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

by Qiang Fu, Bangming Deng, Jie Du

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...

• Format: Paperback
• Language: English
• ISBN: 1107608600
• ISBN13: 9781107608603
• Release Date: September 2013
• Publisher: Cambridge University Press
• Length: 216 Pages
• Weight: 0.70 lbs.
• Dimensions: 0.5" x 5.9" x 9.0"