**Contemporary Mathematics**

Volume: 376;
2005;
436 pp;
Softcover

MSC: Primary 13; 16; 94;

Print ISBN: 978-0-8218-3630-9

Product Code: CONM/376

List Price: $120.00

Individual Member Price: $96.00

**Electronic ISBN: 978-0-8218-7966-5
Product Code: CONM/376.E**

List Price: $120.00

Individual Member Price: $96.00

# Algebraic Structures and Their Representations

Share this page *Edited by *
*José A. de la Peña; Ernesto Vallejo; Natig Atakishiyev*

The Latin-American conference on algebra, the XV Coloquio Latinoamericano de
Álgebra (Cocoyoc, México), consisted of plenary sessions of general interest
and special sessions on algebraic combinatorics, associative rings, cohomology
of rings and algebras, commutative algebra, group representations, Hopf
algebras, number theory, quantum groups, and representation theory of algebras.

This proceedings volume contains original research papers related to talks at
the colloquium. In addition, there are several surveys presenting important
topics to a broad mathematical audience. There are also two invited papers by
Raymundo Bautista and Roberto Martínez, founders of the Mexican school of
representation theory of algebras.

The book is suitable for graduate students and researchers interested in
algebra.

#### Table of Contents

# Table of Contents

## Algebraic Structures and Their Representations

- Contents v6 free
- Preface ix10 free
- List of Participants xi12 free
- List of Talks xxi22 free
- Survey Papers 128 free
- Recent results on ring constructions for error-correcting codes 128
- Algebras determined by their left and right parts 1340
- The work of Roberto Martínez-Villa 4976
- A survey on fat points on a smooth quadric 6188
- Bautista and the development of the representation theory of Artin algebras 89116
- A survey on Nichols algebras 105132
- Approximations by modules of G-dimension zero 119146

- Research Articles 127154
- Representations of matched pairs of groupoids and applications to weak Hopf algebras 127154
- On symmetries of quasicrystals 175202
- Frattini-type and Fitting-type subgroups 189216
- Representations of the quantum algebra suq(1, 1) and duality of q-orthogonal polynomials 195222
- Internal bialgebroids, entwining structures and corings 207234
- The A2 Ocneanu quantum groupoïd 227254
- Skew Armendariz rings and annihilator ideals of skew polynomial rings 249276
- Quantum symmetric algebras as braided Hopf algebras 261288
- Blowup algebras of ideals of vertex covers of bipartite graphs 273300
- Minimal elements in the poset of tilting modules 281308
- Dynamical twists and quantization 289316
- On the combinatorial rank of Hopf algebras 299326
- A tensor product of projective G-groups 309336
- The minimum degree of a surface that passes through all the points of a 0-dimensional scheme but a point P 315342
- Primitive ideals and Jacobson radicals in Hopf Galois extensions 333360
- On the algebraic decomposition of a centralizer algebra of the hyperoctahedral group 345372
- Quantum group global symmetries of quantum chains. States for linear chains with left end open and right end closed 359386
- One-sided Hopf algebras 377404
- BTZ black hole and Jacobi inversion for fundamental domains of infinite volume 385412
- Galois correspondence theorem for Hopf algebra actions 393420
- On two-point differentiation and its generalization 413440

#### Readership

Graduate students and research mathematicians interested in algebra.