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Data si locul nasterii: 3 ianuarie 1973, Valenii de Munte, judetul Prahova.

Educatia: A absolvit Facultatea de Matematica, sectia matematica-cercetare a Universitatii Bucuresti in 1996.
Teza de doctorat: A sustinut doctoratul cu teza: "Noi rezultate in teoria inelelor graduate si a algebrelor Hopf" in anul 2000 la Universitatea din Bucuresti.
Pozitii academice: A fost preparator in perioada 1998-2000, asistent 2000-2002, iar din 2002 in prezent este Lector la Catedra de Algebra.
Domenii de interes stiintific: Teoria grupurilor, Inele si module graduate, Algebre Hopf, Teoria categoriilor, Algebre Lie, Grupuri cuantice.

Articole stiintifice

  1. Modules Graded by G-Sets. Duality and Finiteness Conditions, J. Algebra 195(1997), nr.2, 624-633 (cu S.Dascalescu si L.Grünenfelder).
  2. A Generalization of the Quasi-Hopf Algebra Dω(G), Comm. Algebra, 26(1998), nr.12, 4125-4141 (cu F.Panaite).
  3. Injective Modules Graded by G-Sets, Comm. Algebra, 27(1999), nr.7, 3537-3543.
  4. On the antipode of semi-Hopf algebras and braided semi-Hopf algebras, Rev. Roumaine Math. Pures Appl, 44(1999), nr.3, 329-340.
  5. Quantum traces and quantum dimension for quasi-Hopf algebras, Comm. Algebra, 27(1999), nr.12, 6103-6122 (cu F.Panaite si F.V.Oystaeyen).
  6. Quasi-Hopf algebra actions and smash product, Comm. Algebra, 28(2000), nr.2, 631-651 (cu F.Panaite si F.V.Oystaeyen).
  7. Relative Hopf modules for (dual) quasi-Hopf algebras, J. Algebra, 229(2000), nr.2, 632-659 (cu E.Nauwelaerts).
  8. Radford's biproduct for quasi-Hopf algebras and bosonization, J.Pure Appl. Algebra, 174(2002), nr.1, 1-42 (cu E.Nauwelaerts).
  9. Dual Drinfel'd double by diagonal crossed coproduct, Rev. Roum. Math. Pures Appl., 47(2002), nr.3, 271-294 (cu B.Chirita).
  10. Dual quasi-Hopf algebra coactions, smash coproducts and relative Hopf modules, Rev. Roum. Math. Pures Appl., 47(2002), nr.4, 415-443 (cu E.Nauwelaerts).
  11. Quasitriangular and ribbon quasi-Hopf algebras, Comm.Algebra, 31(2003), nr.2, 657-672.(cu E.Nauwelaerts)
  12. The quantum double for quasitriangular quasi-Hopf algebras, Comm.Algebra, 31(2003), nr.3, 1403-1425 (cu S.Caenepeel)
  13. Integrals for (dual) quasi-Hopf algebras. Applications, J.Algebra, 266(2003), nr.2, 552-583 (cu S.Caenepeel)
  14. Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras, J.Algebra, 270(2003), nr.1, 55-95 (cu S.Caenepeel)
  15. Factorizable quasi-Hopf algebras, applications, J.Pure Appl. Algebra, 194(2004), nr.1-2, 39-84 (cu B.Torrecillas)
  16. More properties of Yetter-Drinfeld modules over quasi-Hopf algebras. Hopf algebras in noncommutative geometry and physics, 89-112, Lecture Notes in Pure and Appl. Math., 239, Dekker, New York, 2005 (cu S.Caenepeel, Fl.Panaite)
  17. Yetter-Drinfeld categories for quasi-Hopf algebras, Comm. Algebra, 34(2006), nr.1, 1-35 (cu S.Caenepeel, Fl.Panaite)
  18. Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications. Comm.Math.Phys., 266(2006), nr.2, 355-399 (cu Fl.Panaite, F.Van Oystaeyen)
  19. Doi-Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras, Comm.Algebra, 34(2006), nr.9, 3413-3449 (cu S.Caenepeel, B.Torrecillas)
  20. Two-sided two-cosided Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras, Appl.Categ.Structures, 14(2006), nr.5-6, 503-530 (cu B.Torrecillas)
  21. Radford's S4 formula for co-Frobenius Hopf algebras, J.Algebra, 307(2007), nr.1, 330-342 (cu M.Beattie, B.Torrecillas)



Actualizat: 12 noiembrie 2007


ALGEBRE HOPF, GRUPURI CUANTICE, REPREZENTARI SI CATEGORII TENSORIALE

  

CNCSIS TE cod 45, contract nr.88/02.08.2010 finantat de UEFISCDI (CNCS), program PNII Resurse Umane 2007-2013

English version:

Descriere succinta a proiectului de cercetare

Studiem cateva probleme de interes curent in teoria algebrelor hopf, legate de produse incrucisate, algebre hopf punctate, si teoria reprezentarii algebrelor hopf si generalizari. Vizam de asemenea sa extindem si sa studiem metode categoricale in algebre hopf, cum ar fi categorii monoidale, braided si tensoriale, si sa examinam cateva probleme generale categoricale legate de aceastea.

