Program and Abstracts Conference Non-Associative Algebras and Related Topics 25-29 July 2011 Coimbra-Portugal Foreword We would like to welcome you to the NAART (Non-Associative Algebras and Related Topics) and wish you a pleasant stay in our town. The Theory of Non-Associative Algebras not only constitutes a well-developed and very active area of research but is also an intercurricular one, playing a cen- tral role in Mathematics and Physics. The aim of this conference is to bring together mathematicians and physicists interested in this field, with a central goal of increasing the quality of research, promoting interaction among researchers and discussing new directions for the future. The conference will last for five days and, besides a series of contributed sessions, there will also be five plenary talks and four courses. Contributions from all researchers in the area are welcome, including young researchers. The venue will be the historic University of Coimbra, founded in 1290 - the first university in Portugal and one of the oldest in Europe. The host of the event is the Department of Mathematics of the University of Coimbra (DMUC), drawing on the support of several other Portuguese research institutions. We are deeply indebted to the Centro de Matem´aticada Universidade de Coim- bra, to the Centro de Matem´atica da Universidade do Porto, to the Centro de Matem´aticada Universidade da Beira Interior, to the Funda¸c~aopara a Ci^enciae Tecnologia and also to the Banco Santander Totta for the material support. Helena Albuquerque Chair of the Organizing Committee Contents Contents i List of Participants 1 Schedule 3 Schedule of Contributed Talks 5 Mini Courses 9 Plenary Sessions 13 Contributed Talks 18 Posters 61 Index 73 i List of Participants 1 LIST OF PARTICIPANTS Marcia Aguiar (University of S~aoPaulo, Brazil) Helena Albuquerque (University of Coimbra, Portugal) Maribel Ram´ırezAlvarez (Universidad de Almer´ıa,Spain) Abu Zaid Ansari (AMU, Aligarh, India) Manuel Arenas (Universidad de Chile, Chile) Farkhad Arzikulov (I.M.I.T. , Andizhan State University, Uzbekistan) Raymond Aschheim (Polytopics, France) Imen Ayadi (Universit´ede Metz, ISGMP, France) Ignacio Bajo (Universidad de Vigo, Spain) Elisabete Barreiro (University of Coimbra, Portugal) Patr´ıciaBeites (University of Beira Interior, Portugal) Sa¨ıdBenayadi (Universit´ede Metz, ISGMP, France) Georgia Benkart (University of Wisconsin-Madison, USA) In^esBorges (ISCAC, Portugal) Said Boulmane (Faculty of Sciences Mekn`es,Morocco) Murray Bremner (University of Saskatchewan, Canada) Emmanuel Briand (University of Sevilla, Spain) Paula Carvalho (University of Porto, Portugal) Francesco Catino (University of Salento, Italia) Fl´avioU. Coelho (University of S~aoPaulo, Brazil) Isabel Cunha (University of Beira Interior, Portugal) Erik Darp¨o(University of Oxford, UK) Jos´eMar´ıaS´anchez Delgado (Universidad de C´adiz,Spain) S¨uleymanDemir (Anadolu University, Turkey) Geoffrey Dixon (USA) Cristina Draper (Universidad de M´alaga,Spain) Alberto Elduque (University of Zaragoza, Spain) Vyacheslav Futorny (University of S~aoPaulo, Brazil) Maxim Goncharov (Inst. of Math. SB RAS, Novosibirsk, Russia) Edgar Goodaire (Memorial University, Canada) Valerio Guido (University of Salento, Italy) Malika Ait Ben Haddou (Faculty of Sciences Mekn`es,Morocco) Manuel Avelino Insua Hermo (Dpt. Matem´aticaAplicada I, University of Vigo, Spain) Radu Iordanescu (Institute of Mathematics of the Romanian Academy, Romania) Clara Jim´enez-Gestal (Universidad de La Rioja, Spain) Santos Gonz´alez Jim´enez(University of Oviedo, Spain) Henrique Guzzo Jr (University of S~aoPaulo, Brazil) Ji Hye Jung (Seoul National University, South Korea) Elamin Kaidi (Universidad de Almeria, Spain) Mustafa Emre Kansu (Dumlupinar University, Turkey) Iryna Kashuba (University of S~aoPaulo, Brazil) Richard Kerner (University of Paris 6, France) Daehong Kim (Seoul National University, South Korea) Miran Kim (Seoul National University, South Korea) Myungho Kim (Seoul National University, South Korea) List of Participants 2 Mikhail Kotchetov (Memorial University of Newfoundland, Canada) Jes´usLaliena (Universidad de La Rioja, Spain) Christian Lomp (University of Porto, Portugal) Samuel Lopes (University of Porto, Portugal) Sara Madariaga (University of Logro~no,Spain) Shahn Majid (University of London, UK) Consuelo Mart´ınez(University of Oviedo, Spain) Vanesa Meinardi (Universidad Nacional de C´ordoba,Argentina) C´esarPolcino Milies (University of S~aoPaulo, Brazil) Jos´eManuel Casas Mir´as(Dpt. Matem´aticaAplicada I, University of Vigo, Spain) Daniel Mondoc (Lund University, Sweden) Sophie Morier-Genoud (Universit´eParis 6, France) Alejandro Nicol´as(University of Cantabria, Spain) Valentin Ovsienko (CNRS, Universit´eLyon 