fmi.unibuc.ro/ro/grant_ID_1002

Raport de monitorizare – proiectul nr.24/29.09.2009

« Grupuri, grupuri cuantice, coringuri si teoria reprezentarii »

http://fmi.unibuc.ro/ro/grant_ID_1002/

• Competitia iunie 2007: 98 puncte, locul 2-3 din 93 de proiecte

• Echipa proiectului

1) prof. dr. Gigel Militaru : director de proiect, UB

2) asistent dr. Miodrag Cristian Iovanov: UB si State University of New

York, Buffalo, doctorand/doctor din 2009

3) asistent dr. Bogdan Ion, University of Pittsburgh si UB din 2008

4) student Ana Loredana Agore, UB, masterand anul VI

5) student Dragos Fratila, UB, masterand anul V

http://fmi.unibuc.ro/ro/grant_ID_1002/


• Etapa 2008 : 1 ianuarie 2008 – 15 iulie 2008 Criteriile de performanta, conform anexei II b) din contract: 1 articol in reviste cotata ISI si 1

articol in reviste recenzate in baze de date. Articole publicate in reviste cotate ISI raportate la 15 iulie 2008: 4 articole [1] B. Ion, Standard bases for affine parabolic modules and nonsymmetricMacdonald 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, Communications in Algebra 36 (2008), no. 3, 869-

892. [4] M.C. Iovanov, C. Nastasescu, B. Torrecillas-Jover, The Dickson Subcategory SplittingConjecture for Pseudocompact Algebras, va aparea, Journal of Algebra, vol. 320 (2008). Alte 6 articole au fost elaborate in aceasta etapa si trimise spre publicare.

Raport de monitorizare – proiectul nr.24/29.09.2009Etapa 2009 : 16 iulie 2008 – 15 septembrie 2009

Criteriile de performanta, conform anexei II b) din contract: 1 articol in reviste cotate ISI si 1 articol in reviste recenzate in baze de date.

Articole publicate raportate la 16 septembrie 2009: 7 articole publicate/acceptate in

reviste cotate ISI si 1 articol ([8]) in reviste recenzata in baza de date internationale. [1] A. L. Agore, A. Chirvasitu, B. Ion, G. Militaru: Bicrossed products for finite groups,

Algebras and Representation Theory, 12(2009), 481-488 (acceptat 29 octombrie 2008) [2] A.L. Agore, G. Militaru, Crossed Product of groups. Applications. Arabian J. Sci. and Engineering (AJSE), 33 (2008), 1-17 (acceptat in 17 septembrie 2008) [3] 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. [4] M.C. Iovanov, The Generating Condition for Coalgebras, Bulletin of the London

Mathematical Society 41 (2009), no.3, 483-494.


Etapa 2009 : 16 iulie 2008 – 15 septembrie 2009 - continuare

[5] M.C. Iovanov, When does the Rational Torsion Split off for Finitely Generated Modules , Algebras and Representation theory (2009), no. 2-5, 287-309.

[6] A. L. Agore, D. Fratila, Crossed products of cyclic groups, acceptat pentru publicare in Czechoslovak Mathematical Journal in 1 septembrie 2009.

[7] M.C. Iovanov, L. Kadison, „When is a weak quasi-Hopf algebra Frobenius”, acceptata spre publicare in Proceedings of the American Mathematical Society in ianuarie 2009, 10p.

[8] B. Ion, Generalized exponents of small representations. I. Acceptata spre publicare in Representation Theory, acceptat pentru publicare pe 21 iunie 2009.

Alte 7 articole au fost elaborate in aceasta etapa si trimise spre publicare (vezi anexa)


Situatia cheltuielilor efectuate

• Cheltuieli de personal etapa 2009 :

prof. dr. Gigel Militaru : 29 910, 31 RON

asistent dr. Miodrag Iovanov: 21 945,87 RON

asistent dr. Bogdan Ion: 21 526, 36 RON

student Ana Agore: 14 305,86 RON

student Dragos Fratila: 14 305,86 RON

• Cheltuieli mobilitati etapa 2009

asistent dr. Miodrag Iovanov: 26 000, 20 RON

prof. dr. Gigel Militaru : 4 789, 91 RON

student Ana Agore: 4 789, 91 RON

student Dragos Fratila: 4 084, 98 RON


• Obiectiv asumat al Proiectului de Cercetare: Seminarul Stiintific Studentesc de Algebra (SSSA). Are loc in fiecare zi de joi, incepind cu 1 octombrie 2007, ora 14, sala 215

Rezultate SSSA cuantificate in articole stiintifice scrise de studenti la probleme de cercetare propuse in cadrul SSSA in primii doi ani de existenta:

arXiv:0907.2881 On epimorphisms and monomorphisms of Hopf algebras. Alexandru Chirvasitu va apare in J. Algebra

arXiv:0809.0433 Crossed Product of Cyclic Groups. Ana-Loredana Agore, Dragos Fratila. va apare in Czechoslovak Mathematical Journal

arXiv:0903.5060 Deformations of a matched pair and Schreier type theorems for bicrossed product of groups. A. L. Agore, G. Militaru, trimis spre publicare

arXiv:0902.4012 When is the diagonal functor Frobenius? Alexandru Chirvasitu, trimis spre publicare

arXiv:0905.2613 Categorical Constructions for Hopf Algebras. A. L. Agore, trimis spre publicare

Limits of coalgebras, bialgebras and Hopf algebras, A. L. Agore, trimis spre publicare

arXiv:0908.2959 Monomorphisms of Coalgebras. A. L. Agore, trimis spre publicare

http://front.math.ucdavis.edu/0907.2881


http://front.math.ucdavis.edu/author/A.Chirvasitu



http://front.math.ucdavis.edu/author/A.Agore

http://front.math.ucdavis.edu/author/D.Fratila




Anexa: Articole trimise spre publicare in etapa 2009

[1] A. L. Agore, G. Militaru, Deformation of a marched pair and Schreirer type theorems for bicrossed product of groups, trimis spre publicare in 29 Martie 2009.

[2] G. Militaru, Serre Theorem for involutory Hopf algebras, trimis spre publicare in 13 iulie 2009. acceptat pentru publicare in octombrie 2009 in Central E. J. Math (Springer).

[3] A. L. Agore, Categorical constructions for Hopf algebras, trimis spre publicare in 22 iulie 2009

[4] A.L. Agore, Monomorphisms of coalgebras, trimisa spre publicare in 24 august 2009.

[5] B. Ion, A Poincare-Birkhoff-Witt theorem for Hopf algebras with central coradical, trimis spre publicare in 10 Mai 2009

[6] B. Ion, Generalized exponents of small representations. II., trimis spre publicare in 18 Iunie 2009

[7] M.C. Iovanov, Abstract Integrals in Algebra, trimis spre publicare.

fmi.unibuc.ro/ro/grant_ID_1002

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