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

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

Pentru studenti:

Geometrie analitica (actualizat);

Geometrie computationala (actualizat 6 oct. 2009);

Data si locul nasterii: 25 Noiembrie 1968, Sibiu.
Educatia: Absolvent al Facultatii Matematica, Universitatea Bucuresti, in 1993.
Teza de doctorat: Doctor in matematica din 1998 cu teza "Corespondenta Kobayashi-Hitchin pentru ecuatii de tip vortex cuplate cu campuri Higgs", Universitatea Zürich.
Pozitii academice: Preparator din 1993, asistent din 1997, lector din 2005.
Cursuri predate: A tinut seminarii de Geometrie si Geometrie Diferentiala.

Articole stiintifice

On conformally semi-symmetric connections (cu L.Nicolescu si I.E.Hirica), Analele Univ. Oradea, Fasc. Matematica, Tom V, (1995-1996), 135-149.
Champs m-speciaux dans l'algebre de deformations (cu L.Nicolescu si I.E.Hirica), Analele Univ. Oradea, Fasc. Matematica, Tom V, (1995-1996), 119-134.
Sur les courbes caracteristiques associées a l'algebre de deformation des deux connexions lineaires, Studii si Cercetari Matematice, 5-6 (49), 1997, 423-427.
Dimensional reduction of monopole equations, Math. Reports, 3 (53) (2001), 3, 293-303.
The Kobayashi-Hitchin correspondence for vortex-type equations coupled with Higgs fields (I), Math. Reports, 3 (53) (2001), 4, 425-444.
The Kobayashi-Hitchin correspondence for vortex-type equations coupled with Higgs fields (II), Math. Reports, 4 (54) (2002), 1, 123-142.
Quotients in algebraic and symplectic geometry, Annual Report 2002, Mathematical Institute, Leiden University, 5-12.
On the monopole equations, Revue Roumaine Math. Pures et Appliqu�es, 48 (2003), 3, 311-326.
Stability in linear problems, Preprint MI-2003-22, Universitatea Leiden, 2003.
Rings of invariants for representations of quivers (cu M.Halic), C.R. Acad. Sci. Paris, Ser.I 340 (2005), 135-140.
Un studiu privind invatarea spatiilor vectoriale (cu C. Voica), Proceedings CAIM 13, Romai Educational Journal 1 (2006), 64-72.
Reprezentari mentale ale conceptelor de algebra liniara (cu C.Voica), in curs de aparitie in Bull. SSM, Proceedings al Conferintei SSM, mai 2006.
Teaching Linear Algebra to students in Informatics (cu C.Voica), in curs de aparitie in Proceedings CAIM 14.

Actualizat: 31 mai 2007