107 (2019). MSC: 53C42 53A10 × Cite Format Result Cite Review PDF Full Text: DOI
Freedman, Michael; Shokrian-Zini, Modjtaba; Wang, Zhenghan Quantum computing with octonions. (English) Zbl 1457.81024 Peking Math. J. 2, No. 3-4, 239-273 (2019). Reviewer: Haozhen Situ (Guangzhou) MSC: 81P68 68Q12 81R15 11R52 81P40 81V27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bektaş, Özcan Split-type octonion matrix. (English) Zbl 1443.15021 Math. Methods Appl. Sci. 42, No. 16, 5215-5232 (2019). MSC: 15B33 15A24 17A35 × Cite Format Result Cite Review PDF Full Text: DOI
Kilic, Nayil On \(k\)-Jacobsthal and \(k\)-Jacobsthal-Lucas octonions. (English) Zbl 1425.11029 JP J. Algebra Number Theory Appl. 41, No. 1, 1-17 (2019). MSC: 11B39 05A15 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Gyenge, Ádám The transition function of \(G_2\) over \(S^6\). (English) Zbl 1429.57033 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 078, 16 p. (2019). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 57S15 55R10 55R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Truini, Piero; Rios, Michael; Marrani, Alessio The magic star of exceptional periodicity. (English) Zbl 1448.17016 Vojtěchovský, Petr (ed.) et al., Nonassociative mathematics and its applications. Fourth mile high conference on nonassociative mathematics, Denver, CO, USA, July 29 – August 5, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 721, 277-297 (2019). MSC: 17B25 17C40 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kauhanen, Janne; Orelma, Heikki On the structure of octonion regular functions. (English) Zbl 1427.30079 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 77, 17 p. (2019). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petyt, Harry Derivations of octonion matrix algebras. (English) Zbl 1508.17005 Commun. Algebra 47, No. 10, 4216-4223 (2019). MSC: 17A36 15B57 17A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Parton, Maurizio; Piccinni, Paolo Parallelizations on products of spheres and octonionic geometry. (English) Zbl 1419.53052 Complex Manifolds 6, 138-149 (2019). MSC: 53C26 53C27 53C35 57R25 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Bustos, Daniel F.; Ripoll, Jaime B.; Bittencourt, Fidelis; Figueiredo, Edson S.; Fusieger, Pedro Minimal isoparametric submanifolds of \(\mathbb{S}^7\) and octonionic eigenmaps. (English) Zbl 1422.53046 Differ. Geom. Appl. 63, 137-144 (2019). Reviewer: Vladimir Yu. Rovenskij (Nesher) MSC: 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shah, Syed Tariq; Razzaque, Asima; Rehman, Inayatur; Gondal, Muhammad Asif; Faraz, Muhammad Iftikhar; Shum, Kar Ping Literature survey on non-associative rings and developments. (English) Zbl 1424.17001 Eur. J. Pure Appl. Math. 12, No. 2, 370-408 (2019). MSC: 17A01 17-02 17C99 17D99 × Cite Format Result Cite Review PDF Full Text: Link
Data, Matias; Osorio, Juliana On the relative projective space. (English) Zbl 1427.14006 Theory Appl. Categ. 34, 58-79 (2019). Reviewer: Aron Heleodoro (Urbana) MSC: 14A22 18M05 × Cite Format Result Cite Review PDF Full Text: arXiv Link