Teali, Aajaz A.; Shah, Firdous A. Clifford-valued Ridgelet transform: localization operators and uncertainty principles. (English) Zbl 07823317 Comput. Methods Funct. Theory 24, No. 1, 205-227 (2024). MSC: 42B10 42C40 15A66 15A67 44A05 47G10 94A12 PDFBibTeX XMLCite \textit{A. A. Teali} and \textit{F. A. Shah}, Comput. Methods Funct. Theory 24, No. 1, 205--227 (2024; Zbl 07823317) Full Text: DOI
Ludewig, Matthias The Clifford algebra bundle on loop space. (English) Zbl 07819251 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 020, 27 p. (2024). MSC: 15A66 53C27 47C15 46L40 46L10 55R15 PDFBibTeX XMLCite \textit{M. Ludewig}, SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 020, 27 p. (2024; Zbl 07819251) Full Text: DOI arXiv
Dinh, Doan Cong Iterated generalized Dirac operators of mixed sides. (English) Zbl 07815047 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 23, 8 p. (2024). MSC: 15A66 30G35 PDFBibTeX XMLCite \textit{D. C. Dinh}, Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 23, 8 p. (2024; Zbl 07815047) Full Text: DOI
Ambily, A. A.; Aparna Pradeep, V. K. Comparison of Petrov’s odd elementary hyperbolic unitary group and Dickson-Siegel-Eichler-Roy elementary orthogonal group. (English) Zbl 07813005 Commun. Algebra 52, No. 3, 1219-1229 (2024). MSC: 19G99 20H25 13C10 11E39 11E70 11E88 PDFBibTeX XMLCite \textit{A. A. Ambily} and \textit{V. K. Aparna Pradeep}, Commun. Algebra 52, No. 3, 1219--1229 (2024; Zbl 07813005) Full Text: DOI
Havel, Timothy F. Heron’s formula in higher dimensions. (English) Zbl 07811900 Adv. Appl. Clifford Algebr. 34, No. 2, Paper No. 9, 30 p. (2024). MSC: 51M04 11E88 15A67 51M25 51M30 52A38 52B11 PDFBibTeX XMLCite \textit{T. F. Havel}, Adv. Appl. Clifford Algebr. 34, No. 2, Paper No. 9, 30 p. (2024; Zbl 07811900) Full Text: DOI OA License
Sobczyk, Garret Geometric algebras of light cone projective graph geometries. (English) Zbl 07811898 Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 7, 22 p. (2024). MSC: 03B30 05C20 15A66 15A75 PDFBibTeX XMLCite \textit{G. Sobczyk}, Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 7, 22 p. (2024; Zbl 07811898) Full Text: DOI arXiv
He, Jiwei; Ye, Yu Clifford deformations of Koszul Frobenius algebras and noncommutative quadrics. (English) Zbl 07809886 Algebra Colloq. 31, No. 1, 63-82 (2024). MSC: 16S37 16E65 16G50 PDFBibTeX XMLCite \textit{J. He} and \textit{Y. Ye}, Algebra Colloq. 31, No. 1, 63--82 (2024; Zbl 07809886) Full Text: DOI arXiv
Casiday, Beata; Contreras, Ivan; Meyer, Thomas; Mi, Sabrina; Spingarn, Ethan Laplace and Dirac operators on graphs. (English) Zbl 07808509 Linear Multilinear Algebra 72, No. 2, 325-365 (2024). MSC: 05C50 05C10 05C90 81Q05 81Q35 15A67 35J10 PDFBibTeX XMLCite \textit{B. Casiday} et al., Linear Multilinear Algebra 72, No. 2, 325--365 (2024; Zbl 07808509) Full Text: DOI arXiv
Depies, Connor M.; Smith, Jonathan D. H.; Ashburn, Mitchell D. Octonions as Clifford-like algebras. (English) Zbl 07804817 J. Algebra 644, 761-795 (2024). MSC: 17D05 17A35 17A45 PDFBibTeX XMLCite \textit{C. M. Depies} et al., J. Algebra 644, 761--795 (2024; Zbl 07804817) Full Text: DOI arXiv
Habib, Georges; Paycha, Sylvie A pseudodifferential analytic perspective on Getzler’s rescaling. (English) Zbl 07803233 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 010, 34 p. (2024). MSC: 58J40 47A53 15A66 PDFBibTeX XMLCite \textit{G. Habib} and \textit{S. Paycha}, SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 010, 34 p. (2024; Zbl 07803233) Full Text: arXiv Link
