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  • 1 University of Sousse, ISSAT, Sousse, Tunisia
  • | 2 University of Sfax, BP 802, 3038 Sfax, Tunisia
  • | 3 University of Carthage, IPEIN, Sousse, Tunisia
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Over the (1, 1)-dimensional real supercircle, we consider the K(1)-modules Dλ,μk of linear differential operators of order k acting on the superspaces of weighted densities, where K(1) is the Lie superalgebra of contact vector fields. We give, in contrast to the classical setting, a classification of these modules. This work is the simplest superization of a result by Gargoubi and Ovsienko.

  • [1]

    Agrebaoui, B., Ben Ammar, M., Ben Fraj, N. and Ovsienko, V., Deformations of Modules of Differential Forms, J. Nonlinear Math Phys., 10:2 (2003), 148156, DOI: 10.2991/jnmp.2003.10.2.3.

    • Search Google Scholar
    • Export Citation
  • [2]

    Basdouri, I., Ben Ammar, M., Ben Fraj, N., Boujelbene, M. and Kammoun, K., Cohomology of the Lie superalgebra of contact vector fields on K1|1 and deformations of the superspace of symbols, J. Nonlinear Math. Phys., 16:4 (2009), 373409, DOI: 10.1142/ S1402925109000431.

    • Search Google Scholar
    • Export Citation
  • [3]

    Basdouri, I. and Ben Ammar, M., Cohomology of osp(1|2) with coefficients in Dλ,μ, Lett. Math. Phys., 81:3 (2007), 239251.

  • [4]

    Ben Fraj, N. and Omri, S., Deforming the Lie Superalgebra of Contact Vector Fields on S1|1 Inside the Lie Superalgebra of Superpseudodifferential Operators on S1|1, J. Nonlinear Math. Phys., 13:1 (2006), 1933, DOI: 10.2991/jnmp.2006.13.1.3.

    • Search Google Scholar
    • Export Citation
  • [5]

    Ben Fraj, N. and Omri, S., Deforming the Lie superalgebra of contact vector fields on S1|2 inside the Lie superalgebra of pseudodifferential operators on S1|2, Theor. Math. Phys., 163:2 (2010), 618633.

    • Search Google Scholar
    • Export Citation
  • [6]

    Ben Fraj, N., Laraiedh, I. and Omri, S., Supertransvectants, cohomology and deformations, J. Math. Phys., 54:2 (2013), 023501; http://dx.doi.org/10.1063/1.4789539.

    • Search Google Scholar
    • Export Citation
  • [7]

    Conley, C. H., Conformal symbols and the action of Contact vector fields over the superline, J. Reine Angew. Math., 633 (2009), 115163.

    • Search Google Scholar
    • Export Citation
  • [8]

    Conley, C. H., Equivalence classes of subquotients of supersymmetric pseudodifferential operator modules, arXiv: 1310.3302v1 [math.RT].

    • Search Google Scholar
    • Export Citation
  • [9]

    Duval, C. and Ovsienko, V., Space of second order linear Differential Operators as a module over the Lie algebra of vector fields, Adv. in Math., 132:2 (1997), 316333.

    • Search Google Scholar
    • Export Citation
  • [10]

    Gargoubi, H., Sur la géométrie de l’espace des opérateurs différentiels linéaires sur ℝ, Bull. Soc. Roy. Sci. Liège., 69:1 (2000), 2147.

    • Search Google Scholar
    • Export Citation
  • [11]

    Gargoubi, H., Mellouli, N. and Ovsienko, V., Differential operators on supercircle: conformally equivariant quantization and symbol calculus, Lett. Math. Phys., 79 (2007), 5165.

    • Search Google Scholar
    • Export Citation
  • [12]

    Gieres, F. and Theisen, S., Superconformally covariant operators and super Walgebras, J. Math. Phys., 34 59645985 (1993).

  • [13]

    Gargoubi, H. and Ovsienko, V., Space of linear differential operators on the real line as a module over the Lie algebra of vector fields, Internat. Math. Res. Notices., 5 (1996), 235251.

    • Search Google Scholar
    • Export Citation
  • [14]

    Gargoubi, H. and Ovsienko, V., Modules of Differential Operators on the Real Line, Functional Analysis and Its Applications., 35:1 (2001), 1318.

    • Search Google Scholar
    • Export Citation
  • [15]

    Gargoubi, H. and Ovsienko, V., Supertransvectants and symplectic geometry, Internat. Math. Res. Notices., 2008 ID rnn021; arXiv: 0705.1411v1 [math-ph].

