Embeddings of Schur functions into types B/C/D
| dc.creator | Kleber, Michael | |
| dc.date | 2000-09-21 | |
| dc.date | 2000-10-05 | |
| dc.date.accessioned | 2026-07-07T04:37:39Z | |
| dc.date.available | 2026-07-07T04:37:39Z | |
| dc.description | We consider the problem of embedding the semi-ring of Schur-positive symmetric polynomials into its analogue for the classical types $B/C/D$. If we preserve highest weights and add the additional Lie-theoretic parity assumption that the weights in images of Schur functions lie in a single translate of the root lattice, there are exactly two solutions. These naturally extend the Kirillov--Reshetikhin decompositions of representations of symplectic and orthogonal quantum affine algebras $U_q(\hat{g})$ (some still conjectural, some recently proven). | |
| dc.description | 13 pages. Minor changes only. Submitted to Journal of Algebra. "This work has been submitted to Academic Press for possible publication | |
| dc.identifier | https://arxiv.org/abs/math/0009199 | |
| dc.identifier | http://arxiv.org/abs/math/0009199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59979 | |
| dc.subject | Combinatorics | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 05E05 (Primary) 17B10, 17B37(Secondary) | |
| dc.title | Embeddings of Schur functions into types B/C/D | |
| dc.type | text |