Grantcharov, Dimitar; Penkov, Ivan; Serganova, Vera Bounded weight modules for basic classical Lie superalgebras at infinity. (English) Zbl 07797058 Eur. J. Math. 10, No. 1, Paper No. 5, 39 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 17B65 17B10 PDFBibTeX XMLCite \textit{D. Grantcharov} et al., Eur. J. Math. 10, No. 1, Paper No. 5, 39 p. (2024; Zbl 07797058) Full Text: DOI arXiv
Corey, Daniel Initial degenerations of spinor varieties. (English) Zbl 07797057 Eur. J. Math. 10, No. 1, Paper No. 4, 41 p. (2024). MSC: 14T05 15A66 52B40 PDFBibTeX XMLCite \textit{D. Corey}, Eur. J. Math. 10, No. 1, Paper No. 4, 41 p. (2024; Zbl 07797057) Full Text: DOI arXiv
Smith, Graham Clifford structures, bilegendrian surfaces, and extrinsic curvature. (English) Zbl 07795575 Geom. Dedicata 218, No. 1, Paper No. 18, 43 p. (2024). Reviewer: Andrea Tamburelli (Houston) MSC: 53A05 15A66 PDFBibTeX XMLCite \textit{G. Smith}, Geom. Dedicata 218, No. 1, Paper No. 18, 43 p. (2024; Zbl 07795575) Full Text: DOI arXiv
Loučka, Pavel; Vašík, Petr Algorithms for conic fitting through given proper and improper waypoints in geometric algebra for conics. (English) Zbl 07793261 Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 6, 22 p. (2024). Reviewer: Maja Petrović (Beograd) MSC: 51-XX 15A66 PDFBibTeX XMLCite \textit{P. Loučka} and \textit{P. Vašík}, Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 6, 22 p. (2024; Zbl 07793261) Full Text: DOI
Xambó-Descamps, Sebastian Geometric algebra speaks quantum esperanto. (English) Zbl 07793256 Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 1, 31 p. (2024). MSC: 15A67 15A66 81R12 81R25 PDFBibTeX XMLCite \textit{S. Xambó-Descamps}, Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 1, 31 p. (2024; Zbl 07793256) Full Text: DOI
Maresin, Innocenti; Sergeev, Armen; Teplyakov, Egor On mathematical aspects of the theory of topological insulators. (English) Zbl 07790981 Acta Math. Sin., Engl. Ser. 40, No. 1, 81-106 (2024). MSC: 82D20 82D55 82B20 81V70 81V74 15A66 55R45 35Q55 PDFBibTeX XMLCite \textit{I. Maresin} et al., Acta Math. Sin., Engl. Ser. 40, No. 1, 81--106 (2024; Zbl 07790981) Full Text: DOI
He, Fuli; Huang, Qian; Ku, Min Riemann-Hilbert problems for axially symmetric null-solutions to iterated generalised Cauchy-Riemann equations in \(\mathbb{R}^{n+1}\). (English) Zbl 07788037 J. Geom. Anal. 34, No. 2, Paper No. 57, 22 p. (2024). MSC: 30G35 15A66 30G20 30E25 PDFBibTeX XMLCite \textit{F. He} et al., J. Geom. Anal. 34, No. 2, Paper No. 57, 22 p. (2024; Zbl 07788037) Full Text: DOI
Galgano, Vincenzo; Holweck, Frédéric Graph states and the variety of principal minors. (English) Zbl 07785702 Ann. Mat. Pura Appl. (4) 203, No. 1, 273-295 (2024). MSC: 14L30 51A50 81R05 PDFBibTeX XMLCite \textit{V. Galgano} and \textit{F. Holweck}, Ann. Mat. Pura Appl. (4) 203, No. 1, 273--295 (2024; Zbl 07785702) Full Text: DOI arXiv OA License
Tyr, Othman Modulus of smoothness and approximation theorems in Clifford analysis. (English) Zbl 07785403 Complex Anal. Oper. Theory 18, No. 1, Paper No. 3, 19 p. (2024). MSC: 42B10 42A38 43A62 43A32 46E35 11E88 PDFBibTeX XMLCite \textit{O. Tyr}, Complex Anal. Oper. Theory 18, No. 1, Paper No. 3, 19 p. (2024; Zbl 07785403) Full Text: DOI
Niedziałomski, Kamil A note on invariant description of \(\mathrm{SU}(2)\)-structures in dimension 5. (English) Zbl 07783585 Result. Math. 79, No. 1, Paper No. 15, 29 p. (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53C27 53C26 53C07 57R15 15A66 PDFBibTeX XMLCite \textit{K. Niedziałomski}, Result. Math. 79, No. 1, Paper No. 15, 29 p. (2024; Zbl 07783585) Full Text: DOI arXiv OA License
Aboumrad, Willie; Scrimshaw, Travis On the structure and representation theory of \(q\)-deformed Clifford algebras. (English) Zbl 07780718 Math. Z. 306, No. 1, Paper No. 10, 28 p. (2024). MSC: 16G10 17B37 81R05 15A66 PDFBibTeX XMLCite \textit{W. Aboumrad} and \textit{T. Scrimshaw}, Math. Z. 306, No. 1, Paper No. 10, 28 p. (2024; Zbl 07780718) Full Text: DOI arXiv
