From Littlewood-Richardson coefficients to cluster algebras in three lectures
| dc.creator | Zelevinsky, Andrei | |
| dc.date | 2001-12-06 | |
| dc.date | 2002-01-24 | |
| dc.date.accessioned | 2026-07-07T04:45:04Z | |
| dc.date.available | 2026-07-07T04:45:04Z | |
| dc.description | This is an expanded version of the notes of my three lectures at a NATO Advanced Study Institute ``Symmetric functions 2001: surveys of developments and perspectives" (Isaac Newton Institute for Mathematical Sciences, Cambridge, UK; June 25-July 6, 2001). Lecture I presents a unified expression due to A. Berenstein and the author for generalized Littlewood-Richardson coefficients (= tensor product multiplicities) for any complex semisimple Lie algebra. Lecture II outlines a proof of this result; the main idea of the proof is to relate the LR-coefficients with canonical bases and total positivity. Lecture III introduces cluster algebras, a new class of commutative algebras introduced by S. Fomin and the author in an attempt to create an algebraic framework for canonical bases and total positivity. | |
| dc.description | Latex, 17 pages, Theorem 3.2 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0112062 | |
| dc.identifier | http://arxiv.org/abs/math/0112062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62835 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | From Littlewood-Richardson coefficients to cluster algebras in three lectures | |
| dc.type | text |