Fermionic $q$-Fock Space and Braided Geometry
| dc.creator | Majid, S. | |
| dc.date | 1995-12-05 | |
| dc.date.accessioned | 2026-07-07T09:16:45Z | |
| dc.date.available | 2026-07-07T09:16:45Z | |
| dc.description | We write the fermionic $q$-Fock space representation of $U_q(\hat{sl_n})$ as an infinite extended braided tensor product of finite-dimensional fermionic $U_q(sl_n)$-quantum planes or exterior algebras. Using braided geometrical techniques developed for such quantum exterior algebras, we provide a new approach to the Kashiwara-Miwa-Stern action of the Heisenberg algebra on the $q$-fermionic Fock space, obtaining the action in detail for the lowest nontrivial case $[b_{2},b_{-2}]=2({1-q^{-4n}\over 1-q^{-4}})$. Our R-matrix approach includes other Hecke R-matrices as well. | |
| dc.description | LATEX 12 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9512006 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9512006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153466 | |
| dc.subject | Quantum Algebra | |
| dc.title | Fermionic $q$-Fock Space and Braided Geometry | |
| dc.type | text |