Nurkifayah, Andi; Bahri, Mawardi; Bachtiar, Nasrullah; Rahim, Amran New fundamental inequalities for fractional ambiguity function. (English) Zbl 07774216 Int. J. Math. Comput. Sci. 19, No. 2, 453-458 (2024). MSC: 15A66 42B10 30G35 PDFBibTeX XMLCite \textit{A. Nurkifayah} et al., Int. J. Math. Comput. Sci. 19, No. 2, 453--458 (2024; Zbl 07774216) Full Text: Link
Massopust, Peter R. Clifford-valued fractal interpolation. (English) Zbl 07821042 Som, Tanmoy (ed.) et al., Applied analysis, optimization and soft computing. ICNAAO-2021, Varanasi, India, December 21–23, 2021. Singapore: Springer. Springer Proc. Math. Stat. 419, 33-42 (2023). MSC: 28A80 15A66 PDFBibTeX XMLCite \textit{P. R. Massopust}, Springer Proc. Math. Stat. 419, 33--42 (2023; Zbl 07821042) Full Text: DOI arXiv
Binosi, Giulio Partial slice regularity and Fueter’s theorem in several quaternionic variables. (English) Zbl 07820426 Complex Manifolds 10, Article ID 20230103, 17 p. (2023). MSC: 30G35 PDFBibTeX XMLCite \textit{G. Binosi}, Complex Manifolds 10, Article ID 20230103, 17 p. (2023; Zbl 07820426) Full Text: DOI arXiv OA License
Liu, Xin; Zhang, Yang Matrices over quaternion algebras. (English) Zbl 07806657 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 139-183 (2023). MSC: 15A24 47A62 15B33 15A66 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Zhang}, in: Matrix and operator equations and applications. Cham: Springer. 139--183 (2023; Zbl 07806657) Full Text: DOI
Ören, İdris; Özbektaş, Kader; Yıldırım, Elif Detecting pseudo-similarity invariants of m-hyperbolic numbers. (English) Zbl 07806344 Uzb. Math. J. 67, No. 3, 127-138 (2023). MSC: 51M10 15A66 14L24 PDFBibTeX XMLCite \textit{İ. Ören} et al., Uzb. Math. J. 67, No. 3, 127--138 (2023; Zbl 07806344) Full Text: DOI
Burlakov, I. M. Geometry of linear algebras. (English. Russian original) Zbl 07800774 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). MSC: 15A66 15A30 51M15 PDFBibTeX XMLCite \textit{I. M. Burlakov}, J. Math. Sci., New York 277, No. 5, 711--717 (2023; Zbl 07800774); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 182, 3--9 (2020) Full Text: DOI
Bongardt, Bertold; Löwe, Harald Connections between matrix products for 3-vectors and geometric algebra. (English) Zbl 07800701 Math. Appl., Brno 12, No. 1, 1-25 (2023). MSC: 15A66 15A67 51M30 PDFBibTeX XMLCite \textit{B. Bongardt} and \textit{H. Löwe}, Math. Appl., Brno 12, No. 1, 1--25 (2023; Zbl 07800701) Full Text: DOI
Guseva, N. I.; Lukyanova, E. V. Composition algebras of arbitrary degrees. (English. Russian original) Zbl 07798178 J. Math. Sci., New York 276, No. 6, 708-713 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 181, 16-21 (2020). MSC: 15A66 PDFBibTeX XMLCite \textit{N. I. Guseva} and \textit{E. V. Lukyanova}, J. Math. Sci., New York 276, No. 6, 708--713 (2023; Zbl 07798178); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 181, 16--21 (2020) Full Text: DOI
Simulik, V. M. On the Dirac-like equation in 7-component space-time and generalized Clifford-Dirac algebra. (English) Zbl 07797257 Carpathian Math. Publ. 15, No. 2, 529-542 (2023). MSC: 81Q05 81T20 15A66 15A67 PDFBibTeX XMLCite \textit{V. M. Simulik}, Carpathian Math. Publ. 15, No. 2, 529--542 (2023; Zbl 07797257) Full Text: DOI
Perelman, Carlos Castro The Clifford-Yang algebra, noncommutative Clifford phase spaces and the deformed quantum oscillator. (English) Zbl 07792292 Int. J. Geom. Methods Mod. Phys. 20, No. 5, Article ID 2350078, 15 p. (2023). MSC: 81Q05 81R60 81T75 PDFBibTeX XMLCite \textit{C. C. Perelman}, Int. J. Geom. Methods Mod. Phys. 20, No. 5, Article ID 2350078, 15 p. (2023; Zbl 07792292) Full Text: DOI
