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Author : Dongho Moon
Release : 1998
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Schur-Weyl Dualities for Lie Superalgebras and Lie Color Algebras by : Dongho Moon
Download or read book Schur-Weyl Dualities for Lie Superalgebras and Lie Color Algebras written by Dongho Moon. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shun-Jen Cheng
Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 189/5 ( reviews)
Book Synopsis Dualities and Representations of Lie Superalgebras by : Shun-Jen Cheng
Download or read book Dualities and Representations of Lie Superalgebras written by Shun-Jen Cheng. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Sang Geun Hahn
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 725/5 ( reviews)
Book Synopsis Recent Progress in Algebra by : Sang Geun Hahn
Download or read book Recent Progress in Algebra written by Sang Geun Hahn. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the international conference on "Recent Progress in Algebra" that was held at the Korea Advanced Institute of Science and Technology (KAIST) and Korea Institute for Advanced Study (KIAS). It brought together experts in the field to discuss progress in algebra, combinatorics, algebraic geometry and number theory. This book contains selected papers contributed by conference participants. The papers cover a wide range of topics and reflect the current state of research in modern algebra.
Author :
Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Mathematical Reviews by :
Download or read book Mathematical Reviews written by . This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Molev
Release : 2018
Genre :
Kind : eBook
Book Rating : 917/5 ( reviews)
Book Synopsis Sugawara Operators for Classical Lie Algebras by : Alexander Molev
Download or read book Sugawara Operators for Classical Lie Algebras written by Alexander Molev. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt: The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials on the classical Lie algebras. The emergence of the theory of quantum groups in the 1980s brought up special matrix techniques which allowed one to extend these constructions beyond polynomial invariants and produce new families of Casimir elements for finite-dimensional Lie algebras. Sugawara operators are analogs of Casimir elements for the affine Kac-Moody algebras. The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex alge.
