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Groups, algebras and applications : [electronic resource] XVIII Latin American Algebra Colloquium, August 3-8, 2009, S�ao Pedro, SP, Brazil / C�esar Polcino Milies, editor.

By: (18th : Latin American Algebra Colloquium (18th : 2009 : S�ao Pedro, S�ao Paulo, Brazil)Contributor(s): Milies, C�esar PolcinoMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 537.Publication details: Providence, R.I. : American Mathematical Society, c2011Description: 1 online resource (viii, 324 p. : ill.)ISBN: 9780821882160 (online)Subject(s): Associative algebras -- Congresses | Combinatorial enumeration problems -- Congresses | Group theory -- Congresses | Combinatorics -- Enumerative combinatorics -- Asymptotic enumeration | Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography | Associative rings and algebras -- Modules, bimodules and ideals -- Module categories | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications | Associative rings and algebras -- Rings and algebras arising under various constructions -- Group rings | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Vertex operators; vertex operator algebras and related structures | Group theory and generalizations -- Representation theory of groups -- Ordinary representations and characters | Associative rings and algebras -- Local rings and generalizations -- Quasi-Frobenius rings | Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type | Group theory and generalizations -- Special aspects of infinite or finite groups -- Braid groups; Artin groupsAdditional physical formats: Groups, algebras and applications :DDC classification: 512 LOC classification: QA251.5 | .L38 2009Other classification: 05A16 | 11T71 | 16D90 | 16T05 | 16S34 | 17B69 | 20C15 | 16L60 | 20C33 | 20F36 Online resources: Contents | Contents

Contents:

Linear codes over $\Bbb F_q[u]/(u^t)$ / Ricardo Alfaro -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10563 Globalization theorems for partial Hopf (co)actions, and some of their applications / Marcelo Muniz S. Alves and Eliezer Batista -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10564 On Nichols algebras associated to simple racks / N. Andruskiewitsch, F. Fantino, G. A. Garc�ia and L. Vendramin -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10565 Pointed Hopf algebras with standard braiding are generated in degree one / Iv�an Angiono and Agust�in Garc�ia Iglesias -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10566 Asymptotics of Young tableaux in the $(k,\ell )$ hook / A. Berele and A. Regev -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10567 Classification of irreducible representations over finite simple Lie conformal superalgebras / Carina Boyallian and Jos�e I. Liberati -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10568 Pure gaps and bounds for the generalized Hamming weights of Goppa codes / C�icero Carvalho -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10569 Exact divisibility of exponential sums over the binary field via the covering method / Francis N. Castro, Luis A. Medina and Ivelisse M. Rubio -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10570 All hereditary torsion theories are higher differential / Wagner Cortes, Virginia Rodrigues and Alveri Sant'Ana -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10571 A categorical approach to classical and quantum Schur-Weyl duality / Alexei Davydov and Alexander Molev -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10572 Partial actions: a survey / M. Dokuchaev -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10573 On free associative algebras linearly graded by finite groups / Vitor O. Ferreira and Lucia S. I. Murakami -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10574 Gelfand-Tsetlin categories / Vyacheslav Futorny, Serge Ovsienko and Manuel Saorin -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10575 On growth of codimensions of Jordan algebras / Antonio Giambruno and Efim Zelmanov -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10576 Geometric Weil representations for star-analogues of $SL(2,k)$ / Luis Guti�errez-Frez, Jos�e Pantoja and Jorge Soto-Andrade -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10577 Exceptional sequences, braid groups and clusters / Kiyoshi Igusa -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10578 Spherical distributions of some generalized Gelfand pairs attached to the Heisenberg group / Fernando Levstein and Linda Saal -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10579 On the linearity and quasi-cyclicity of the gray image of codes over a Galois ring / C. A. L�opez-Andrade and H. Tapia-Recillas -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10580 Some applications of Frobenius algebras to Hopf algebras / Martin Lorenz -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10581 The algebra of differential operators associated to a weight matrix: a first example / Juan Tirao -- http://www.ams.org/conm/537/ http://dx.doi.org/10.1090/conm/537/10582

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Includes bibliographical references.

Linear codes over $\Bbb F_q[u]/(u^t)$ / Ricardo Alfaro -- Globalization theorems for partial Hopf (co)actions, and some of their applications / Marcelo Muniz S. Alves and Eliezer Batista -- On Nichols algebras associated to simple racks / N. Andruskiewitsch, F. Fantino, G. A. Garc�ia and L. Vendramin -- Pointed Hopf algebras with standard braiding are generated in degree one / Iv�an Angiono and Agust�in Garc�ia Iglesias -- Asymptotics of Young tableaux in the $(k,\ell )$ hook / A. Berele and A. Regev -- Classification of irreducible representations over finite simple Lie conformal superalgebras / Carina Boyallian and Jos�e I. Liberati -- Pure gaps and bounds for the generalized Hamming weights of Goppa codes / C�icero Carvalho -- Exact divisibility of exponential sums over the binary field via the covering method / Francis N. Castro, Luis A. Medina and Ivelisse M. Rubio -- All hereditary torsion theories are higher differential / Wagner Cortes, Virginia Rodrigues and Alveri Sant'Ana -- A categorical approach to classical and quantum Schur-Weyl duality / Alexei Davydov and Alexander Molev -- Partial actions: a survey / M. Dokuchaev -- On free associative algebras linearly graded by finite groups / Vitor O. Ferreira and Lucia S. I. Murakami -- Gelfand-Tsetlin categories / Vyacheslav Futorny, Serge Ovsienko and Manuel Saorin -- On growth of codimensions of Jordan algebras / Antonio Giambruno and Efim Zelmanov -- Geometric Weil representations for star-analogues of $SL(2,k)$ / Luis Guti�errez-Frez, Jos�e Pantoja and Jorge Soto-Andrade -- Exceptional sequences, braid groups and clusters / Kiyoshi Igusa -- Spherical distributions of some generalized Gelfand pairs attached to the Heisenberg group / Fernando Levstein and Linda Saal -- On the linearity and quasi-cyclicity of the gray image of codes over a Galois ring / C. A. L�opez-Andrade and H. Tapia-Recillas -- Some applications of Frobenius algebras to Hopf algebras / Martin Lorenz -- The algebra of differential operators associated to a weight matrix: a first example / Juan Tirao --