Janovská, Drahoslava; Opfer, Gerhard A survey of some recent results on Clifford algebras in \(\mathbb{R}^4\). (English) Zbl 07790536 Appl. Math., Praha 68, No. 5, 571-592 (2023). MSC: 15A06 15A18 15A66 PDFBibTeX XMLCite \textit{D. Janovská} and \textit{G. Opfer}, Appl. Math., Praha 68, No. 5, 571--592 (2023; Zbl 07790536) Full Text: DOI
Chapman, Adam; Levin, Ilan Chain lemma, quadratic forms and symbol length. (English) Zbl 07789449 Bull. Belg. Math. Soc. - Simon Stevin 30, No. 2, 237-245 (2023). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 11E04 11E81 15A66 PDFBibTeX XMLCite \textit{A. Chapman} and \textit{I. Levin}, Bull. Belg. Math. Soc. - Simon Stevin 30, No. 2, 237--245 (2023; Zbl 07789449) Full Text: DOI arXiv Link
Celikbas, Ela; Laxmi, Jai; Weyman, Jerzy Spinor structures on free resolutions of codimension four Gorenstein ideals. (English) Zbl 07784604 Osaka J. Math. 60, No. 4, 903-931 (2023). MSC: 13H05 13H10 15A63 15A66 16W22 PDFBibTeX XMLCite \textit{E. Celikbas} et al., Osaka J. Math. 60, No. 4, 903--931 (2023; Zbl 07784604) Full Text: arXiv Link
Buchweitz, Ragnar-Olaf; Faber, Eleonore; Ingalls, Colin The magic square of reflections and rotations. (English) Zbl 07784571 Rocky Mt. J. Math. 53, No. 6, 1721-1747 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F55 11E88 14E16 15A66 51F15 PDFBibTeX XMLCite \textit{R.-O. Buchweitz} et al., Rocky Mt. J. Math. 53, No. 6, 1721--1747 (2023; Zbl 07784571) Full Text: DOI arXiv Link
Myers, Timothy An ordered tuple construction of geometric algebras. (English) Zbl 07782550 Matematica 2, No. 4, 816-835 (2023). MSC: 15A66 PDFBibTeX XMLCite \textit{T. Myers}, Matematica 2, No. 4, 816--835 (2023; Zbl 07782550) Full Text: DOI
Öztürk, İskender Introduction to Cartan numbers and some geometric applications. (English) Zbl 07782424 Math. Methods Appl. Sci. 46, No. 6, 7514-7542 (2023). MSC: 15A66 15A67 PDFBibTeX XMLCite \textit{İ. Öztürk}, Math. Methods Appl. Sci. 46, No. 6, 7514--7542 (2023; Zbl 07782424) Full Text: DOI
Zhang, Dong; Wang, Gang; Vasil’ev, V. I.; Jiang, Tongsong Algebraic methods for equality constrained least squares problems in commutative quaternionic theory. (English) Zbl 07781269 Math. Methods Appl. Sci. 46, No. 2, 1699-1708 (2023). MSC: 15B33 15A66 PDFBibTeX XMLCite \textit{D. Zhang} et al., Math. Methods Appl. Sci. 46, No. 2, 1699--1708 (2023; Zbl 07781269) Full Text: DOI
Öztürk, İskender; Özdemir, Mustafa On geometric interpretations of split quaternions. (English) Zbl 07781132 Math. Methods Appl. Sci. 46, No. 1, 408-422 (2023). MSC: 15A66 15A67 53A35 22E43 PDFBibTeX XMLCite \textit{İ. Öztürk} and \textit{M. Özdemir}, Math. Methods Appl. Sci. 46, No. 1, 408--422 (2023; Zbl 07781132) Full Text: DOI
Miao, Xin-He; Huang, Zheng-Hai Norms of dual complex vectors and dual complex matrices. (English) Zbl 07776126 Commun. Appl. Math. Comput. 5, No. 4, 1484-1508 (2023). MSC: 11E88 15A60 15A66 PDFBibTeX XMLCite \textit{X.-H. Miao} and \textit{Z.-H. Huang}, Commun. Appl. Math. Comput. 5, No. 4, 1484--1508 (2023; Zbl 07776126) Full Text: DOI
Goldman, Ronald Dual quaternions and their associated Clifford algebras. (English) Zbl 07775711 Boca Raton, FL: CRC Press (ISBN 978-1-032-50296-0/hbk; 978-1-003-39814-1/ebook). (2023). MSC: 15-01 15A67 PDFBibTeX XML Full Text: DOI
Es-saiydy, Mohssine; Zitane, Mohamed Dynamics analysis of delayed fuzzy Clifford-valued model: a case of Equi-Weyl almost periodic environment. (English) Zbl 07761038 Comput. Appl. Math. 42, No. 8, Paper No. 342, 18 p. (2023). MSC: 15A66 03E72 37Fxx 34C27 34D23 92B20 PDFBibTeX XMLCite \textit{M. Es-saiydy} and \textit{M. Zitane}, Comput. Appl. Math. 42, No. 8, Paper No. 342, 18 p. (2023; Zbl 07761038) Full Text: DOI
Navarro-Lérida, Francisco; Radu, Eugen; Tchrakian, D. H. The role of the Callan-Witten anomaly density as a Chern-Simons term in Skyrme model. (English) Zbl 07759257 J. Phys. A, Math. Theor. 56, No. 46, Article ID 465401, 23 p. (2023). MSC: 81P68 60K50 35C08 78A35 15A66 PDFBibTeX XMLCite \textit{F. Navarro-Lérida} et al., J. Phys. A, Math. Theor. 56, No. 46, Article ID 465401, 23 p. (2023; Zbl 07759257) Full Text: DOI arXiv
He, Zhekun; Wan, Jinkui Zelevinsky involution and degenerate affine Hecke-Clifford algebras. (English) Zbl 07758464 Front. Math. (Beijing) 18, No. 1, 47-63 (2023). MSC: 20C08 05E10 PDFBibTeX XMLCite \textit{Z. He} and \textit{J. Wan}, Front. Math. (Beijing) 18, No. 1, 47--63 (2023; Zbl 07758464) Full Text: DOI
Gomi, Kiyonori; Yamashita, Mayuko Differential \(KO\)-theory via gradations and mass terms. (English) Zbl 07757042 Adv. Theor. Math. Phys. 27, No. 2, 381-481 (2023). MSC: 81V74 19L50 15A66 31A35 PDFBibTeX XMLCite \textit{K. Gomi} and \textit{M. Yamashita}, Adv. Theor. Math. Phys. 27, No. 2, 381--481 (2023; Zbl 07757042) Full Text: DOI arXiv
Barry, Demba; Tignol, Jean-Pierre Trialitarian triples. (English) Zbl 07753241 Doc. Math. 28, No. 4, 939-1026 (2023). MSC: 11E88 17A75 16K20 PDFBibTeX XMLCite \textit{D. Barry} and \textit{J.-P. Tignol}, Doc. Math. 28, No. 4, 939--1026 (2023; Zbl 07753241) Full Text: DOI arXiv
Teali, Aajaz A. Spacetime linear canonical transform and the uncertainty principles. (English) Zbl 07751532 Mediterr. J. Math. 20, No. 6, Paper No. 301, 19 p. (2023). Reviewer: Ahmed I. Zayed (Chicago) MSC: 44A05 15A66 42B10 PDFBibTeX XMLCite \textit{A. A. Teali}, Mediterr. J. Math. 20, No. 6, Paper No. 301, 19 p. (2023; Zbl 07751532) Full Text: DOI
Deme, Barnabás; Fouvry, Jean-Baptiste Milankovitch equations with spinors. (English) Zbl 07750851 Celest. Mech. Dyn. Astron. 135, No. 5, Paper No. 47, 11 p. (2023). MSC: 70F15 15A66 PDFBibTeX XMLCite \textit{B. Deme} and \textit{J.-B. Fouvry}, Celest. Mech. Dyn. Astron. 135, No. 5, Paper No. 47, 11 p. (2023; Zbl 07750851) Full Text: DOI arXiv
Guédénon, Thomas Brauer-Clifford group of Poisson \((S,H)\)-Hopf algebras. (English) Zbl 07739699 Sarajevo J. Math. 19(32), No. 1, 41-62 (2023). MSC: 16K50 17B63 16T05 PDFBibTeX XMLCite \textit{T. Guédénon}, Sarajevo J. Math. 19(32), No. 1, 41--62 (2023; Zbl 07739699) Full Text: DOI
Mankoč Borštnik, N. S. How Clifford algebra helps understand second quantized quarks and leptons and corresponding vector and scalar boson fields, opening a new step beyond the standard model. (English) Zbl 07735283 Nucl. Phys., B 994, Article ID 116326, 45 p. (2023). MSC: 81V72 81P55 46A32 15A67 70S15 81Q12 81V05 81V15 PDFBibTeX XMLCite \textit{N. S. Mankoč Borštnik}, Nucl. Phys., B 994, Article ID 116326, 45 p. (2023; Zbl 07735283) Full Text: DOI arXiv
Hu, Yong; Laghribi, Ahmed; Sun, Peng Chow groups of quadrics in characteristic two. (English) Zbl 07734972 J. Number Theory 253, 188-214 (2023). MSC: 14C15 14C35 14C25 11E04 19E08 PDFBibTeX XMLCite \textit{Y. Hu} et al., J. Number Theory 253, 188--214 (2023; Zbl 07734972) Full Text: DOI arXiv
Shilin, I. A.; Choi, Junesang On some relations between hyper Bessel-Clifford, Macdonald and Meijer functions and hyper Hankel-Clifford integral transforms. (English) Zbl 07726281 Integral Transforms Spec. Funct. 34, No. 10, 788-798 (2023). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 33C80 33C20 33C10 44A20 22E30 22E43 PDFBibTeX XMLCite \textit{I. A. Shilin} and \textit{J. Choi}, Integral Transforms Spec. Funct. 34, No. 10, 788--798 (2023; Zbl 07726281) Full Text: DOI
Bueno Rogerio, R. J.; Cavalcanti, R. T.; Hoff da Silva, J. M.; Coronado Villalobos, C. H. Revisiting Takahashi’s inversion theorem in discrete symmetry-based dual frameworks. (English) Zbl 07722167 Phys. Lett., A 481, Article ID 129028, 5 p. (2023). MSC: 81R25 81Q05 22E70 81R20 15A67 PDFBibTeX XMLCite \textit{R. J. Bueno Rogerio} et al., Phys. Lett., A 481, Article ID 129028, 5 p. (2023; Zbl 07722167) Full Text: DOI arXiv
Lenzen, Fabian Clifford-symmetric polynomials. (English) Zbl 07714758 Commun. Algebra 51, No. 9, 3981-4011 (2023). MSC: 16W50 15A66 17A70 13F20 PDFBibTeX XMLCite \textit{F. Lenzen}, Commun. Algebra 51, No. 9, 3981--4011 (2023; Zbl 07714758) Full Text: DOI arXiv
Hong, Doojin Spectra of higher spin operators on the sphere. (English) Zbl 07706682 Kyungpook Math. J. 63, No. 1, 105-122 (2023). Reviewer: Salah Mehdi (Metz) MSC: 58C40 57R15 53C27 53C30 15A66 PDFBibTeX XMLCite \textit{D. Hong}, Kyungpook Math. J. 63, No. 1, 105--122 (2023; Zbl 07706682) Full Text: DOI arXiv
Trindade, Marco A. S.; Lula-Rocha, Vinícius N. A.; Floquet, S. Clifford algebras, quantum neural networks and generalized quantum Fourier transform. (English) Zbl 07701781 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 38, 28 p. (2023). MSC: 68-XX 81-XX PDFBibTeX XMLCite \textit{M. A. S. Trindade} et al., Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 38, 28 p. (2023; Zbl 07701781) Full Text: DOI arXiv
Li, Wenxin; Lian, Pan The Fourier transform associated to the \(k\)-hyperbolic Dirac operator. (English) Zbl 07687966 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 26, 20 p. (2023). MSC: 47E07 43A32 42A38 15A66 17B10 17B65 33C45 33C80 33C50 26A33 PDFBibTeX XMLCite \textit{W. Li} and \textit{P. Lian}, Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 26, 20 p. (2023; Zbl 07687966) Full Text: DOI
Buchweitz, Ragnar-Olaf; Faber, Eleonore; Ingalls, Colin; Lewis, Matthew McKay quivers and Lusztig algebras of some finite groups. (English) Zbl 07679241 Algebr. Represent. Theory 26, No. 2, 433-469 (2023). MSC: 20F55 05E10 16G20 16S35 16S37 20C30 PDFBibTeX XMLCite \textit{R.-O. Buchweitz} et al., Algebr. Represent. Theory 26, No. 2, 433--469 (2023; Zbl 07679241) Full Text: DOI arXiv
Kuznetsova, Zhanna; Toppan, Francesco Beyond the 10-fold way: 13 associative \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded superdivision algebras. (English) Zbl 07677708 Adv. Appl. Clifford Algebr. 33, No. 2, Paper No. 24, 22 p. (2023). MSC: 16K40 16W50 15A66 PDFBibTeX XMLCite \textit{Z. Kuznetsova} and \textit{F. Toppan}, Adv. Appl. Clifford Algebr. 33, No. 2, Paper No. 24, 22 p. (2023; Zbl 07677708) Full Text: DOI arXiv
Podlogar, Gregor Finite solvable groups with a rational skew-field of noncommutative real rational invariants. (English) Zbl 07675441 Commun. Algebra 51, No. 6, 2268-2292 (2023). MSC: 16W22 20C15 16K40 20C25 20F22 PDFBibTeX XMLCite \textit{G. Podlogar}, Commun. Algebra 51, No. 6, 2268--2292 (2023; Zbl 07675441) Full Text: DOI arXiv
Dotti, Edoardo; Drewitz, Simon T.; Kellerhals, Ruth Cusp density and commensurability of non-arithmetic hyperbolic Coxeter orbifolds. (English) Zbl 07661302 Discrete Comput. Geom. 69, No. 3, 873-895 (2023). Reviewer: Stratos Prassidis (Karlovasi) MSC: 22E40 57M50 11E88 20F55 PDFBibTeX XMLCite \textit{E. Dotti} et al., Discrete Comput. Geom. 69, No. 3, 873--895 (2023; Zbl 07661302) Full Text: DOI
Ghiloni, Riccardo; Recupero, Vincenzo On the generators of Clifford semigroups: polynomial resolvents and their integral transforms. (English) Zbl 07648430 J. Math. Anal. Appl. 521, No. 1, Article ID 126905, 19 p. (2023). MSC: 47Axx 30Gxx 47Dxx PDFBibTeX XMLCite \textit{R. Ghiloni} and \textit{V. Recupero}, J. Math. Anal. Appl. 521, No. 1, Article ID 126905, 19 p. (2023; Zbl 07648430) Full Text: DOI arXiv
