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Grupuri, grupuri cuantice, coringuri si teoria reprezentarii

Groups, quantum groups, corings and representation theory



Contract nr. 24/28.09.2007 din cadrul PN-II, programul "Idei"


Director: Prof.Dr. Gigel Militaru



Articole publicate—Published papers

  1. B. Ion, Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials, J. Algebra, 319 (2008), 3480-3517.
  2. M.C. Iovanov, J. Vercruysse, Cofrobenius corings and adjoint functors, Journal of Pure and Applied Algebra, Vol. 212 (2008), Issue 9, 2011-2146.
  3. M.C. Iovanov, Frobenius Extensions of Corings, Commun. Algebra 36 (2008), no. 3, 869-892.
  4. M.C. Iovanov, C. Nastasescu, B. Torrecillas-Jover, The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras, J. Algebra 320 (2008), 2144-2155.
  5. A.L. Agore, G. Militaru, Crossed Product of groups. Applications. Arabian J. Sci. and Engineering (AJSE), 33 (2008), 1-17
  6. A. L. Agore, A. Chirvasitu, B. Ion, G. Militaru: Bicrossed products for finite groups, Algebras and Representation Theory, 12(2009), 481-488
  7. M. Beattie, M.C. Iovanov, S. Raianu, The Antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective, Algebras and Representation Theory 12 (2009), 251-255.
  8. M.C. Iovanov, The Generating Condition for Coalgebras, Bulletin of the London Mathematical Society 41 (2009), no.3, 483-494.
  9. M.C. Iovanov, When does the Rational Torsion Split off for Finitely Generated Modules, Algebras and Representation theory (2009), no. 2-5, 287-309.
  10. B. Ion, Generalized exponents of small representations. I, Representation Theory, 13 (2009) 401-426.
  11. G. Militaru, Serre Theorem for involutory Hopf algebras, Centr. Eur. J. Math, Vol. 8, Issue 1 (2010), 15-21.
  12. A. L. Agore, D. Fratila, Crossed products of cyclic groups, acceptat pentru publicare in Czechoslovak Mathematical Journal.
  13. A. L. Agore, Categorical constructions for Hopf algebras, acceptat spre publicare in Commun. Algebra.
  14. A.L. Agore, Monomorphisms of coalgebras, acceptat spre publicare in Colloq. Math.
  15. M.C. Iovanov, L. Kadison, "When is a weak quasi-Hopf algebra Frobenius", acceptat spre publicare in Proc. AMS.
  16. A. L. Agore, G. Militaru, Deformation of a matched pair and Schreirer type theorems for bicrossed product of groups, trimis spre publicare
  17. A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, acceptat spre publicare in Proc. Amer. Math Soc.
  18. B. Ion, A Poincare-Birkhoff-Witt theorem for Hopf algebras with central coradical, trimis spre publicare
  19. B. Ion, Generalized exponents of small representations. II., va apre in Representation Theory.
  20. M.C. Iovanov, Abstract Integrals in Algebra, trimis spre publicare.
  Echipa proiectului—The team of the project:
    - Ana Loredana Agore (ana.agore  fmi.unibuc.ro)
    - Bogdan Ion,
    - Dragos Fratila (dragos.fratila  fmi.unibuc.ro)
    - Gigel Militaru,
    - Miodrag Cristian Iovanov (pagina personala)

  Rezumatul proiectului—Abstract of the project

  Gradul de implicare al tinerilor cercetatori—The young people of the project

  Obiectivele programului - Project Objectives

  Bugetul

  Obiective si activitati si gradul de realizare. Rezultate obtinute—Objectives, Activities. Results

  Actiuni desfasurate in cadrul programului

  Rapoarte
        2007
            - Raport de sinteza detaliat
            - Raport de autoevaluare

        2008
            - Raport de sinteza detaliat
            - Raport de autoevaluare

        2009 etapa intermediara
            - Raport de sinteza detaliat
            - Deviz post calcul

        2009 etapa finala
            - Raport de sinteza detaliat
            - Raport de autoevaluare


  Expunerea la sedinta publica de monitorizare CNCSIS 30.10.09: performanta si cheltuieli din grant



Scan Statistics si Aplicatii

 


Tema de cercetare: "Scan statistics si aplicatii"

se desfasoara in cadrul programului "BRANCUSI" de colaborare Romano-Franceza de catre Colectivul de Cercetare in Informatica,
condus de Prof.dr. I.Vaduva.



Colectivul de cercetare:

  Prof.dr. Ion Vaduva (coordonator de tema)
  Prof.dr. Denis Enachescu
  Lect.dr. Marius Popescu
  Asist.dr. Florentina Suter
  Asist. Mariana Cidota


Colaborarea se realizeaza intre Centrul de cercetari in Informatica medicala (CERIM) al Universitatii Lille2 si Colectivul de cercetare in Informatica al Facultatii de Matematica si Informatica, Universitatea din Bucuresti.

Colaborarea se desfasoara pe anii 2005 - 2006. Partea franceza studiaza aproximari ale statisticii scan bidimensionale. Partea romana studiaza estimarea repartitiei statisticii scan pentru un domeniu plan in care punctele sunt generate de un proces Poisson bidimensional uniform.

In final se va obtine un test din care se verifica daca incidenta geografica a unei boli (intr-un teritoriu) este aleatoare (si deci normala!), sau este determinata de cauze ce ar trebui investigate.

O aplicatie practica se va realiza cu date furnizate de partea franceza din zona geografica Lille.

Tema face parte din planul intern al FMI si este finantata partial de MEC.





2002 - 2015 -- Facultatea de Matematica si Informatica, Universitatea din Bucuresti
Str. Academiei nr. 14, sector 1, C.P. 010014, Bucuresti, Romania
Tel: (4-021) 314 2863, Fax: (4-021) 315 6990, secretariat  fmi.unibuc.ro