caa a22 4500 477076831 CHVBK 20180405111440.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF00116521 doi (NATIONALLICENCE)springer-10.1007/BF00116521 Van de Leur Johan Faculty of Applied Mathematics, University of Twente, PO Box 217, 7500 AE, Enschede, The Netherlands aut The n th reduced BKP hierarchy, the string equation and BW 1+∞-constraints [Elektronische Daten] [Johan Van de Leur] We study the BKP hierarchy and its n-reduction, for the case that n is odd. This is related to the principal realization of the basic module of the twisted affine Lie algebra % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqaqpepeea0dXdb9aqVe% 0larpepe0lb9cs0-LqLs-Jarpepeea0-qqVe0Firpepa0xar-xfr-x% fj-hmeGabaqaciGacaGaaeqabaWaaeaaeaaakeaadaWfGaqaaiGaco% hacaGGSbWaaSbaaSqaaiaac6gaaeqaaaqabKqaGhaacqWIh4ETaaGc% daahaaWcbeqaaiaacIcacaaIYaGaaiykaaaaaaa!3B2F!\[\mathop {{\mathop{\rm sl}\nolimits} _n }\limits^ ^{(2)} \]. We show that the following two statements for a BKP τ function are equivalent: (1) τ is is n-reduced and satisfies the string equation, i.e., L -1τ=0, where L -1 is an element of some ‘natural' Virasoro algebra. (2) τ satisfies the vacuum constraints of the BW 1+∞ algebra. Here BW 1+∞ is the natural analog of the W 1+∞ algebra, which plays a role in the KP case. Kluwer Academic Publishers, 1996 BKP hierarchy nationallicence pseudo-differential operators nationallicence vertex operators nationallicence differential operators on the circle nationallicence the string equation nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers; http://www.wkap.nl 44/1-2(1996-08-01), 185-206 0167-8019 44:1-2<185 1996 44 10440 https://doi.org/10.1007/BF00116521 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00116521 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Van de Leur Johan Faculty of Applied Mathematics, University of Twente, PO Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; http://www.wkap.nl 44/1-2(1996-08-01), 185-206 0167-8019 44:1-2<185 1996 44 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer