Quantum Painlevé systems of type $A^{(1)}_l$

Simple item page
dc.creatorNagoya, Hajime
dc.date2004-02-17
dc.date2004-06-20
dc.date.accessioned2026-07-07T05:05:31Z
dc.date.available2026-07-07T05:05:31Z
dc.descriptionWe propose quantum Painlevé systems of type $A_l^{(1)}$. These systems, for $l=1$ and $l\ge 2$, should be regarded as quantizations of the second Painlevé equation and the differential systems with the affine Weyl group symmetries of type $A_l^{(1)}$ studied by M. Noumi and Y. Yamada \cite{NYhigherorder}, respectively. These quantizations enjoy the affine Weyl group symmetries of type $A_l^{(1)}$ as well as the Lax representations. The quantized systems of type $A_1^{(1)}$ and type $A_l^{(1)}$ ($l= 2n$) can be obtained as the continuous limits of the discrete systems constructed from the affine Weyl group symmetries of type $A_2^{(1)}$ and $A_{l+1}^{(1)}$, respectively.
dc.description26 pages; v2, minor changes, corrected typos, add $l=1$ case to Section 2
dc.identifierhttps://arxiv.org/abs/math/0402281
dc.identifierhttp://arxiv.org/abs/math/0402281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70195
dc.subjectQuantum Algebra
dc.titleQuantum Painlevé systems of type $A^{(1)}_l$
dc.typetext

Files

Collections

arXiv