    • Search Google Scholar
    • Export Citation
  • [16]

    Grozman, P., Leites, D. and Shchepochkina, I., Lie superalgebras of string theories, Acta Mathematica Vietnamica., 26:1 (2001), 2763; arXiv: hep-th/9702120.

    • Search Google Scholar
    • Export Citation
  • [17]

    Leites, D., Introduction to the theory of supermanifolds, Uspekhi Mat. Nauk., 35:1 (1980), 357; translated in english in Russian Math. Surveys, 35:1 (1980),164.

    • Search Google Scholar
    • Export Citation
  • [18]

    Lecomte, P. B. P., Mathonet, P. and Tisset, E., Comparison of some modules of the Lie algebra of vector fields, Indag. Math. N.S., 7:4 (1996), 461471.

    • Search Google Scholar
    • Export Citation
  • [19]

    Mathonet, P., Intertwining operators between some spaces of differential operators on manifold, Comm.Algebra., 27:2 (1999), 755776.

  • [20]

    Nijenhuis, A. and Richardson, R. W., Jr., Deformations of homomorphisms of Lie groups and Lie algebras, Bull. Amer. Math. Soc., 73 (1967), 175179.

    • Search Google Scholar
    • Export Citation
  • [21]

    Radul, A. O., Non-trivial central extensions of Lie algebras of differential operators in two higher dimensions, Phys. Lett. B., 265 (1991), 8691.

    • Search Google Scholar
    • Export Citation

Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

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Gábor SÁGI (Rényi Institute of Mathematics)

Editorial Board

  • Imre BÁRÁNY (Rényi Institute of Mathematics)
  • Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
  • Péter CSIKVÁRI (ELTE, Budapest) 
  • Joshua GREENE (Boston College)
  • Penny HAXELL (University of Waterloo)
  • Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
  • Ron HOLZMAN (Technion, Haifa)
  • Satoru IWATA (University of Tokyo)
  • Tibor JORDÁN (ELTE, Budapest)
  • Roy MESHULAM (Technion, Haifa)
  • Frédéric MEUNIER (École des Ponts ParisTech)
  • Márton NASZÓDI (ELTE, Budapest)
  • Eran NEVO (Hebrew University of Jerusalem)
  • János PACH (Rényi Institute of Mathematics)
  • Péter Pál PACH (BME, Budapest)
  • Andrew SUK (University of California, San Diego)
  • Zoltán SZABÓ (Princeton University)
  • Martin TANCER (Charles University, Prague)
  • Gábor TARDOS (Rényi Institute of Mathematics)
  • Paul WOLLAN (University of Rome "La Sapienza")

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
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2020  
Total Cites 536
WoS
Journal
Impact Factor
0,855
Rank by Mathematics 189/330 (Q3)
Impact Factor  
Impact Factor 0,826
without
Journal Self Cites
5 Year 1,703
Impact Factor
Journal  0,68
Citation Indicator  
Rank by Journal  Mathematics 230/470 (Q2)
Citation Indicator   
Citable 32
Items
Total 32
Articles
Total 0
Reviews
Scimago 24
H-index
Scimago 0,307
Journal Rank
Scimago Mathematics (miscellaneous) Q3
Quartile Score  
Scopus 139/130=1,1
Scite Score  
Scopus General Mathematics 204/378 (Q3)
Scite Score Rank  
Scopus 1,069
SNIP  
Days from  85
sumbission  
to acceptance  
Days from  123
acceptance  
to publication  
Acceptance 16%
Rate

2019  
Total Cites
WoS
463
Impact Factor 0,468
Impact Factor
without
Journal Self Cites
0,468
5 Year
Impact Factor
0,413
Immediacy
Index
0,135
Citable
Items
37
Total
Articles
37
Total
Reviews
0
Cited
Half-Life
21,4
Citing
Half-Life
15,5
Eigenfactor
Score
0,00039
Article Influence
Score
0,196
% Articles
in
Citable Items
100,00
Normalized
Eigenfactor
0,04841
Average
IF
Percentile
13,117
Scimago
H-index
23
Scimago
Journal Rank
0,234
Scopus
Scite Score
76/104=0,7
Scopus
Scite Score Rank
General Mathematics 247/368 (Q3)
Scopus
SNIP
0,671
Acceptance
Rate
14%

 

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Studia Scientiarum Mathematicarum Hungarica
Language English
French
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Size B5
Year of
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1966
Publication
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2021 Volume 58
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per Year
1
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Founder Magyar Tudományos Akadémia
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ISSN 0081-6906 (Print)
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