Director de proiect

Asistent Dr. Miodrag C Iovanov, Facultatea de Matematica si Informatica a Universitatii din Bucuresti.

Echipa de cercetare a grantului:

  • Asistent Dr. Miodrag C Iovanov
  • CSIII Sebastian Burciu
  • Lector Dr. Adriana Balan (Steleanu)
  • drd. Ana Agore (on leave from UB)

Cercetare sprijinita financiar de acest grant:

Articole:

  • M.C.Iovanov, S. Raianu, The Bijectivity of the Antipode Revisited", acceptata spre publicare, Comm. Algebra (special issue); Arxiv
  • S. Burciu, Normal Coideal Subalgebras of Semisimple Hopf Algebras, AGMP-6 Proceedings, Journal of Physics - Conference Series, acceptat 2011.
  • A.Agore, G.Militaru, Unified products and split extensions of Hopf algebras, 15 pag, acceptat 2012, va aparea in AMS Contemporary Math.
  • M.C.Iovanov, Generalized Frobenius Algebras and Hopf Algebras, 33 pagini, acceptat spre publicare 2012, Canadian Journal of Mathematics.
    http://arxiv.org/abs/0803.0775
    http://cms.math.ca/10.4153/CJM-2012-060-7
  • M.C.Iovanov, FSZ-groups and Frobenius-Schur Indicators of Quantum Double, 19 pag, trimis spre publicare revista ISI, preprint arxiv:
    http://arxiv.org/abs/1208.4153
  • M.C.Iovanov, Serial Categories, Quantum Groups and the Pure Semisimplicity Conjecture, preprint 34 pp.

Prezentari la conferinte:

  • A.Agore, participare la conferinta Hopf Algebras and Tensor Categories, Almeria, Spania, Iulie 2011, cu prezentare “Produse bicrossed pentru algebre Hopf”.
  • Adriana Balan, participare la conferinta Category Theory, Algebra and Geometry, Louvain-la- Neuve, Belgia, Mai 2011.
  • Adriana Balan, participare la conferinta Hopf Algebras and Tensor Categories, Almeria, Spania, Iulie 2011.
  • Sebastian Burciu, participare la conferinta Quantum Theory and Symmetry 7, Praga, Czech Republik, August 7-13 2011, cu prezentarea ”Kernels of representations of representations of semisimple Hopf algebras”. Aici a avut porilejul sa intalneasca numerosi matematicieni si fizicieni specialisti in grupuri quantice.
  • M.C.Iovanov, participare la conferinta AMS Joint Meetings, New Orleans, SUA, Ianuarie 2011, cu prezentare “Hopf algebras from graphs”.
  • M.C.Iovanov, participare la conferinta Hopf Algebras and Tensor Categories, Almeria, Spania, Iulie 2011, cu prezentare “Path and Incidence co-algebras, Frobenius properties and a class of Hopf algebras”.
  • M.C.Iovanov, participare la conferinta Western Section Meeting Fall 2011, Salt Lake City, USA, Octombrie 2011, cu prezentare “On the integrality of the Frobenius-Schur indicators of Tensor Categories”.
  • Sebastian Burciu, participare la conferinta “Algebra Geometry Mathematical Physics”, Brno Czech Republic, September 12-14, 2012 cu prezentare ”On the irreducible representations of generalized quantum doubles”.
  • M.C.Iovanov, participare la conferinta internationala “Maurice Auslander Distinguised Lectures and International Conference ”, Aprilie 24 – Mai 1, 2012, cu prezentare.
  • A.Agore, participare la conferinta internationala “AMS-SSMR Joint Inernational Meetings, Alba Iulia, 26-30 Iunie 2013”, cu prezentare.
  • M.C.Iovanov, organizator al unei sectiuni speciale “Hopf algebras, coalgebras, and their categories of representations”, in cadrul “AMS-SSMR Joint Inernational Meetings, Alba Iulia, 26-30 Iunie 2013”.
  • M.C.Iovanov, participare la conferinta “Conerence of the Americas”, Guanajuato, Mexic, 5-9 August 2013, cu prezentare.

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