Download PDF by Bangming Deng,Jie Du,Qiang Fu: A Double Hall Algebra Approach to Affine Quantum Schur-Weyl

By Bangming Deng,Jie Du,Qiang Fu

the idea of Schur–Weyl duality has had a profound impression over many parts of algebra and combinatorics. this article is unique in respects: it discusses affine q-Schur algebras and offers an algebraic, in preference to geometric, method of affine quantum Schur–Weyl concept. to start, numerous algebraic constructions are mentioned, together with double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. the remainder of the e-book investigates the affine quantum Schur–Weyl duality on 3 degrees. This comprises the affine quantum Schur–Weyl reciprocity, the bridging position of affine q-Schur algebras among representations of the quantum loop algebras and people of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with an evidence of the classical case. this article is perfect for researchers in algebra and graduate scholars who are looking to grasp Ringel–Hall algebras and Schur–Weyl duality.

Show description

Read or Download A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory (London Mathematical Society Lecture Note Series) PDF

Best calculus books

George A Anastassiou's Frontiers in Time Scales and Inequalities (Series on PDF

This monograph includes the author's paintings of the final 4 years in discrete and fractional research. It introduces the suitable delta and correct nabla fractional calculus on time scales and keeps with the appropriate delta and correct nabla discrete fractional calculus within the Caputo feel. Then, it exhibits illustration formulae of features on time scales and provides Ostrowski sort inequalities, Landau variety inequalities, Grüss variety and comparability of ability inequalities, most of these through the years scales.

Read e-book online Cracking the AP Calculus BC Exam, 2018 Edition: Proven PDF

Every thing you must rating an ideal five. Ace the AP Calculus BC examination with this accomplished learn guide—including three full-length perform exams, thorough content material reviews, access to our AP Connect online portal, and targeted innovations for each query variety. This e-book version has been optimized for on-screen studying with cross-linked questions, solutions, and motives.

A Basic Course in Probability Theory (Universitext) by Rabi Bhattacharya,Edward C. Waymire PDF

This article develops the mandatory history in likelihood conception underlying various remedies of stochastic procedures and their wide-ranging purposes. during this moment variation, the textual content has been reorganized for didactic reasons, new routines were additional and easy idea has been accelerated.  General Markov based sequences and their convergence to equilibrium is the topic of a wholly new bankruptcy.

Äquivariante Torsion auf Kontakt-Mannigfaltigkeiten by Pascal Teßmer PDF

Pascal Teßmer verallgemeinert die von Michel Rumin eingeführte Kontakt-Torsion für den äquivarianten Fall, wobei diese Größe von der Metrik abhängt. Darauf basierend untersucht der Autor deren Verhalten in Hinblick auf eine glatte version der Metrik. Dabei werden auch die Fälle der fixpunktfreien und der Operation mit isolierten Fixpunkten betrachtet und explizite Variationsformeln berechnet.

Extra info for A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory (London Mathematical Society Lecture Note Series)

Example text

Download PDF sample

A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory (London Mathematical Society Lecture Note Series) by Bangming Deng,Jie Du,Qiang Fu

by Steven

Rated 4.85 of 5 – based on 50 votes