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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.

Pillared Clays and Related Catalysts

Pillared Clays and Related Catalysts PDF Author: Antonio Gil
Publisher: Springer Science & Business Media
ISBN: 1441966706
Category : Science
Languages : en
Pages : 531

Book Description
Since the first works introducing the aluminum intercalated clay family in the early 1970s, interest in the synthesis of pillared interlayered clays has increased tremendously, especially research into the properties and applications of new synthesis methods. The need for solids that could be used as cracking catalysts with larger pores than zeolitic materials has spurred the synthesis of new porous materials from clays. Pillared Clays and Related Catalysts reviews the properties and applications of pillared clays and other layered materials used as catalysts, focusing on: the acidity of pillared clays and the effect it has on catalytic performance the use of pillared clays as supports for catalytically active phases, and the use of the resulting solids in environmentally friendly reactions the applications of the selective reduction of NOx the comparison between the reactions of pillared clays and anionic clays.

Scars and Memories

Scars and Memories PDF Author: Odie Hawkins
Publisher: Open Road Distribution
ISBN: 9781504035910
Category : Biography & Autobiography
Languages : en
Pages : 216

Book Description
The deeply personal story of Odie Hawkins's journey, from "the poorest of the poor" childhood in Chicago to Hollywood screenwriter--and the people who deeply mattered. A tough, touching autobiography.

4th and Fixed

4th and Fixed PDF Author: Reggie Rivers
Publisher: Sourcebooks, Inc.
ISBN: 1402252633
Category : Football
Languages : en
Pages : 361

Book Description
Fix a Super Bowl? I never thought it possible, but 4th and Fixed is so chock-full of NFL skinny that it sweeps you along from the field to the front office and makes you believe. --Frank Deford

Yvain

Yvain PDF Author: Chretien de Troyes
Publisher: Yale University Press
ISBN: 0300187580
Category : Poetry
Languages : en
Pages : 242

Book Description
The twelfth-century French poet Chrétien de Troyes is a major figure in European literature. His courtly romances fathered the Arthurian tradition and influenced countless other poets in England as well as on the continent. Yet because of the difficulty of capturing his swift-moving style in translation, English-speaking audiences are largely unfamiliar with the pleasures of reading his poems. Now, for the first time, an experienced translator of medieval verse who is himself a poet provides a translation of Chrétien’s major poem, Yvain, in verse that fully and satisfyingly captures the movement, the sense, and the spirit of the Old French original. Yvain is a courtly romance with a moral tenor; it is ironic and sometimes bawdy; the poetry is crisp and vivid. In addition, the psychological and the socio-historical perceptions of the poem are of profound literary and historical importance, for it evokes the emotions and the values of a flourishing, vibrant medieval past.

I Have a Dog

I Have a Dog PDF Author: Charlotte Lance
Publisher: Allen & Unwin
ISBN: 1743317816
Category : Juvenile Fiction
Languages : en
Pages : 36

Book Description
I have a dog. An inconvenient dog. When I wake up, my dog is inconvenient. When I'm getting dressed, my dog is inconvenient. And when I'm making tunnels, my dog is SUPER inconvenient. But sometimes, an inconvenient dog can be big and warm and cuddly. Sometimes, an inconvenient dog can be the most comforting friend in the whole wide world.

Charles Pettigrew, First Bishop-elect of the North Carolina Episcopal Church

Charles Pettigrew, First Bishop-elect of the North Carolina Episcopal Church PDF Author: Bennett H Wall
Publisher: Hassell Street Press
ISBN: 9781015031500
Category :
Languages : en
Pages : 32

Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Dare

The Dare PDF Author: Harley Laroux
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description
Jessica Martin is not a nice girl. As Prom Queen and Captain of the cheer squad, she'd ruled her school mercilessly, looking down her nose at everyone she deemed unworthy. The most unworthy of them all? The "freak," Manson Reed: her favorite victim. But a lot changes after high school. A freak like him never should have ended up at the same Halloween party as her. He never should have been able to beat her at a game of Drink or Dare. He never should have been able to humiliate her in front of everyone. Losing the game means taking the dare: a dare to serve Manson for the entire night as his slave. It's a dare that Jessica's pride - and curiosity - won't allow her to refuse. What ensues is a dark game of pleasure and pain, fear and desire. Is it only a game? Only revenge? Only a dare? Or is it something more? The Dare is an 18+ erotic romance novella and a prequel to the Losers Duet. Reader discretion is strongly advised. This book contains graphic sexual scenes, intense scenes of BDSM, and strong language. A full content note can be found in the front matter of the book.

The Selective Catalytic Reduction of Nitric Oxide with Ammonia

The Selective Catalytic Reduction of Nitric Oxide with Ammonia PDF Author: Hans Bosch
Publisher:
ISBN: 9789090019048
Category :
Languages : en
Pages : 207

Book Description


Falling Free

Falling Free PDF Author: Lois McMaster Bujold
Publisher: Baen
ISBN: 9781416555469
Category : Fiction
Languages : en
Pages : 320

Book Description
Leo Graf was just your average highly efficient engineer: min your own business, fix what's wrong and move on to the next job. Everything neat and according to spec, just the way he liked it. But all that changed on his assignment to the Cay Habitat. Could you just stand there and allow the exploitation of hundreds of helpless children merely to enhance the bottom line of a heartless mega-corporation? Leo Graf adopted a thousand quaddies -- now all he had to do was teach them to be free.