Lattice W algebras and quantum groups
| dc.creator | Kryukov, S. V. | |
| dc.creator | Pugay, Ya. P. | |
| dc.date | 1993-10-22 | |
| dc.date | 1993-10-28 | |
| dc.date.accessioned | 2026-07-07T09:01:22Z | |
| dc.date.available | 2026-07-07T09:01:22Z | |
| dc.description | We represent Feigin's construction [11] of lattice W algebras and give some simple results: lattice Virasoro and $W_3$ algebras. For simplest case $g=sl(2)$ we introduce whole $U_q(sl(2))$ quantum group on this lattice. We find simplest two-dimensional module as well as exchange relations and define lattice Virasoro algebra as algebra of invariants of $U_q(sl(2))$. Another generalization is connected with lattice integrals of motion as the invariants of quantum affine group $U_q(\hat{n}_{+})$. We show that Volkov's scheme leads to the system of difference equations for the function from non-commutative variables.Continium limit of this lattice algebras are considered. | |
| dc.description | 15 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9310154 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9310154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148298 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Lattice W algebras and quantum groups | |
| dc.type | text |