A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory

Nonfiction, Science & Nature, Mathematics, Combinatorics, Algebra
Cover of the book A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory by Bangming Deng, Jie Du, Qiang Fu, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Bangming Deng, Jie Du, Qiang Fu ISBN: 9781139794459
Publisher: Cambridge University Press Publication: December 6, 2012
Imprint: Cambridge University Press Language: English
Author: Bangming Deng, Jie Du, Qiang Fu
ISBN: 9781139794459
Publisher: Cambridge University Press
Publication: December 6, 2012
Imprint: Cambridge University Press
Language: English

The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.

More books from Cambridge University Press

Cover of the book The Cambridge Companion to Nineteenth-Century Thought by Bangming Deng, Jie Du, Qiang Fu
Cover of the book The Fall of the House of Labor by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Deep-Sky Companions: Southern Gems by Bangming Deng, Jie Du, Qiang Fu
Cover of the book The Invisible Constitution in Comparative Perspective by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Differential Games in Industrial Economics by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Across Forest, Steppe, and Mountain by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Cosmic Magnetic Fields by Bangming Deng, Jie Du, Qiang Fu
Cover of the book African Perspectives on Trade and the WTO by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Pope Benedict XVI's Legal Thought by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Democracy Prevention by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Public Rights by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Sovereignty in Fragments by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Principles of Digital Communication by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Dynamic Models for Volatility and Heavy Tails by Bangming Deng, Jie Du, Qiang Fu
Cover of the book A Company's Right to Damages for Non-Pecuniary Loss by Bangming Deng, Jie Du, Qiang Fu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy