A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory / (Record no. 41419)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02568nam a22004338a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781139226660 (ebook) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.9 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Deng, Bangming, |
| 245 12 - TITLE STATEMENT | |
| Title | A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory / |
| Statement of responsibility, etc | Bangming Deng, Jie Du, Qiang Fu. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge : |
| Name of publisher | Cambridge University Press, |
| Year of publication | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (216 pages) : |
| Other physical details | digital, PDF file(s). |
| 490 0# - SERIES STATEMENT | |
| Series statement | London Mathematical Society Lecture Note Series ; |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 16 Oct 2015). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Schur functions |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Weyl groups |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Representations of Lie groups |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Affine algebraic groups |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Du, Jie, |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Fu, Qiang, |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1017/CBO9781139226660 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Cambridge : |
| -- | Cambridge University Press, |
| -- | 2012. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK12125 | http://dx.doi.org/10.1017/CBO9781139226660 | E-BOOKS |