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A Double Hall Algebra Approach To Affine Quantum Schur-weyl Theory
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Rank: 10%
Blackstar Blackstar Blackstar Blackstar Blackstar
The theory of Schur-Weyl duality has had a profound influence over many areas of algebra and combinatorics


Specifications
  • A Double Hall Algebra Approach To Affine Quantum Schur-weyl Theory available on May 19 2016 from Indigo for 60.95
  • A Double Hall Algebra Approach to Affine Quantum Schur-weyl Theory available on January 08 2016 from ECampus for 58.50
  • ISBN bar code 9781107608603 ξ1 registered May 19 2016
  • ISBN bar code 9781107608603 ξ2 registered July 21 2013
  • Product category is Book

  • # 978110760860
  • # 9781107608603N

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.


References
    ^ A Double Hall Algebra Approach To Affine Quantum Schur-weyl Theory Indigo. (revised May 2016)
    ^ (2013). A Double Hall Algebra Approach to Affine Quantum Schur-weyl Theory ECampus. (revised Jan 2016)

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