Interactions Between Ring Theory and Representations of Algebras

Interactions Between Ring Theory and Representations of Algebras PDF Author: Freddy Van Oystaeyen
Publisher: CRC Press
ISBN: 9780824703677
Category : Mathematics
Languages : en
Pages : 470

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Book Description
This work is based on a set of lectures and invited papers presented at a meeting in Murcia, Spain, organized by the European Commission's Training and Mobility of Researchers (TMR) Programme. It contains information on the structure of representation theory of groups and algebras and on general ring theoretic methods related to the theory.

Interactions Between Ring Theory and Representations of Algebras

Interactions Between Ring Theory and Representations of Algebras PDF Author: Freddy Van Oystaeyen
Publisher: CRC Press
ISBN: 9780824703677
Category : Mathematics
Languages : en
Pages : 470

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Book Description
This work is based on a set of lectures and invited papers presented at a meeting in Murcia, Spain, organized by the European Commission's Training and Mobility of Researchers (TMR) Programme. It contains information on the structure of representation theory of groups and algebras and on general ring theoretic methods related to the theory.

Abstract Algebra

Abstract Algebra PDF Author: Claudia Menini
Publisher: CRC Press
ISBN: 1351991469
Category : Mathematics
Languages : en
Pages : 784

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Book Description
In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.

Hopf Algebras in Noncommutative Geometry and Physics

Hopf Algebras in Noncommutative Geometry and Physics PDF Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 0429530072
Category : Mathematics
Languages : en
Pages : 348

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Book Description
This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the

Representations of Algebraic Groups

Representations of Algebraic Groups PDF Author: Jens Carsten Jantzen
Publisher: American Mathematical Soc.
ISBN: 082184377X
Category : Mathematics
Languages : en
Pages : 594

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Book Description
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry PDF Author: David Eisenbud
Publisher: Cambridge University Press
ISBN: 110714972X
Category : Mathematics
Languages : en
Pages : 303

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Book Description
This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 2 focuses on the most recent research.

Hopf Algebras and Quantum Groups

Hopf Algebras and Quantum Groups PDF Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 0429529988
Category : Mathematics
Languages : en
Pages : 332

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Book Description
This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It presents state-of-the-art papers - selected from over 65 participants representing nearly 20 countries and more than 45 lectures - on the theory of Hopf algebras, including multiplier Hopf algebras and quantum g

On the Spectra of Quantum Groups

On the Spectra of Quantum Groups PDF Author: Milen Yakimov
Publisher: American Mathematical Soc.
ISBN: 082189174X
Category : Mathematics
Languages : en
Pages : 104

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Book Description
Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras on simple algebraic groups in terms of the centers of certain localizations of quotients of by torus invariant prime ideals, or equivalently in terms of orbits of finite groups. These centers were only known up to finite extensions. The author determines the centers explicitly under the general conditions that the deformation parameter is not a root of unity and without any restriction on the characteristic of the ground field. From it he deduces a more explicit description of all prime ideals of than the previously known ones and an explicit parametrization of .

Algebra and Its Applications

Algebra and Its Applications PDF Author: Mohammad Ashraf
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110540983
Category : Mathematics
Languages : en
Pages : 385

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Book Description
This volume showcases mostly the contributions presented at the International Conference in Algebra and Its Applications held at the Aligarh Muslim University, Aligarh, India during November 12-14, 2016. Refereed by renowned experts in the field, this wide-ranging collection of works presents the state of the art in the field of algebra and its applications covering topics such as derivations in rings, category theory, Baer module theory, coding theory, graph theory, semi-group theory, HNP rings, Leavitt path algebras, generalized matrix algebras, Nakayama conjecture, near ring theory and lattice theory. All of the contributing authors are leading international academicians and researchers in their respective fields. Contents On Structure of ∗-Prime Rings with Generalized Derivation A characterization of additive mappings in rings with involution| Skew constacyclic codes over Fq + vFq + v2Fq Generalized total graphs of commutative rings: A survey Differential conditions for which near-rings are commutative rings Generalized Skew Derivations satisfying the second Posner’s theorem on Lie ideals Generalized Skew-Derivations on Lie Ideals in Prime Rings On generalized derivations and commutativity of prime rings with involution On (n, d)-Krull property in amalgamated algebra Pure ideals in ordered Γ-semigroups Projective ideals of differential polynomial rings over HNP rings Additive central m-power skew-commuting maps on semiprime rings A Note on CESS-Lattices Properties Inherited by Direct Sums of Copies of a Module Modules witnessing that a Leavitt path algebra is directly infinite Inductive Groupoids and Normal Categories of Regular Semigroups Actions of generalized derivations in Rings and Banach Algebras Proper Categories and Their Duals On Nakayama Conjecture and related conjectures-Review On construction of global actions for partial actions On 2-absorbing and Weakly 2-absorbing Ideals in Product Lattices Separability in algebra and category theory Annihilators of power values of generalized skew derivations on Lie ideals Generalized derivations on prime rings with involution

Algebra and Its Applications

Algebra and Its Applications PDF Author: Dinh Van Huynh
Publisher: American Mathematical Soc.
ISBN: 082181950X
Category : Mathematics
Languages : en
Pages : 586

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Book Description
Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirty-eight articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications (Athens, OH, 1999), which explored the applications and interplay among the disciplines of ring theory, linear algebra, and coding theory. The presentations collected here reflect the dialogue between mathematicians involved in theoretical aspects of algebra and mathematicians involved in solving problems where state-of-the-art research tools may be used and applied. This Contemporary Mathematics series volume communicates the potential for collaboration among those interested in exploring the wealth of applications for abstract algebra in fields such as information and coding. The expository papers would serve well as supplemental reading in graduate seminars.

Partial Differential Equations On Multistructures

Partial Differential Equations On Multistructures PDF Author: Felix Mehmeti
Publisher: CRC Press
ISBN: 9780203902196
Category : Mathematics
Languages : en
Pages : 276

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Book Description
This text is based on lectures presented at the International Conference on Partial Differential Equations (PDEs) on Multistructures, held in Luminy, France. It contains advances in the field, compiling research on the analyses and applications of multistructures - including treatments of classical theories, specific characterizations and modellings of multistructures, and discussions on uses in physics, electronics, and biology.