{"product_id":"a-double-hall-algebra-approach-bangming-deng-9781107608603","title":"A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Bangming Deng,Jie Du,Qiang Fu\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1107608600\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781107608603\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/06\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 216\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.70lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 5.90w x 0.50d","brand":"Bangming Deng","offers":[{"title":"Paperback","offer_id":48659227345151,"sku":"9781107608603","price":67.0,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/a-double-hall-algebra-approach-bangming-deng-9781107608603","provider":"WR Book House","version":"1.0","type":"link"}