Algebraic Structures and Their Representations

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Brand new. We distribute directly for the publisher. The Latin-American conference on algebra, the XV Coloquio Latinoamericano de lgebra (Cocoyoc, Mxico), 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 Martnez, founders of the Mexican school of representation theory of algebras.The book is suitable for graduate students and researchers interested in algebra. Read more Show Less

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Overview

The Latin-American conference on algebra, the XV Coloquio Latinoamericano de Algebra (Cocoyoc, Mexico), 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 Martinez, founders of the Mexican school of representation theory of algebras. The book is suitable for graduate students and researchers interested in algebra.

Read More Show Less

Product Details

  • ISBN-13: 9780821836309
  • Publisher: American Mathematical Society
  • Publication date: 6/2/2005
  • Series: Contemporary Mathematics Series , #376
  • Pages: 436
  • Product dimensions: 7.00 (w) x 10.00 (h) x 1.00 (d)

Table of Contents

Recent results on ring constructions for error-correcting codes 1
Algebras determined by their left and right parts 13
The work of Roberto Martinez-Villa 49
A survey on fat points on a smooth quadric 61
Bautista and the development of the representation theory of Artin algebras 89
A survey on Nichols algebras 105
Approximations by modules of G-dimension zero 119
Representations of matched pairs of groupoids and applications to weak Hopf algebras 127
On symmetries of quasicrystals 175
Frattini-type and fitting-type subgroups 189
Representations of the quantum algebra su[subscript q](1, 1) and duality of q-orthogonal polynomials 195
Internal bialgebroids, entwining structures and corings 207
The A[subscript 2] Ocneanu quantum groupoid 227
Skew Armendariz rings and annihilator ideals of skew polynomial rings 249
Quantum symmetric algebras as braided Hopf algebras 261
Blowup algebras of ideals of vertex covers of bipartite graphs 273
Minimal elements in the poset of tilting modules 281
Dynamical twists and quantization 289
On the combinatorial rank of Hopf algebras 299
A tensor product of projective G-groups 309
The minimum degree of a surface that passes through all the points of a 0-dimensional scheme but a point P 315
Primitive ideals and Jacobson radicals in Hopf Galois extensions 333
On the algebraic decomposition of a centralizer algebra of the hyperoctahedral group 345
Quantum group global symmetries of quantum chains : states for linear chains with left end open and right end closed 359
One-sided Hopf algebras 377
BTZ black hole and Jacobi inversion for fundamental domains of infinite volume 385
Galois correspondence theorem for Hopf algebra actions 393
One two-point differentiation and its generalization 413
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