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Dualities and Representations of Lie Superalgebras

Dualities and Representations of Lie Superalgebras PDF Author: Shun-Jen Cheng
Publisher: American Mathematical Soc.
ISBN: 0821891189
Category : Mathematics
Languages : en
Pages : 323

Book Description
This book gives a systematic account of the structure and representation theory of finite-dimensional complex Lie superalgebras of classical type and serves as a good introduction to representation theory of Lie superalgebras. Several folklore results are rigorously proved (and occasionally corrected in detail), sometimes with new proofs. Three important dualities are presented in the book, with the unifying theme of determining irreducible characters of Lie superalgebras. In order of increasing sophistication, they are Schur duality, Howe duality, and super duality. The combinatorics of symmetric functions is developed as needed in connections to Harish-Chandra homomorphism as well as irreducible characters for Lie superalgebras. Schur-Sergeev duality for the queer Lie superalgebra is presented from scratch with complete detail. Howe duality for Lie superalgebras is presented in book form for the first time. Super duality is a new approach developed in the past few years toward understanding the Bernstein-Gelfand-Gelfand category of modules for classical Lie superalgebras. Super duality relates the representation theory of classical Lie superalgebras directly to the representation theory of classical Lie algebras and thus gives a solution to the irreducible character problem of Lie superalgebras via the Kazhdan-Lusztig polynomials of classical Lie algebras.

Dualities and Representations of Lie Superalgebras

Dualities and Representations of Lie Superalgebras PDF Author: Shun-Jen Cheng
Publisher: American Mathematical Soc.
ISBN: 0821891189
Category : Mathematics
Languages : en
Pages : 323

Book Description
This book gives a systematic account of the structure and representation theory of finite-dimensional complex Lie superalgebras of classical type and serves as a good introduction to representation theory of Lie superalgebras. Several folklore results are rigorously proved (and occasionally corrected in detail), sometimes with new proofs. Three important dualities are presented in the book, with the unifying theme of determining irreducible characters of Lie superalgebras. In order of increasing sophistication, they are Schur duality, Howe duality, and super duality. The combinatorics of symmetric functions is developed as needed in connections to Harish-Chandra homomorphism as well as irreducible characters for Lie superalgebras. Schur-Sergeev duality for the queer Lie superalgebra is presented from scratch with complete detail. Howe duality for Lie superalgebras is presented in book form for the first time. Super duality is a new approach developed in the past few years toward understanding the Bernstein-Gelfand-Gelfand category of modules for classical Lie superalgebras. Super duality relates the representation theory of classical Lie superalgebras directly to the representation theory of classical Lie algebras and thus gives a solution to the irreducible character problem of Lie superalgebras via the Kazhdan-Lusztig polynomials of classical Lie algebras.

Annual Reports in Computational Chemistry

Annual Reports in Computational Chemistry PDF Author:
Publisher: Elsevier
ISBN: 044463682X
Category : Science
Languages : en
Pages : 438

Book Description
Annual Reports in Computational Chemistry provides timely and critical reviews of important topics in computational chemistry as applied to all chemical disciplines. Topics covered include quantum chemistry, molecular mechanics, force fields, chemical education, and applications in academic and industrial settings. Focusing on the most recent literature and advances in the field, each article covers a specific topic of importance to computational chemists. - Quantum chemistry - Molecular mechanics - Force fields - Chemical education and applications in academic and industrial settings

Electroanalysis

Electroanalysis PDF Author: Christopher Brett
Publisher: Oxford University Press
ISBN:
Category : Medical
Languages : en
Pages : 104

Book Description
This is an introduction to the areas of application of electroanalysis, which has an important role with current environmental concerns, both in the laboratory and in the field.

Synthesis of Solid Catalysts

Synthesis of Solid Catalysts PDF Author: Krijn P. de Jong
Publisher: John Wiley & Sons
ISBN: 3527320407
Category : Science
Languages : en
Pages : 436

Book Description
This practical book combines recent progress with a discussion of the general aspects of catalyst preparation. The first part deals with the basic principles of solid catalyst preparation, explaining the main aspects of sol-gel chemistry and interfacial chemistry, followed by such techniques as co-precipitation and immobilization. New tools for catalyst preparation research, including microspectroscopy and high-throughput experimentation, are also taken into account. The second part heightens the practical relevance by providing six case studies on such topics as the preparation of zeolites, hydrotreating catalysts, methanol catalysts and gold catalysts

