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 Tyranny by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Social Theory of International Politics by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Introduction to the High Temperature Oxidation of Metals by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Economic Development by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Pragmatism and American Experience by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Looking into the Earth by Bangming Deng, Jie Du, Qiang Fu
Cover of the book The Political Logic of Poverty Relief by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Tennessee Williams and the Theatre of Excess by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Hitler versus Hindenburg by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Engineering and Product Development Management by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Representations of Elementary Abelian p-Groups and Vector Bundles by Bangming Deng, Jie Du, Qiang Fu
Cover of the book The Cambridge Introduction to Chekhov by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Principles of Automated Negotiation by Bangming Deng, Jie Du, Qiang Fu
Cover of the book An Independent Study Guide to Reading Latin by Bangming Deng, Jie Du, Qiang Fu
Cover of the book Comparative Cognition 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