Publications - Ágota Figula

  • Á. Figula,  Geodesic loops, Journal of Lie Theory, Vol. 10, pp. 455-461, 2000.  pdf
  • Á. Figula, K. Strambach,  Affine extensions of loops, Abh. Math. Sem.  Univ. Hamburg, Vol. 74, pp. 151-162, 2004. pdf
  • Á. Figula,  3-dimensional Bol loops as sections in non-solvable Lie groups, Forum Math, Vol. 17, No. 3, pp. 431-460, 2005. pdf
  • Á. Figula,  3-dimensional loops on non-solvable reductive spaces, Advances in Geometry, Vol. 5, pp. 399-428, 2005.  pdf
  • Á. Figula, Bol loops as sections in semi-simple Lie groups of small  dimension, Manuscripta Math., Vol. 121, pp. 367-384, 2006. pdf
  • Á. Figula,  Affine reductive spaces of small dimension and left A-loops, Result.  Math., Vol. 49, pp. 45-79, 2006. pdf 
  • Á. Figula, 3-dimensional Bol loops corresponding to solvable Lie triple systems,  Publ. Math. Debrecen,  Vol. 70, No 1-2, pp. 59-101, 2007. pdf 
  • Á. Figula, K. Strambach, Loops  which are semidirect products of groups, Acta Math. Hung., Vol. 114, No. 3, pp. 247-266, 2007. pdf 
  • Á. Figula, K. Strambach, Loops on spheres having a compact-free inner mapping group, Monatsh. Math., Vol. 156, pp. 123-140. 2008. pdf
  • Á. Figula, The multiplication group of 2-dimensional topological loops, J. Group Theory., Vol. 12, No. 3,  pp. 419-429, 2009. pdf
  • Á. Figula, K. Strambach, Subloop incompatible Bol loops, Manuscripta Math., Vol. 130, Issue 2, pp. 183-199, 2009. pdf
  • Á. Figula, Topological loops with three-dimensional solvable left translation group, Aequationes Math., Vol. 79, pp. 83-97, 2010. pdf
  • Á. Figula, Á. Száz, Graphical relationships between the infimum and intersection convolutions, Mathematica Pannonica,  Vol. 21, No. 1, pp. 23-35, 2010. pdf
  • Á. Figula, On the multiplication group of three-dimensional topological loops, J. Lie Theory,Vol. 21, pp. 385-415, 2011. pdf
  • Á. Figula, K. Strambach, Extensions of groups by weighted Steiner loops, Results Math., Vol. 59, pp. 251-278, 2011. pdf
  • Á. Figula, Three-dimensional loops as sections in a four-dimensional solvable Lie group, Proc. of the conference Iscia Group Theory, Iscia, Apr. 14-17., World Scientific Publishing,  pp. 13, 2012. pdf
  • Á. Figula, Octonions, Proc. of the 1st BIOMICS Summer Workshop, Editors: P. Dini, G. Horváth, University of Debrecen, Hungary, 17-19 July 2013, pp. 41-50, 2013. pdf
  • Á. Figula, Three-dimensional topological loops with solvable multiplication groups, Communications in Algebra, Vol. 42, 2014, 444-468. pdf
  • Á. Figula, Multiplication groups of topological loops, Journal of Mathematical Sciences, Vol. 193, no. 3, 2013, 428-432. pdf
  • Á. Figula, Quasi-simple Lie groups as multiplication groups of topological loops, Advances in Geometry, Vol. 15, 2015,  315-331. pdf
  • Á. Figula, Lie groups as multiplication groups of topological loops, J. Math. Sci. Vol. 218, no. 6, 2016,  pp. 742-747,  pdf
  • Ágota Figula, Vakhtang Kvaratskhelia, Some numerical characteristics of Sylvester and Hadamard matrices, Publicationes Debrecen, Vol 86, no. 1-2, 2015,149-168. pdf
  • Ágota Figula, Margherita Lattuca, Three-dimensional topological loops with nilpotent multiplication groups, J. Lie Theory, Vol. 25, no. 3, 2015, 787-805. pdf
