**Contemporary Mathematics**

Volume: 483;
2009;
285 pp;
Softcover

MSC: Primary 17; 16; 18;

Print ISBN: 978-0-8218-4652-0

Product Code: CONM/483

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-0-8218-8162-0
Product Code: CONM/483.E**

List Price: $83.00

Individual Member Price: $66.40

# Algebras, Representations and Applications

Share this page *Edited by *
*Vyacheslav Futorny; Victor Kac; Iryna Kashuba; Efim Zelmanov*

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.

#### Table of Contents

# Table of Contents

## Algebras, Representations and Applications

- Contents iii5 free
- Preface v7 free
- List of Participants vii9 free
- Classification of complex naturally graded quasi-filiform Zinbiel algebras 113 free
- Akivis superalgebras and speciality 1325
- Properties of some semisimple Hopf algebras 2335
- Classifying simple color Lie superalgebras 3749
- Derived categories for algebras with radical square zero 5567
- Tits construction, triple systems and pairs 6375
- Universal enveloping algebras of the four-dimensional Malcev algebras 7385
- The supermagic square in characteristic 3 and Jordan superalgebras 91103
- Monoidal categories of comodules for coquasi Hopf algebras and Radford's formula 107119
- Group identities on symmetric units in alternative loop algebras 137149
- On multiplicity problems for finite-dimensional representations of hyper loop algebras 147159
- Maximal subalgebras of simple alternative superalgebras 161173
- Automorphisms of elliptic Poisson algebras 169181
- Jordan superalgebras and their representations 179191
- A new proof of Itô's theorem 195207
- The ideal of the Lesieur-Croisot elements of a Jordan algebra. II 199211
- Unital algebras, Ternary derivations, and local triality 205217
- A decomposition of LF-quasigroups 221233
- Braided and coboundary monoidal categories 229241
- Bases for direct powers 253265
- Structure and representations of Jordan algebras arising from intermolecular recombination 261273

#### Readership

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