Organosilicon Chemistry III

Organosilicon Chemistry III PDF Author: Norbert Auner
Publisher: John Wiley & Sons
ISBN: 3527620745
Category : Science
Languages : en
Pages : 742

Book Description
Organosilicon Chemistry at its best ...((kursiv)) Like its two hugely successful predecessors, the third volume again presents the latest developments in a rapidly developing field of industsrial and academic research. The contributions from approx. 80 internationally renowned experts and researchers in this fascinating part of the rapidly growing field of main group chemistry describe current trends in organosilicon chemistry and provide summaries of the latest (1997!) knowledge in this area. To facilitate access to the ongoing research this volume is split into two parts, each with a comprehensive introduction: Part 1: Fascinating Organosilicon Compounds Part 2: Silicon Based Materials

Boron Hydrides

Boron Hydrides PDF Author: William N. Lipscomb
Publisher: Courier Corporation
ISBN: 0486271986
Category : Science
Languages : en
Pages : 347

Book Description
In this classic monograph, Nobel Prize–winning chemist William N. Lipscomb elucidates his area of expertise: the general structural principles and reactions of boron hydrides and related compounds. Lipscomb's work appeared only a decade after the structures of boron hydrides were first elucidated and their chemistry formulated into a widely applicable framework. His observations led to a major reconsideration of how atoms bond to form stable molecules. A concise treatment of the many separate parts of the structural theory and its relation to chemistry, this volume begins with an overview of boron hydrides and related structures, progressing to three-center bonds and their applications, molecular orbitals, nuclear magnetic resonance studies of boron hydrides and related compounds, and reactions of the boron hydrides. More than 120 diagrams and figures illustrate a variety of structures.

Materials for a Sustainable Future

Materials for a Sustainable Future PDF Author: Trevor M. Letcher
Publisher: Royal Society of Chemistry
ISBN: 1849734070
Category : Nature
Languages : en
Pages : 829

Book Description
Aimed at students, lecturers, researchers, and policy makers, this work describes current developments and points the way forward for new developments regarding materials in our society and how they relate to sustainability.

Magnetic Molecular Materials

Magnetic Molecular Materials PDF Author: D. Gatteschi
Publisher: Springer Science & Business Media
ISBN: 9401132542
Category : Science
Languages : en
Pages : 413

Book Description
One of the major challenges of science in the last few years of the second millennium is learning how to design materials which can fulfill specific tasks. Ambitious as it may be, the possibilities of success are not ne~li~ble provided that all the different expertises merge to overcome the limits of eXIsting disciplines and forming new paradigms science. The NATO Advanced Research Workshop on "Magnetic Molecular Materials" was organized with the above considerations in mind in order to determine which are the most appropriate synthetic strategies, experimental techniques of investigation, and theoretical models which are needed in order to develop new classes of magnetic materials which are based on molecules rather than on metallic or ionic lattices. Why molecules? The answer may be obvious: molecular chemistry in principle fine can tune the structures and the properties of complex aggregates, and nature already provides a large number of molecular aggregates which can perform the most disparate functions. The contributions collected in this book provide a rather complete view of the current research accomplishments of magnetic molecular materials. There are several different synthetic approaches which are followed ranging from purely organic to inorganic materials. Some encouraging successes have already been achieved, even if the critical temperatures below which magnetic order is observed still are in the range requiring liquid helium.

Directed Evolution of Selective Enzymes

Directed Evolution of Selective Enzymes PDF Author: Manfred T. Reetz
Publisher: John Wiley & Sons
ISBN: 3527316604
Category : Science
Languages : en
Pages : 320

Book Description
Authored by one of the world's leading organic chemists, this authoritative reference provides an overview of basic strategies in directed evolution and introduces common gene mutagenesis, screening and selection methods. Throughout the text, emphasis is placed on methodology development to maximize efficiency, reliability and speed of the experiments and to provide guidelines for efficient protein engineering. Professor Reetz highlights the application of directed evolution experiments to address limitations in the field of enzyme selectivity, substrate scope, activity and robustness. He critically reviews recent developments and case studies, takes a look at future applications in the field of organic synthesis, and concludes with lessons learned from previous experiments.

Molecular Metals

Molecular Metals PDF Author: William Hatfield
Publisher: Springer Science & Business Media
ISBN: 1468434802
Category : Technology & Engineering
Languages : en
Pages : 542

Book Description
During the past few years there has been intense research activity in the design, synthesis, and characterization of materials which are formed from molecular precursors, and which have high or metal-like electrical conductivities, i.e. dcr/dT