Project Summary:

Annual scientific reports (in romanian): 2011, 2012

Actual annual expenses: 2011, 2012

Published/Accepted papers in ISI journals (the impact factor for 2011 is given):

1. S. Burciu, S. Natale - Fusion rules of equivariantizations of fusion categories, Journal of Mathematical Physics, 54(2013), 013511; DOI: 10.1063/1.4774293 (IF: 1.291). Link
2. A. L. Agore, G. Militaru - Classifying complements for Hopf algebras and Lie algebras, Journal of Algebra, 391(2013), 193-208 (IF: 0,613) Link
3. A. L Agore – Coquasitriangular structures for extensions of Hopf algebras, Glasgow Math. J. 55 (2013), 1-15. (IF: 0.571)
4. A. L. Agore, C. G. Bontea, and G. Militaru – Classifying coalgebra split extensions of Hopf algebras, J. Algebra Appl. 12 (2013), 1-24. (IF: 0.483)
5. A. L. Agore, G. Militaru – Unified products and split extensions of Hopf algebras, Contemporary Math. AMS, Vol. 585 (2013), 1-15.
6. A. L. Agore, S. Caenepeel, G. Militaru – The center of the category of bimodules and descent data for non-commutative rings, J. Algebra Appl. 11 (2012), 1-17. (IF: 0.483)
7. G. Militaru – Representable functors for corings, Comm. Algebra 40 (2012), no.5, 1766-1796. (IF: 0.347)
8. A. L. Agore and G. Militaru – Schreier type theorems for bicrossed products, Cent. Eur. J. Math. 10 (2012), no.2, 722-739. (IF: 0.440)
9. A. L. Agore, G. Militaru – Extending structures for Lie algebras, accepted for publications in Monatshefte für Mathematik (IF: 0,616)
10. A. L. Agore, G. Militaru – Classifying complements for Hopf algebras and Lie algebras, accepted for publication in Journal of Algebra, DOI: 10.1016/j.jalgebra.2013.06.012 (IF: 0,613)
11. A.L. Agore, S. Caenepeel, G. Militaru – Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, in press Applied Cat. Structures – DOI: 10.1007/s10485-012-9294-3. (IF: 0.600)
12. A.L. Agore, G. Militaru – Extending structures I: the level of groups, in press, Algebr. Represent. Theory, DOI: 10.1007/s10468-013-9420-4. (IF: 0.595)
13. A. L. Agore, C. G. Bontea, G. Militaru – Classifying bicrossed products of Hopf algebras, in press Algebr. Represent. Theory, DOI:10.1007/s10468-012-9396-5. ( IF: 0.595).
14. S. Burciu – Kernels of representations of Drinfel’d doubles of finite groups, accepted for publications in Cent. Eur. J. Math. (IF: 0.440)
15. S. Burciu – Subgroups of odd depth – a necessary condition, accepted for publications in Czechoslovak J. Math. (IF: 0.262)
16. C. G. Bontea – Classifying bicrossed products of two Sweedler.s Hopf algebras, accepted for publications in Czechoslovak J. Math. (IF: 0.262)

Papers submitted for publication:

1. S. Burciu – On coideal subalgebras of cocentral Kac algebras and a generalization of Wall’s conjecture, submitted.
2. S. Burciu – On the irreducible representations of generalized quantum doubles, submitted
3. A. L. Agore, G. Militaru – Classifying complements for groups. Applications, submitted
4. A. L. Agore, C. G. Bontea, and G. Militaru – The classification of all crossed products H4 # k[Cn], submitted
5. A. L. Agore, G. Militaru – The extending structures problem for algebras, submitted.
6. V. Chari, B. Ion – BGG reciprocity for current algebras, submitted.

Dissemination of the scientific results. Talks given at international conferences:

1. G. Militaru - Classifying bicrossed products of quantum groups, Algebra Geometry Mathematical Physics, Brno, september 2012.
2. G. Militaru - Extending structures: the level of groups, Groups and their actions, Bedlewo, July 2012.
3. A.L. Agore - Bicrossed descent theory of exact factorizations and the number of types of groups of finite order , Groups and their actions, Bedlewo, July 2012
4. C. Bontea - Classifying crossed product of quantum groups, Algebra Geometry Mathematical Physics(AGMP), Brno, September 2012.
5. A. L. Agore - Deformations and descent type theory for Hopf algebras, Algebra Geometry Mathematical Physics, Brno, September 2012.
6. G. Militaru - Classifying bicrossed products. Deformations and descent type theory for quantum groups, Hopf Algebra Workshop, Brussel VUB, 19 March 19, 2012.
7. A.L. Agore - Classifying exact factorizations of a group through a given subgroup and the number of types of groups of finite order, 2nd Biennial Groups Theory Conference, Dogus University, Istanbul, February 2013.
8. A.L. Agore - The factorization problem for Lie algebras, International workshop Lie theory and its applications, Varna, Bulgaria, June 2013.
9. A.L. Agore - Exact factorizations for Hopf algebras. Applications, Joint international meeting of AMS and RMS , Alba-Iulia, Romania, June 2013.
10. A.L. Agore - Bicrossed products of Hopf algebras, Workshop for young researchers, Constanta, Romania, May 2013.
11. A.L. Agore - Classifying complements for Hopf algebras, Lie algebras and groups, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
12. C.G. Bontea - The factorization problem for Hopf algebras, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
13. G. Militaru - The Extending Structures Problem, 2nd Biennial Groups Theory Conference, Dogus University, Istanbul, February, 2013
14. G. Militaru - The extending structures for algebras, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
15. G. Militaru - Extending structures for Lie algebras, International workshop Lie theory and its applications, Varna, Bulgaria, June 2013.
16. G. Militaru - The extension problem for Hopf algebras, Joint international meeting of AMS and RMS, Alba-Iulia, Romania, June 2013.
17. S. Burciu - Kernels of representations and coideal subalgebras of Hopf algebras Workshop "Rings, Categories and Hopf Algebras", May 18-19, 2013, Bucharest.