Name: A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory Paperback (London Mathematical Society Lecture Note Series) (en Inglés)
Price: 263292.00 COP
Availability: InStock
Author: Deng, Bangming ; Du, Jie ; Fu, Qiang
ISBN: 9781107608603

portada A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory Paperback (London Mathematical Society Lecture Note Series) (en Inglés)

A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory Paperback (London Mathematical Society Lecture Note Series) (en Inglés)

Formato

Libro Físico

Autor

Jie Du

Bangming Deng

Qiang Fu

Editorial

Cambridge University Press

Tema

Matematicas

Año

2012

Idioma

Inglés

N° páginas

216

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.0 x 1.3 cm

Peso

0.32 kg.

ISBN

1107608600

ISBN13

9781107608603

N° edición

Categorías

Álgebra
Cálculo

A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory Paperback (London Mathematical Society Lecture Note Series) (en Inglés)

Jie Du (Autor) · Bangming Deng (Autor) · Qiang Fu (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory Paperback (London Mathematical Society Lecture Note Series) (en Inglés)"

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.