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Algebras, Representations and Applications

Edited by: Vyacheslav Futorny Universidade de São Paulo, São Paulo, Brazil
Victor Kac Massachusetts Institute of Technology, Cambridge, MA
Iryna Kashuba Universidade de São Paulo, São Paulo, Brazil
Efim Zelmanov University of California, San Diego, La Jolla, CA
Available Formats:
Electronic ISBN: 978-0-8218-8162-0
Product Code: CONM/483.E
285 pp
List Price: $83.00 MAA Member Price:$74.70
AMS Member Price: $66.40 Click above image for expanded view Algebras, Representations and Applications Edited by: Vyacheslav Futorny Universidade de São Paulo, São Paulo, Brazil Victor Kac Massachusetts Institute of Technology, Cambridge, MA Iryna Kashuba Universidade de São Paulo, São Paulo, Brazil Efim Zelmanov University of California, San Diego, La Jolla, CA Available Formats:  Electronic ISBN: 978-0-8218-8162-0 Product Code: CONM/483.E 285 pp  List Price:$83.00 MAA Member Price: $74.70 AMS Member Price:$66.40
• Book Details

Contemporary Mathematics
Volume: 4832009
MSC: Primary 17; 16; 18;

This volume contains contributions from the conference on “Algebras, Representations and Applications” (Maresias, Brazil, August 26–September 1, 2007), in honor of Ivan Shestakov's 60th birthday.

This book will be of interest to graduate students and researchers working in the theory of Lie and Jordan algebras and superalgebras and their representations, Hopf algebras, Poisson algebras, Quantum Groups, Group Rings and other topics.

Readership

Graduate students and research mathematicians interested in Lie and Jordan algebras and their representations.

• Table of Contents

• Articles
• J. Q. Adashev, A. Kh. Khuhoyberdiyev and B. A. Omirov - Classification of complex naturally graded quasi-filiform Zinbiel algebras [ MR 2497946 ]
• Helena Albuquerque and Ana Paula Santana - Akivis superalgebras and speciality [ MR 2497947 ]
• V. A. Artamonov and I. A. Chubarov - Properties of some semisimple Hopf algebras [ MR 2497948 ]
• Yuri Bahturin and Dušan Pagon - Classifying simple color Lie superalgebras [ MR 2497949 ]
• Viktor Bekkert and Yuriy Drozd - Derived categories for algebras with radical square zero [ MR 2497950 ]
• Pilar Benito and Fabián Martín-Herce - Tits construction, triple systems and pairs [ MR 2497951 ]
• Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi and Hamid Usefi - Universal enveloping algebras of the four-dimensional Malcev algebra [ MR 2497952 ]
• Isabel Cunha and Alberto Elduque - The supermagic square in characteristic 3 and Jordan superalgebras [ MR 2497953 ]
• Walter Ferrer Santos and Ignacio López Franco - Monoidal categories of comodules for coquasi Hopf algebras and Radford’s formula [ MR 2497954 ]
• Edgar G. Goodaire and César Polcino Milies - Group identities on symmetric units in alternative loop algebras [ MR 2497955 ]
• Dijana Jakelić and Adriano Moura - On multiplicity problems for finite-dimensional representations of hyper loop algebras [ MR 2497956 ]
• Jesús Laliena and Sara Sacristán - Maximal subalgebras of simple alternative superalgebras [ MR 2497957 ]
• Leonid Makar-Limanov, Umut Turusbekova and Ualbai Umirbaev - Automorphisms of elliptic Poisson algebras [ MR 2497958 ]
• Consuelo Martínez and Efim Zelmanov - Jordan superalgebras and their representations [ MR 2497959 ]
• Kurt Meyberg - A new proof of Itô’s theorem [ MR 2497960 ]
• Fernando Montaner and Maribel Tocón - The ideal of the Lesieur-Croisot elements of a Jordan algebra. II [ MR 2497961 ]
• José M. Pérez-Izquierdo - Unital algebras, ternary derivations, and local triality [ MR 2497962 ]
• Peter Plaumann, Liudmila Sabinina and Larissa Sbitneva - A decomposition of $LF$-quasigroups [ MR 2497963 ]
• Alistair Savage - Braided and coboundary monoidal categories [ MR 2497964 ]
• Phill Schultz - Bases for direct powers [ MR 2497965 ]
• Sergei R. Sverchkov - Structure and representations of Jordan algebras arising from intermolecular recombination [ MR 2497966 ]
• Additional Material

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Volume: 4832009
MSC: Primary 17; 16; 18;

This volume contains contributions from the conference on “Algebras, Representations and Applications” (Maresias, Brazil, August 26–September 1, 2007), in honor of Ivan Shestakov's 60th birthday.

This book will be of interest to graduate students and researchers working in the theory of Lie and Jordan algebras and superalgebras and their representations, Hopf algebras, Poisson algebras, Quantum Groups, Group Rings and other topics.

Readership

Graduate students and research mathematicians interested in Lie and Jordan algebras and their representations.

• Articles
• J. Q. Adashev, A. Kh. Khuhoyberdiyev and B. A. Omirov - Classification of complex naturally graded quasi-filiform Zinbiel algebras [ MR 2497946 ]
• Helena Albuquerque and Ana Paula Santana - Akivis superalgebras and speciality [ MR 2497947 ]
• V. A. Artamonov and I. A. Chubarov - Properties of some semisimple Hopf algebras [ MR 2497948 ]
• Yuri Bahturin and Dušan Pagon - Classifying simple color Lie superalgebras [ MR 2497949 ]
• Viktor Bekkert and Yuriy Drozd - Derived categories for algebras with radical square zero [ MR 2497950 ]
• Pilar Benito and Fabián Martín-Herce - Tits construction, triple systems and pairs [ MR 2497951 ]
• Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi and Hamid Usefi - Universal enveloping algebras of the four-dimensional Malcev algebra [ MR 2497952 ]
• Isabel Cunha and Alberto Elduque - The supermagic square in characteristic 3 and Jordan superalgebras [ MR 2497953 ]
• Walter Ferrer Santos and Ignacio López Franco - Monoidal categories of comodules for coquasi Hopf algebras and Radford’s formula [ MR 2497954 ]
• Edgar G. Goodaire and César Polcino Milies - Group identities on symmetric units in alternative loop algebras [ MR 2497955 ]
• Dijana Jakelić and Adriano Moura - On multiplicity problems for finite-dimensional representations of hyper loop algebras [ MR 2497956 ]
• Jesús Laliena and Sara Sacristán - Maximal subalgebras of simple alternative superalgebras [ MR 2497957 ]
• Leonid Makar-Limanov, Umut Turusbekova and Ualbai Umirbaev - Automorphisms of elliptic Poisson algebras [ MR 2497958 ]
• Consuelo Martínez and Efim Zelmanov - Jordan superalgebras and their representations [ MR 2497959 ]
• Kurt Meyberg - A new proof of Itô’s theorem [ MR 2497960 ]
• Fernando Montaner and Maribel Tocón - The ideal of the Lesieur-Croisot elements of a Jordan algebra. II [ MR 2497961 ]
• José M. Pérez-Izquierdo - Unital algebras, ternary derivations, and local triality [ MR 2497962 ]
• Peter Plaumann, Liudmila Sabinina and Larissa Sbitneva - A decomposition of $LF$-quasigroups [ MR 2497963 ]
• Alistair Savage - Braided and coboundary monoidal categories [ MR 2497964 ]
• Phill Schultz - Bases for direct powers [ MR 2497965 ]
• Sergei R. Sverchkov - Structure and representations of Jordan algebras arising from intermolecular recombination [ MR 2497966 ]
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