English Version

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



Geometrie de contact, complexa si quaternionica pe varietati conforme si Riemann

  

GEOMETRIE DE CONTACT, COMPLEXA SI QUATERNIONICA PE VARIETATI CONFORME SI RIEMANN



Contractul CEEX Modulul I Nr. 2-Cex 06-11-22/25.07.06


Director: Prof.Dr. Stere Ianus



 Organizarea proiectului

 Prezentarea tehnico-stiintifica

 Desfasurarea proiectului

 Raport Etapa I
       Constructions in Sasakian geometry (Charles P.Boyer, Krzysztof Galicki, Liviu Ornea)
       Embeddings of Compact Sasakian Manifolds (Liviu Ornea, Misha Verbitsky)


 Raport Etapa II
       Stochastic Characterization of Harmonic maps on Riemannian Polyhedra (M.A.Aprodu, T.Bouziane)
       Harmonicity on cosymplectic manifolds (Catalin Gherghe)
       On a class of Twistorial maps (Radu Pantilie)


romb albastru Raport Etapa III

 Raport Etapa IV
       Every point is critical (Imre Barany, Jin-ichi Itoh, Costin Vilcu and Tudor Zamfirescu)
       On a construction of harmonic riemannian submersions (Monica Alice Aprodu)
       Pseudo-horizontally weakly conformal maps on Riemannian manifolds and Riemannian polyhedra (Monica Alice Aprodu)
       PHH Harmonic Submersions are Stable (Monica Alice Aprodu)
       On a gauge invariant functional (Catalin Gherghe)
       Convex polytopes passing through circles (Tudor Zamfirescu)
       Some remarks on simple closed geodesics of surfaces with ends (Jin-Ichi Itoh, Fumiko Ohtsuka and Tudor Zamfirescu)
       Harmonic maps between quaternionic Kaehler manifolds (S.Ianus, R.Mazzocco and G.E.Vilcu)


romb albastru Raport Etapa V
      Morse-Novikov cohomology of locally conformally Kahler manifols (Liviu Ornea, Misha Verbitsky)
      On complex infinite-dimensional Grassmann manifolds (Daniel Beltita, Jose E. Gale)
      Biharmonic and bianalytic maps (Michele Benyounes, Eric Loubeau, Radu Slobodeanu)
      A Class of Integrable Flows on the Space of Symmetric Matrices (Anthony M. Bloch, Vasile Brinzanescu, Arieh Iserles, Jerold E. Marsden, Tudor S. Ratiu)
      Eigenvalues of harmonic almost submersions (E. Loubeau, R. Slobodeanu)
      On the geometrized Skyrme and Faddeev models (Radu Slobodeanu)
      A special class of holomorphic mappings and the Faddeev-Hopf model (Radu Slobodeanu)
      Hypersurfaces of paraquaternionic space forms (Stere Ianus, Gabriel Eduard Vilcu)
      Einstein-Weyl structures on complex manifolds and conformal version of Monge-Ampere equation (Liviu Ornea, Misha Verbitsky)
      Invariant generalized complex and Kahler structures on Lie groups (Dmitri V. Alekseevsky, Liana David)


 Scientific Program


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