  • Giovanni Falcone, Ágota Figula, The action of a compact Lie group on nilpotent Lie algebras of type , 2015, Forum Math., Vol. 28, Issue: 4, 2016, 795-806, DOI:10.1515/forum-2014-0170, pdf
  • Giovanni Falcone, Ágota Figula, Karl Strambach, Multiplicative loops of 2-dimensional topological quasifields, 2016, Communications in Algebra, Vol. 44, 2016, 2592-2620, DOI: 10.1080/00927872.2015.1053905. pdf
  • Ágota Figula, Marina Z. Menteshashvili, On the geometry of the domain of the solution of nonlinear Cauchy problem, in the book: Lie groups, differential equations and geometry, Palermo: Springer Verlag, Italia, UNIPA Springer Series, pp. 205-221, 2017, DOI: 10.1007/978-3-319-62181-4_9 pdf
  • Ágota Figula, Karl Strambach, Loops as sections in compact Lie groups, Abhandlungen Math. Sem. Univ. Hamburg, 87, (1), pp. 61-68, 2017, DOI: 10.1007/s12188-016-0128-3, pdf
  • G. Falcone, Á. Figula, K. Strambach, Multiplicative Loops of Quasifields Having Complex Numbers as Kernel, RESULTS IN MATHEMATICS, Vol. 72, 2129-2156, 2017, DOI: 10.1007/s00025-017-0699-z, 2017, pp. 28.  pdf
  • Á. Figula, Multiplicative Loops of Topological Quasifields, Banach Center Publications, Vol. 113, 123-134, 2018, DOI: 10.4064/bc113-0-8,  pdf
  • Á. Figula, P.T. Nagy, Isometry classes of simply connected nilmanifolds, Journal of Geometry and Physics vol. 132, 2018, 370-381.  pdf
  • Á. Figula, K. Ficzere, A. Al-Abayechi, Topological loops with six-dimensional solvable multiplication groups having five-dimensional nilradical. Ann. Math. Inform. 50 (2019), 71–87. 
  • Á. Figula, G. Horváth, T. Milkovszki, Z. Muzsnay, The Lie symmetry group of the general Liénard-type equation,  J. Nonlinear Math. Phys. 27 (2020), no. 2, 185–198. 
  • Á. Figula, A. Al-Abayechi, Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent. Int. J. Group Theory 9 (2020), no. 2, 81–94.
  • O. Belova, G. Falcone, Á. Figula, J. Mikes, P. T. Nagy, H. Wefelscheid, Our friend and mathematician Karl Strambach. Results Math. 75 (2020), no. 2, Paper No. 69, 23 pp. 
  •  Á. Figula, P. T. Nagy, Tangent prolongation of Cr-differentiable loops. Publ. Math. Debrecen 97 (2020), no. 1-2, 241–252. 
  • G. Falcone, Á. Figula, C. Hannusch, Steiner loops of affine type. Results Math. 75 (2020), no. 4, Paper No. 148, 25 pp. 

  • A. Al-Abayechi, Á. Figula, Geodesic vectors and flat totally geodesic subalgebrasin nilpotent metric Lie algebras. Algebra (Russian), 10–23, Itogi Nauki Tekh. Ser. Sovrem. Mat. Prilozh. Temat. Obz., 177, Vseross. Inst. Nauchn. i Tekhn. Inform. (VINITI), Moscow, 2020.

  •  Á. Figula, P. T. Nagy, Inverse property of nonassociative abelian extensions. Comment. Math. Univ. Carolin. 61 (2020), no. 4, 501–511. 

  • Á. Figula, A. Al-Abayechi, Topological loops having solvable indecomposable lie groups as their multiplication groups. Transform. Groups 26 (2021), no. 1, 279–303. 

  • A. Al-Abayechi, Á. Figula, Topological loops with decomposable solvable multiplication groups, Results Math. accepted (2021)

  • Á. Figula, P.T. Nagy, Akivis algebra of tangent prolongation of a differentiable loop, submitted, pp. 14 (2021) pdf

  • Á. Figula, G. Lomjaria, Differential equations having a given Lie symmetry group, submitted, pp. 41 (2021) pdf

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Last update: 2023. 07. 05. 14:01