Sebastian Burciu

Preprints and Publications

(1) Hopf Galois Extensions and Integrals Sci. Bull. Ser. A Appl. Math. Phys. 60 (1998), no. 3-4, 37--48.

(2) Representations of degree three for semisimple Hopf algebras Journal of Pure and Applied Algebra 194, (2004), 85-93.

(3) On some representations of the Drinfel'd double Journal of Algebra 296, (2006) 480-504.

(4) Hochschild cohomology of smash products and rank one Hopf algebras (with S. Witherspoon) Biblioteca de la Revista Matematica Iberoamericana Actas del "XVI Coloquio Latinoamericano de Algebra," (Colonia, Uruguay, 2005) , 2007, 153-170.

(5) A class of Drinfeld doubles that are ribbon algebras Journal of Algebra 320, (2008), 2053-2078.

(6) Normal Hopf subalgebras of semisimple Hopf algebras Proceedings of American Mathematical Society 137, (2009), 3969-3979.

(7) Depth two Hopf subalgebras of a semisimple Hopf algebra (with L. Kadison) Journal of Algebra 322, (2009) 162-176.

(8) On the classification of semisimple Hopf algebras: structure and applications ”Noncommutative Structures in Mathematics and Physics”, S. Caenepeel, J. Fuchs and A. Stolin (eds.), Proc. Royal Flemish Academy of Belgium, Brussels, (2009), 29–45.

(9) Coset decomposition for semisimple Hopf algebras Communications in Algebra 37, (2009), 3573-3585.

(10) Fusion rings arising from normal Hopf subalgebras (with V. Pasol) Algebras and Representation Theory 14, (2011), 41-55.

(11) Subgroups of depth three and more (with L. Kadison) Surveys in Differential Geometry XV, International Press, eds. T. Mrowka, S.-T. Yau, (2010), 17–36.

(12) Clifford theory for cocentral extension Israel Journal of Mathematics, 181, (2011), 111-123.

(13) On subgroup depth (with L. Kadison and B. Kuelshammer) International Electronic Journal of Algebra 9, (2011), 33-66,

(14) On the Representation Theory of Normal Hopf Subalgebras Arabian Journal of Science and Engineering 36, (2011), 947-955.

(15) On the factorization problem and complements for Hopf algebras Central European Journal of Mathematics 9, (2011), 905-914.

(16) Categorical Hopf kernels and representations of semisimple Hopf algebras Journal of Algebra 337, (2011), 253-260.

(17) Quantum doubles of certain rank two pointed Hopf algebras Communications in Algebra 40, (2012), 4240 - 4254.

(18) Kernels of representations and coideal subalgebras of Hopf algebras Glasgow Mathematical Journal 54, (2012), 107 - 119.

(19) On Normal Hopf Subalgebras of Semisimple Hopf Algebras Algebras and Representation Theory 15, (2012), 491–506.

(20) Depth one extensions of semisimple algebras and Hopf subalgebras Algebras and Representation Theory 16, (2013), 1577-1586.

(21) Normal coideal subalgebras of semisimple Hopf algebras Journal of Physics: Conference Series 346, (2012), 012004.

(22) Fusion rules of equivariantizations of fusion categories (with S. Natale) Journal of Mathematical Physics 54, (2013), 013511.

(23) Subgroups of odd depth-a ncessary condition Czechoslovak Mathematical Journal 63, (4), (2013), 1039-1048.

(24) Kernels of representations of Drinfeld doubles of finite groups Central European Journal of Mathematics 11, (2013), 1900-1913.

(25) Normal Hopf subalgebras of semisimple Drinfeld doubles Journal of Pure and Applied Algebra 218, (2014), 540-552.

(26) New examples of the Green functors arising from representation theory of semisimple Hopf algebras Journal of London Mathematical Society 89, (1), (2014), 97-113.

(27) On normal tensor functors and coset decompositions for fusion categories (with A.Bruguieres) (2013), to appear Applied Categorical Structures.

(28) On coideal subalgebras of cocentral Kac algebras and a generalization of Wall's conjecture (2013), to appear Journal of Algebra and its Applications.

(29) On the irreducible representations of generalized quantum doubles (2014), submitted.

(30) G - functors arising from categorical group actions on abelian categories (2014), submitted.

(31) On a symmetry of Mueger's centralizer for the Drinfeld double of a semisimple Hopf algebra (2014), submitted.

(32) On Mueger's centralizer for a certain class of braided fusion categories (2014), submitted.