Sriraman, Ramalingam; Rajchakit, Grienggrai; Kwon, Oh-Min; Lee, Sang-Moon Stability analysis for delayed Cohen-Grossberg Clifford-valued neutral-type neural networks. (English) Zbl 07812756 Math. Methods Appl. Sci. 45, No. 17, 10925-10945 (2022). MSC: 92B20 34K20 37B25 15A66 PDFBibTeX XMLCite \textit{R. Sriraman} et al., Math. Methods Appl. Sci. 45, No. 17, 10925--10945 (2022; Zbl 07812756) Full Text: DOI
Pavšič, Matej A new perspective on quantum field theory revealing possible existence of another kind of fermions forming dark matter. (English) Zbl 07801187 Int. J. Geom. Methods Mod. Phys. 19, No. 12, Article ID 2250184, 50 p. (2022). MSC: 81T05 81T08 81S08 81S10 PDFBibTeX XMLCite \textit{M. Pavšič}, Int. J. Geom. Methods Mod. Phys. 19, No. 12, Article ID 2250184, 50 p. (2022; Zbl 07801187) Full Text: DOI arXiv
Noris, Ruggero; Fatibene, Lorenzo Spin frame transformations and Dirac equations. (English) Zbl 07797554 Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2250004, 25 p. (2022). MSC: 53C27 57R15 15A67 15A66 83C99 PDFBibTeX XMLCite \textit{R. Noris} and \textit{L. Fatibene}, Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2250004, 25 p. (2022; Zbl 07797554) Full Text: DOI arXiv
Hitzer, Eckhard On factorization of multivectors in \(Cl(2, 1)\) by exponentials and idempotents. (English) Zbl 07781388 Math. Methods Appl. Sci. 45, No. 16, 9504-9519 (2022). MSC: 15A66 16U40 15A23 15A29 PDFBibTeX XMLCite \textit{E. Hitzer}, Math. Methods Appl. Sci. 45, No. 16, 9504--9519 (2022; Zbl 07781388) Full Text: DOI
Akar, Mutlu A generalization of Euler’s formula in Clifford algebras. (English) Zbl 07780637 Math. Methods Appl. Sci. 45, No. 7, 4069-4080 (2022). MSC: 15A66 11E88 15A75 15A03 PDFBibTeX XMLCite \textit{M. Akar}, Math. Methods Appl. Sci. 45, No. 7, 4069--4080 (2022; Zbl 07780637) Full Text: DOI
Akar, Mutlu; Sirakov, Nikolay M.; Mete, Mutlu Clifford algebra multivectors and kernels for melanoma classification. (English) Zbl 07780636 Math. Methods Appl. Sci. 45, No. 7, 4056-4068 (2022). MSC: 92C32 15A67 68T05 PDFBibTeX XMLCite \textit{M. Akar} et al., Math. Methods Appl. Sci. 45, No. 7, 4056--4068 (2022; Zbl 07780636) Full Text: DOI
Vasilescu, Florian-Horia Functions and operators in real, quaternionic, and Cliffordian contexts. (English) Zbl 07643714 Complex Anal. Oper. Theory 16, No. 8, Paper No. 117, 28 p. (2022). Reviewer: Dmitrii Legatiuk (Erfurt) MSC: 47S05 47A60 47A10 47A20 30G35 15A66 47-02 PDFBibTeX XMLCite \textit{F.-H. Vasilescu}, Complex Anal. Oper. Theory 16, No. 8, Paper No. 117, 28 p. (2022; Zbl 07643714) Full Text: DOI
Gromada, Daniel Some examples of quantum graphs. (English) Zbl 07632578 Lett. Math. Phys. 112, No. 6, Paper No. 122, 49 p. (2022). MSC: 20G42 05C25 18M25 18M40 PDFBibTeX XMLCite \textit{D. Gromada}, Lett. Math. Phys. 112, No. 6, Paper No. 122, 49 p. (2022; Zbl 07632578) Full Text: DOI arXiv
Bi, Wenshan; Cheng, Dong; Liu, Wankai; Kou, Kit Ian A robust color edge detection algorithm based on the quaternion Hardy filter. (English) Zbl 07562305 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1238-1260 (2022). MSC: 68U05 15A67 30G35 42B10 PDFBibTeX XMLCite \textit{W. Bi} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1238--1260 (2022; Zbl 07562305) Full Text: DOI arXiv
Kraljević, Hrvoje The structure of the algebra \((\mathcal{U}(\mathfrak{g})\otimes C(\mathfrak{p}))^K\) for the groups \(\mathrm{SU}(n,1)\) and \(\mathrm{SO}_e (n,1)\). (English) Zbl 07544424 Math. Commun. 27, No. 1, 11-18 (2022). MSC: 20G05 16S30 PDFBibTeX XMLCite \textit{H. Kraljević}, Math. Commun. 27, No. 1, 11--18 (2022; Zbl 07544424) Full Text: Link