1, Lyon, France) Florin Panaite (Institute of Mathematics of the Romanian Academy, Romania) Sandra Pinto (University of Coimbra, Portugal) Rosemary Miguel Pires (Universidade Federal Fluminense, Brasil) Alexander Pozhidaev (Sobolev Inst. of Math., SB RAS, Novosibirsk, Russia) Nat´aliaMaria Bessa Pacheco Rego (IPCA, Portugal) Roberto Rizzo (University of Salento, Italy) Rodrigo Rodrigues (University of S~aoPaulo, Brazil) Hansol Ryu (Seoul National University, South Korea) Liudmila Sabinina (Facultad de Ciencias, UAEM, M´exico) Gil Salgado (UASLP, M´exico) Juana S´anchez-Ortega (University of Malaga, Spain) Ana Paula Santana (University of Coimbra, Portugal) Paulo Saraiva (University of Coimbra, Portugal) Ivan Shestakov (University of S~aoPaulo, Brazil) Agata Smoktunowicz (University of Edinburgh, UK) Dragos Stefan (University of Bucharest) Ralph St¨ohr(University of Manchester, UK) Osamu Suzuki (Nihon University, Japan) Sergei Sverchkov (University of S~aoPaulo, Brazil) Irina Sviridova (University of Brasilia, Brazil) Mohammad Reza Molaei Taherabadi (University of Kerman (Shahid Bahonar), Iran) Murat Tanı¸slı(Anadolu University, Turkey) Maribel Toc´on(Universidad de C´ordoba, Spain) Arkady Tsurkov (University of S~aoPaulo, Brazil) Maria del Carmen Rodriguez Vallarte (UASLP, M´exico) Ivan Yudin (CMUC, University of Coimbra, Portugal) Efim Zelmanov (University of California, San Diego, USA) Pasha Zusmanovich (Tallinn University of Technology, Tallinn, Estonia) Schedule 3 SCHEDULE Monday, July 25th 9:00 - 9:50: Registration. 9:50 - 10:00: Opening ceremony. 10:00 - 11:00: Opening plenary session: Georgia Benkart, Planar diagram algebras. 11:00 - 11:30: Coffee break. 11:30 - 13:00: Mini course 1: Alberto Elduque, Gradings on simple Lie algebras. 15:00 - 16:30: Contributed talks. 16:30 - 17:00: Coffee break. 17:00 - 18:00: Contributed talks. Tuesday, July 26th 9:00 - 10:30: Mini course 2: Alexander Pozhidaev, Differentiably simple (super)algebras. 10:30 - 11:30: Mini course 1 (part two): Alberto Elduque, Gradings on simple Lie algebras. 11:30 - 12:00: Coffee break. 12:00 - 13:00: Plenary session: Ivan Shestakov, On speciality of Malcev algebras. 15:00 - 16:00: Contributed talks. 16:00 - 16:30: Coffee break. 16:30 - 18:00: Visit to the University of Coimbra. Wednesday, July 27th 9:00 - 10:30: Mini course 3: Sa¨ıdBenayadi, Quadratic (resp. odd-quadratic) Lie superalgebras. 10:30 - 11:30: Mini course 2 (part two): Alexander Pozhidaev, Differentiably simple (super)algebras. 11:30 - 12:00: Coffee break. 11:30 - 13:00: Plenary session: Shahn Majid, Geometry of algebraic quasigroups. 14:30 - 20:00: Tour of Montemor-o-Velho and Figueira da Foz. 20:00: Conference dinner. Schedule 4 Thursday, July 28th 9:30 - 10:30: Mini course 4: Vyacheslav Futorny, Kac-Moody algebras, vertex operators and applications. 10:30 - 11:30 : Mini course 3 (part two): Sa¨ıdBenayadi, Quadratic (resp. odd-quadratic) Lie superalgebras. 11:30 - 12:00: Coffee break. 12:00 - 13:00: Plenary session: Consuelo Mart´ınez, Cheng Kac superalgebras. 15:00 - 16:30: Contributed talks. 16:30 - 17:00: Coffee break. 17:00 - 17:30: Contributed talks. 17:30 - 18:30: Poster Session. Friday, July 29th 9:00 - 10:30: Mini course 4 (part two): Vyacheslav Futorny, Kac-Moody algebras, vertex operators and applications. 10:30 - 11:30: Contributed talks. 11:30 - 12:00: Coffee break. 12:00 - 13:00: Contributed talks. 15:00 - 16:00: Closing plenary session: Efim Zelmanov, Jordan superalgebras. Schedule of contributed talks 5 SCHEDULE OF CONTRIBUTED TALKS Monday, July 25th Room 2.3 (Chair: Florin Panaite) 15:00 - 15:25: Murat Tanı¸slı, Maxwell equations for magnetic sources and massive photon in octonion algebra, 15:30 - 15:55: Mustafa Emre Kansu, Electromagnetism with complex octonions, 16:00 - 16:25: Richard Kerner, Space-time symmetry groups derived from cubic and ternary algebras, 17:00 - 17:25: Rosemary Miguel Pires, Code loops: automorphisms and representations, 17:30 - 17:55: S¨uleymanDemir, Hyperbolic octonionic massive gravitoelectromagnetism with monopoles. Room 2.4 (Chair: Alberto Elduque) 15:00 - 15:25: Fl´avioU. Coelho, The representation dimension of Artin algebras, 15:30 - 15:55: Ignacio Bajo, Indefinite K¨ahlermetrics on Lie algebras with abelian complex structure, 16:00 - 16:25: Mikhail Kotchetov, Weyl groups of fine gradings on Lie algebras, 17:00 - 17:25: Mohammad Reza Molaei Taherabadi, A generalization of left invariant vector fields and Lie algebras generated by them. Room 2.5 (Chair: Henrique Guzzo Jr) 15:00 - 15:25: Murray Bremner, Malcev and Bol dialgebras, 15:30 - 15:55: Maxim Goncharov, Structures of Malcev Bialgebras on a simple non-Lie Malcev algebra, 16:00 - 16:25: Manuel Arenas, On speciality of binary-Lie algebras, 17:00 - 17:25: Liudmila Sabinina, Moufang loops