Decomposition of $q$-deformed Fock spaces
| dc.creator | Kashiwara, Masaki | |
| dc.creator | Miwa, Tetsuji | |
| dc.creator | Stern, Eugene | |
| dc.date | 1995-08-14 | |
| dc.date.accessioned | 2026-07-07T09:16:38Z | |
| dc.date.available | 2026-07-07T09:16:38Z | |
| dc.description | A decomposition of the level-one $q$-deformed Fock representations of $\uqn$ is given. It is found that the action of $\upqn$ on these Fock spaces is centralized by a Heisenberg algebra, which arises from the center of the affine Hecke algebra $\widehat{H}_N$ in the limit $N \rightarrow \infty$. The $q$-deformed Fock space is shown to be isomorphic as a $\upqn$-Heisenberg-bimodule to the tensor product of a level-one irreducible highest weight representation of $\upqn$ and the Fock representation of the Heisenberg algebra. The isomorphism is used to decompose the $q$-wedging operators, which are intertwiners between the $q$-deformed Fock spaces, into constituents coming from $\upqn$ and from the Heisenberg algebra. | |
| dc.description | 20 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/q-alg/9508006 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9508006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153421 | |
| dc.subject | Quantum Algebra | |
| dc.title | Decomposition of $q$-deformed Fock spaces | |
| dc.type | text |