Volodymyr mazorchuk (36 risultati)

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HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

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Soft cover. Condizione: New. 1st Edition. 8vo (21.5 cm), 182 pp. Publisher's laminated wrappers. Mathematical Studies: Monograph Series, vol. 8. Edited by Michael Zarichnyi. A research monograph in the representation theory of Lie algebras presenting a systematic study of generalized Verma modules--modules induced from parabolic subalgebras of complex semisimple Lie algebras--and extending many of the fundamental results of the classical theory of Verma modules developed by Daya-Nand Verma and the Bernstein-Gelfand-Gelfand (BGG) school. The principal objective is to establish parabolic analogues of three landmark results of the classical theory: the BGG criterion describing embeddings of Verma modules, the BGG resolutions for simply laced Lie algebras, and Soergel's Kazhdan-Lusztig-type description of blocks of category O. As noted in the introduction, the results synthesize research carried out by several authors over the preceding fourteen years, much of it by the author himself, and the manuscript was completed during his tenure as an Alexander von Humboldt Fellow at the Universität Bielefeld. The sixteen chapters progress from introductory material to advanced applications. Following an overview of the classical BGG theory, the book develops the necessary foundations of Lie algebras, including nilpotent and contragredient algebras, weight modules, universal enveloping algebras, and the representation theory of sl(2,ℂ). Subsequent chapters treat ordinary Verma modules, the BGG theorem, the Shapovalov form, Weyl and Demazure character formulae, composition multiplicities, BGG resolutions, category O, and Loewy series before introducing generalized Verma modules, their fundamental properties, and the generalized Harish-Chandra homomorphism. Later chapters develop analogues of the BGG theorem, including detailed analyses of the A₂, B₂, and G₂ cases and a new Weyl-group action, followed by treatments of Gelfand-Zetlin modules for gl(n,ℂ), o(n,ℂ), and quantum groups, the generalized Shapovalov form, generalized BGG resolutions, and character formulae derived from Weyl, Demazure, and Schubert-theoretic methods. The final portion of the monograph investigates the parabolic categories O(P,L), covering admissible categories, projective modules, block decompositions, reciprocity laws, Soergel's theorems, tilting modules, and the structure of pyramidal and stratified algebras, concluding with a detailed worked example for extended sl(3,ℂ) illustrating inclusions, multiplicities, BGG resolutions, Weyl character formulae, tableaux realizations, Schubert filtrations, and the associated category O(P,L). A substantial contribution to modern representation theory, bringing together the theory of generalized Verma modules into a coherent and comprehensive treatment valuable to researchers in Lie theory, algebraic geometry, and category O.…

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Condizione: New. In English.

Hardback. Condizione: New. This book is directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras. The book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It contains classical contents including the description of all finite-dimensional modules and an introduction to the universal enveloping algebras with its primitive ideals, alongside non-classical contents including the description of all simple weight modules, the category of all weight modules, a detailed description of the category O, and especially, a description of all simple modules. The book also contains an account of a new research direction: the categorification of simple finite-dimensional modules.…

Condizione: New. In English.

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Hardcover. Condizione: Brand New. 250 pages. 9.00x6.00x0.75 inches. In Stock.

Condizione: As New. Unread book in perfect condition.

Condizione: New. In English.

Condizione: New. pp. 328.

Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers.…

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed, first of all, to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but should also prove useful to tutors and researchers. The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers.…

Condizione: New. pp. 328.

Hardcover. Condizione: Brand New. 1st edition. 340 pages. 9.50x6.25x0.75 inches. In Stock.

Hardback. Condizione: New. This book is directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras. The book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It contains classical contents including the description of all finite-dimensional modules and an introduction to the universal enveloping algebras with its primitive ideals, alongside non-classical contents including the description of all simple weight modules, the category of all weight modules, a detailed description of the category O, and especially, a description of all simple modules. The book also contains an account of a new research direction: the categorification of simple finite-dimensional modules.…

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed, first of all, to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but should also prove useful to tutors and researchers. The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers. 328 pp. Englisch. …

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers. 328 pp. Englisch.…

Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras, this book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It also contains an accoun.…

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First book about transformation semigroupsFirst book presenting results from former Soviet Union semigroup schoolsEasy to read, although fully detailed with many examplesCan be used both as an introduction to transformation semigroup.…

Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First book about transformation semigroupsFirst book presenting results from former Soviet Union semigroup schoolsEasy to read, although fully detailed with many examplesCan be used both as an introduction to transformation semigroup.…