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Product Code:  CONM/376.E 
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Book DetailsContemporary MathematicsVolume: 376; 2005; 436 ppMSC: Primary 13; 16; 94;
The LatinAmerican 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.ReadershipGraduate students and research mathematicians interested in algebra.

Table of Contents

Articles

Ricardo Alfaro and Andrei Kelarev  Recent results on ring constructions for errorcorrecting codes [ MR 2147012 ]

Ibrahim Assem, Flávio U. Coelho, Marcelo Lanzilotta, David Smith and Sonia Trepode  Algebras determined by their left and right parts [ MR 2147013 ]

Edward L. Green  The work of Roberto MartínezVilla [ MR 2147014 ]

Elena Guardo  A survey on fat points on a smooth quadric [ MR 2147015 ]

Claus Michael Ringel  Bautista and the development of the representation theory of Artin algebras [ MR 2147016 ]

Mitsuhiro Takeuchi  A survey on Nichols algebras [ MR 2147017 ]

Yuji Yoshino  Approximations by modules of $G$dimension zero [ MR 2147018 ]

Marcelo Aguiar and Nicolás Andruskiewitsch  Representations of matched pairs of groupoids and applications to weak Hopf algebras [ MR 2147019 ]

Vyacheslav A. Artamonov  On symmetries of quasicrystals [ MR 2147020 ]

M. J. Asiain  Frattinitype and Fittingtype subgroups [ MR 2147021 ]

N. M. Atakishiyev and A. U. Klimyk  Representations of the quantum algebra ${\rm su}_q(1,1)$ and duality of $q$orthogonal polynomials [ MR 2147022 ]

Gabriella Böhm  Internal bialgebroids, entwining structures and corings [ MR 2147023 ]

R. Coquereaux  The $A_2$ Ocneanu quantum groupoïd [ MR 2147024 ]

Wagner Cortes  Skew Armendariz rings and annihilator ideals of skew polynomial rings [ MR 2147025 ]

Delia Flores de Chela  Quantum symmetric algebras as braided Hopf algebras [ MR 2147026 ]

Isidoro Gitler, Enrique Reyes and Rafael H. Villarreal  Blowup algebras of ideals of vertex covers of bipartite graphs [ MR 2147027 ]

Dieter Happel and Luise Unger  Minimal elements in the poset of tilting modules [ MR 2147028 ]

E. Karolinsky, A. Stolin and V. Tarasov  Dynamical twists and quantization [ MR 2147029 ]

V. K. Kharchenko and A. Andrade Álvarez  On the combinatorial rank of Hopf algebras [ MR 2147030 ]

I. Lizasoain  A tensor product of projective $G$groups [ MR 2147031 ]

Lucia Marino  The minimum degree of a surface that passes through all the points of a 0dimensional scheme but a point $P$ [ MR 2147032 ]

S. Montgomery  Primitive ideals and Jacobson radicals in Hopf Galois extensions [ MR 2147033 ]

Rosa C. Orellana  On the algebraic decomposition of a centralizer algebra of the hyperoctahedral group [ MR 2147034 ]

Suemi RodríguezRomo  Quantum group global symmetries of quantum chains. States for linear chains with left end open and right end closed [ MR 2147035 ]

Suemi RodríguezRomo and Earl J. Taft  Onesided Hopf algebras [ MR 2147036 ]

Floyd L. Williams  BTZ black hole and Jacobi inversion for fundamental domains of infinite volume [ MR 2147037 ]

Tadashi Yanai  Galois correspondence theorem for Hopf algebra actions [ MR 2147038 ]

Alexander G. Zavadskij  On twopoint differentiation and its generalization [ MR 2147039 ]


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The LatinAmerican 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.
Graduate students and research mathematicians interested in algebra.

Articles

Ricardo Alfaro and Andrei Kelarev  Recent results on ring constructions for errorcorrecting codes [ MR 2147012 ]

Ibrahim Assem, Flávio U. Coelho, Marcelo Lanzilotta, David Smith and Sonia Trepode  Algebras determined by their left and right parts [ MR 2147013 ]

Edward L. Green  The work of Roberto MartínezVilla [ MR 2147014 ]

Elena Guardo  A survey on fat points on a smooth quadric [ MR 2147015 ]

Claus Michael Ringel  Bautista and the development of the representation theory of Artin algebras [ MR 2147016 ]

Mitsuhiro Takeuchi  A survey on Nichols algebras [ MR 2147017 ]

Yuji Yoshino  Approximations by modules of $G$dimension zero [ MR 2147018 ]

Marcelo Aguiar and Nicolás Andruskiewitsch  Representations of matched pairs of groupoids and applications to weak Hopf algebras [ MR 2147019 ]

Vyacheslav A. Artamonov  On symmetries of quasicrystals [ MR 2147020 ]

M. J. Asiain  Frattinitype and Fittingtype subgroups [ MR 2147021 ]

N. M. Atakishiyev and A. U. Klimyk  Representations of the quantum algebra ${\rm su}_q(1,1)$ and duality of $q$orthogonal polynomials [ MR 2147022 ]

Gabriella Böhm  Internal bialgebroids, entwining structures and corings [ MR 2147023 ]

R. Coquereaux  The $A_2$ Ocneanu quantum groupoïd [ MR 2147024 ]

Wagner Cortes  Skew Armendariz rings and annihilator ideals of skew polynomial rings [ MR 2147025 ]

Delia Flores de Chela  Quantum symmetric algebras as braided Hopf algebras [ MR 2147026 ]

Isidoro Gitler, Enrique Reyes and Rafael H. Villarreal  Blowup algebras of ideals of vertex covers of bipartite graphs [ MR 2147027 ]

Dieter Happel and Luise Unger  Minimal elements in the poset of tilting modules [ MR 2147028 ]

E. Karolinsky, A. Stolin and V. Tarasov  Dynamical twists and quantization [ MR 2147029 ]

V. K. Kharchenko and A. Andrade Álvarez  On the combinatorial rank of Hopf algebras [ MR 2147030 ]

I. Lizasoain  A tensor product of projective $G$groups [ MR 2147031 ]

Lucia Marino  The minimum degree of a surface that passes through all the points of a 0dimensional scheme but a point $P$ [ MR 2147032 ]

S. Montgomery  Primitive ideals and Jacobson radicals in Hopf Galois extensions [ MR 2147033 ]

Rosa C. Orellana  On the algebraic decomposition of a centralizer algebra of the hyperoctahedral group [ MR 2147034 ]

Suemi RodríguezRomo  Quantum group global symmetries of quantum chains. States for linear chains with left end open and right end closed [ MR 2147035 ]

Suemi RodríguezRomo and Earl J. Taft  Onesided Hopf algebras [ MR 2147036 ]

Floyd L. Williams  BTZ black hole and Jacobi inversion for fundamental domains of infinite volume [ MR 2147037 ]

Tadashi Yanai  Galois correspondence theorem for Hopf algebra actions [ MR 2147038 ]

Alexander G. Zavadskij  On twopoint differentiation and its generalization [ MR 2147039 ]