Ata, Erhan; Savci, Ümit Ziya Spherical kinematics in 3-dimensional generalized space. (English) Zbl 07825877 Int. J. Geom. Methods Mod. Phys. 18, No. 3, Article ID 2150033, 18 p. (2021). MSC: 15B33 15A66 70E17 PDFBibTeX XMLCite \textit{E. Ata} and \textit{Ü. Z. Savci}, Int. J. Geom. Methods Mod. Phys. 18, No. 3, Article ID 2150033, 18 p. (2021; Zbl 07825877) Full Text: DOI
Brouwer, Nils; Recoules, Vanina; Holzwarth, Natalie; Torrent, Marc Calculation of optical properties with spin-orbit coupling for warm dense matter. (English) Zbl 07695583 Comput. Phys. Commun. 266, Article ID 108029, 9 p. (2021). MSC: 82D35 93C80 82M36 15A66 70M20 PDFBibTeX XMLCite \textit{N. Brouwer} et al., Comput. Phys. Commun. 266, Article ID 108029, 9 p. (2021; Zbl 07695583) Full Text: DOI
McClellan, Gene E. Operators and field equations in the electroweak sector of particle physics. (English) Zbl 07420427 Adv. Appl. Clifford Algebr. 31, No. 4, Paper No. 65, 35 p. (2021); correction ibid. 32, No. 5, Paper No. 62, 2 p. (2022). MSC: 81Qxx 15A67 PDFBibTeX XMLCite \textit{G. E. McClellan}, Adv. Appl. Clifford Algebr. 31, No. 4, Paper No. 65, 35 p. (2021; Zbl 07420427) Full Text: DOI
Trindade, Marco A. S.; Floquet, Sergio; Vianna, J. David M. A general formulation based on algebraic spinors for the quantum computation. (English) Zbl 07819416 Int. J. Geom. Methods Mod. Phys. 17, No. 14, Article ID 2050206, 21 p. (2020). MSC: 15A66 15A67 PDFBibTeX XMLCite \textit{M. A. S. Trindade} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 14, Article ID 2050206, 21 p. (2020; Zbl 07819416) Full Text: DOI arXiv
Perelman, Carlos Castro A note on Jordan algebras, three generations and exceptional periodicity. (English) Zbl 07808552 Int. J. Geom. Methods Mod. Phys. 17, No. 5, Article ID 2050071, 12 p. (2020). MSC: 15A66 17C40 17C60 17C90 PDFBibTeX XMLCite \textit{C. C. Perelman}, Int. J. Geom. Methods Mod. Phys. 17, No. 5, Article ID 2050071, 12 p. (2020; Zbl 07808552) Full Text: DOI
Erişir, Tülay; Güngör, Mehmet Ali On Fibonacci spinors. (English) Zbl 07808345 Int. J. Geom. Methods Mod. Phys. 17, No. 4, Article ID 2050065, 13 p. (2020). MSC: 15A66 11R52 PDFBibTeX XMLCite \textit{T. Erişir} and \textit{M. A. Güngör}, Int. J. Geom. Methods Mod. Phys. 17, No. 4, Article ID 2050065, 13 p. (2020; Zbl 07808345) Full Text: DOI
Lim, Lek-Heng; Ye, Ke Ubiquity of the exponent of matrix multiplication. (English) Zbl 07300045 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 8-11 (2020). MSC: 68W30 PDFBibTeX XMLCite \textit{L.-H. Lim} and \textit{K. Ye}, in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 8--11 (2020; Zbl 07300045) Full Text: DOI
Belfakir, A.; Belhaj, A.; El Maadi, Y.; Ennadifi, S. E.; Hassouni, Y.; Segui, A. Stringy dyonic solutions and Clifford structures. (English) Zbl 07804180 Int. J. Geom. Methods Mod. Phys. 16, No. 9, Article ID 1950138, 16 p. (2019). MSC: 83C57 83E30 83E50 PDFBibTeX XMLCite \textit{A. Belfakir} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 9, Article ID 1950138, 16 p. (2019; Zbl 07804180) Full Text: DOI arXiv
Hadfield, H.; Lasenby, J. Direct linear interpolation of geometric objects in conformal geometric algebra. (English) Zbl 07111360 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 85, 25 p. (2019). MSC: 65-XX 68-XX 15A67 PDFBibTeX XMLCite \textit{H. Hadfield} and \textit{J. Lasenby}, Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 85, 25 p. (2019; Zbl 07111360) Full Text: DOI
Chandragiri, Sreelatha; Shishkina, Olga A. Generalized Bernoulli numbers and polynomials in the context of the Clifford analysis. (English) Zbl 07325399 J. Sib. Fed. Univ., Math. Phys. 11, No. 2, 127-136 (2018). MSC: 11B68 15A66 PDFBibTeX XMLCite \textit{S. Chandragiri} and \textit{O. A. Shishkina}, J. Sib. Fed. Univ., Math. Phys. 11, No. 2, 127--136 (2018; Zbl 07325399) Full Text: DOI MNR