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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"
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
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Scan Statistics si Aplicatii
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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.
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.
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