Bangming Deng,Jie Du,Qiang Fu's A Double Hall Algebra Approach to Affine Quantum Schur-Weyl PDF

By Bangming Deng,Jie Du,Qiang Fu

the idea of Schur–Weyl duality has had a profound impression over many components of algebra and combinatorics. this article is unique in respects: it discusses affine q-Schur algebras and provides an algebraic, rather than geometric, method of affine quantum Schur–Weyl idea. to start, a number of algebraic constructions are mentioned, together with double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. the remainder of the publication investigates the affine quantum Schur–Weyl duality on 3 degrees. This contains the affine quantum Schur–Weyl reciprocity, the bridging function 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 Online or Download A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory (London Mathematical Society Lecture Note Series) PDF

Best calculus books

New PDF release: Elliptic Theory on Singular Manifolds (Differential and

The research and topology of elliptic operators on manifolds with singularities are even more advanced than within the gentle case and require thoroughly new mathematical notions and theories. whereas there has lately been a lot growth within the box, lots of those effects have remained scattered in journals and preprints.

Read e-book online Solutions Manual to Accompany Fundamentals of Calculus PDF

A suggestions handbook to accompany Fundamentals of Calculus basics of Calculus illustrates the weather of finite calculus with the numerous formulation for strength, quotient, and product principles that correlate markedly with conventional calculus. that includes calculus because the “mathematics of change,” each one bankruptcy concludes with a historic notes part.

Get Treatise on Analysis: Volume 10 in International Series of PDF

Treatise on research, quantity 10–VII offers details pertinent to the elemental facets of linear sensible equations. This ebook discusses the issues facing useful equations of scalar or of vectors. constituted of one bankruptcy, this quantity starts off with an outline and learn of the first innovations and instruments that experience triggered the growth within the learn of linear partial differential equations.

Calculus for Business, Economics, and the Social and Life by Laurence Hoffmann PDF

Calculus for enterprise Economics and the Social and existence Sciences short variation offers a valid intuitive figuring out of the fundamental ideas scholars desire as they pursue careers in enterprise economics and the existence and social sciences. scholars be successful utilizing this article as a result author's utilized and real-world orientation to techniques problem-solving method effortless and concise writing kind and accomplished workout units.

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

Sample 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 Thomas

Rated 4.38 of 5 – based on 14 votes