The exponential nature and positivity

Simple item page
dc.creatorJakobsen, Hans Plesner
dc.creatorZhang, Hechun
dc.date2005-10-13
dc.date.accessioned2026-07-07T06:47:28Z
dc.date.available2026-07-07T06:47:28Z
dc.descriptionIn the present article, a basis of the coordinate algebra of the multi-parameter quantized matrix is constructed by using an elementary method due to Lusztig. The construction depends heavily on an anti-automorphism, the bar action. The exponential nature of the bar action is derived which provides an inductive way to compute the basis elements. By embedding the basis into the dual basis of Lusztig's canonical basis of $U_q(n^-)$, the positivity properties of the basis as well as the positivity properties of the canonical basis of the modified quantum enveloping algebra of type $A$, which has been conjectured by Lusztig, are proved.
dc.identifierhttps://arxiv.org/abs/math/0510289
dc.identifierhttp://arxiv.org/abs/math/0510289
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103663
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37
dc.titleThe exponential nature and positivity
dc.typetext

Files

Collections

arXiv