**Contemporary Mathematics**

Volume: 537;
2011;
324 pp;
Softcover

MSC: Primary 05; 11; 16; 17; 20;

Print ISBN: 978-0-8218-5239-2

Product Code: CONM/537

List Price: $105.00

AMS Member Price: $84.00

MAA Member Price: $94.50

**Electronic ISBN: 978-0-8218-8216-0
Product Code: CONM/537.E**

List Price: $105.00

AMS Member Price: $84.00

MAA Member Price: $94.50

# Groups, Algebras and Applications

Share this page *Edited by *
*César Polcino Milies*

This book contains the proceedings of the XVIII Latin American Algebra
Colloquium, held from August 3–8, 2009, in São Paulo, Brazil.

It includes research articles as well as up-to-date surveys
covering several directions of current research in algebra, such as
Asymptotic Codimension Growth, Hopf Algebras, Structure Theory of both
Associative and Non-Associative Algebras, Partial Actions of Groups on
Rings, and contributions to Coding Theory.

#### Readership

Graduate students and research mathematicians interested in group theory, associative and non-associative algebras, and coding theory.

# Table of Contents

## Groups, Algebras and Applications

- Contents v6 free
- Preface vii8 free
- Linear codes over Fq[u]/(ut) 110 free
- Globalization theorems for partial Hopf (co)actions, and some of their applications 1322
- On Nichols algebras associated to simple racks 3140
- Pointed Hopf algebras with standard braiding are generated in degree one 5766
- Asymptotics of Young tableaux in the (k,ℓ) hook 7180
- Classification of irreducible representations over finite simple Lie conformal superalgebras 8594
- 1. Introduction 8594
- 2. Formal distributions, Lie conformal superalgebras and their modules 8796
- 3. Lie conformal superalgebra K0, K1 and Cur g and its finite irreducible representations. 93102
- 4. Lie conformal superalgebra Wn and finite irreducible representations. 97106
- 5. Lie conformal superalgebra Sn and its finite irreducible modules 107116
- 6. Lie conformal superalgebras Sn,b and Sn, and their finite irreducible modules 110119
- 7. Lie conformal superalgebra Kn and its finite irreducible modules 111120
- 8. Work in progress 120129
- References 120129

- Pure gaps and bounds for the generalized Hamming weights of Goppa codes 123132
- Exact divisibility of exponential sums over the binary field via the covering method 129138
- All hereditary torsion theories are higher differential 137146
- A categorical approach to classical and quantum Schur–Weyl duality 143152
- 1. Introduction 144153
- 2. Sequences of algebras and monoidal categories 146155
- 3. Symmetric groups and general linear Lie algebras 151160
- 4. Hecke algebras and quantized enveloping algebras 152161
- 5. Affine symmetric groups and loop algebras 154163
- 6. Yangians and degenerate affine Hecke algebras 157166
- 7. Quantum affine algebras and affine Hecke algebras 162171
- 8. Localizations and categorical actions 165174
- References 170179

- Partial actions: a survey 173182
- On free associative algebras linearly graded by finite groups 185194
- Gelfand-Tsetlin categories 193202
- On growth of codimensions of Jordan algebras 205214
- Geometric Weil representations for star-analogues of SL(2, k) 211220
- Exceptional sequences, braid groups and clusters 227236
- Spherical distributions of some generalized Gelfand pairs attached to the Heisenberg group 241250
- On the linearity and quasi-cyclicity of the Gray image of codes over a Galois ring 255264
- Some applications of Frobenius algebras to Hopf algebras 269278
- The algebra of differential operators associated to a weight matrix: A first example 291300