Sugawara operators for classical lie algebras (Record no. 559274)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01791 a2200217 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20180924110139.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180918b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781470436599 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.482 |
| Item number | M732s |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Molev, Alexander |
| 245 ## - TITLE STATEMENT | |
| Title | Sugawara operators for classical lie algebras |
| Statement of responsibility, etc | Alexander Molev |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | American Mathematical Society |
| Year of publication | 2018 |
| Place of publication | Providence |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiv, 304p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Mathematical surveys and monographs; v.229 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials on the classical Lie algebras. The emergence of the theory of quantum groups in the 1980s brought up special matrix techniques which allowed one to extend these constructions beyond polynomial invariants and produce new families of Casimir elements for finite-dimensional Lie algebras. Sugawara operators are analogs of Casimir elements for the affine Kac-Moody algebras. The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex algebras, Yangians, and classical $\mathcal{W}$-algebras, which have numerous ties with many areas of mathematics and mathematical physics, including modular forms, conformal field theory, and soliton equations. An affine version of the matrix technique is developed and used to explain the elegant constructions of Sugawara operators, which appeared in the last decade. An affine analogue of the Harish-Chandra isomorphism connects the Sugawara operators with the classical $\mathcal{W}$-algebras, which play the role of the Weyl group invariants in the finite-dimensional theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Lie algebras |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Affine algebraic groups |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 24/09/2018 | 1 | 7063.31 | 512.482 M732s | A183833 | 8829.14 | Books |