J. van de Leur

activity

19932023

most citedThe

n

-component KP hierarchy and representation theory

195 citations · 496 across the 30 of their papers we have counts for

collaborators

Showing 1994Show all

4 papers · 1 filter

hep-th1994★ 35 cited

The Adler-Shiota-van Moerbeke formula for the BKP hierarchy

Johan van de Leur

We study the BKP hierarchy and prove the existence of an Adler--Shiota--van Moerbeke formula. This formula relates the action of the $B W_{1 + \infty}$ --algebra on tau--functions to t…

hep-th1994★ 3 cited

The $[n_{1}, n_{2}, \dots, n_{s}]$ --th reduced KP hierarchy and $W_{1 + \infty}$ constraints

Johan van de Leur

To every partition $n = n_{1} + n_{2} + \dots + n_{s}$ one can associate a vertex operator realization of the Lie algebras $a_{\infty}$ and $g l^_{n}$ . Using this construction we obtain reduc…

hep-th1994★ 13 cited

The $W_{1 + \infty} (g l_{s})$ --symmetries of the $S$ --component KP hierarchy

Johan van de Leur

Adler, Shiota and van Moerbeke obtained for the KP and Toda lattice hierarchies a formula which translates the action of the vertex operator on tau--functions to an action of a ver…

hep-th1994★ 11 cited

KdV type hierarchies, the string equation and $W_{1 + \infty}$ constraints

Johan van de Leur

To every partition $n = n_{1} + n_{2} + \dots + n_{s}$ one can associate a vertex operator realization of the Lie algebras $a_{\infty}$ and $g l^_{n}$ . Using this construction we make reducti…

The Adler-Shiota-van Moerbeke formula for the BKP hierarchy

The [n1​,n2​,…,ns​]--th reduced KP hierarchy and W1+∞​ constraints

The W1+∞​(gls​)--symmetries of the S--component KP hierarchy

KdV type hierarchies, the string equation and W1+∞​ constraints

The $[n_{1}, n_{2}, \dots, n_{s}]$ --th reduced KP hierarchy and $W_{1 + \infty}$ constraints

The $W_{1 + \infty} (g l_{s})$ --symmetries of the $S$ --component KP hierarchy

KdV type hierarchies, the string equation and $W_{1 + \infty}$ constraints