PrimeFaces Tree + sélection + dialog

Bonjour a tous !

j'ai un problème avec le composant "tree" de primefaces. En fait, j'ai essayé de faire un tree avec une sélection multiple. ca marche a merveille! mais quand je place ce tree dans un dialog. la sélection ne marche pas.

je vous fais part de mon code. la managed Bean

Code:

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package com.otv.managed.bean;
 
import java.io.Serializable;
 
import javax.faces.bean.ManagedBean;
import javax.faces.bean.SessionScoped;
import javax.faces.application.FacesMessage;  
import javax.faces.context.FacesContext;  
import javax.faces.event.ActionEvent;  
 
import org.primefaces.model.DefaultTreeNode;
import org.primefaces.model.TreeNode;
 
 
@ManagedBean(name="tMB")
@SessionScoped
public class TreeMB implements Serializable {
 
	private static final long serialVersionUID = 1L;
 
	 private TreeNode root;   
	 private TreeNode[] selectedNodes;
 
	 public TreeMB() {  
	        root = new DefaultTreeNode("Root", null);  
	        TreeNode node = new DefaultTreeNode("List", root);  
			TreeNode node0 = new DefaultTreeNode("Provider", node);  
	        TreeNode node1 = new DefaultTreeNode("RNC", node);  
	        TreeNode node2 = new DefaultTreeNode("WBTS", node);  
	        TreeNode node3 = new DefaultTreeNode("CGI", node);  
	        TreeNode node4 = new DefaultTreeNode("CI", node);   
	        TreeNode node5 = new DefaultTreeNode("NomCell", node);  
	        TreeNode node6 = new DefaultTreeNode("Label", node);  
	        TreeNode node7 = new DefaultTreeNode("Frequency_Band", node);  
	        TreeNode node8 = new DefaultTreeNode("RAC", node);  
	        TreeNode node9 = new DefaultTreeNode("LAC", node);  
	        TreeNode node10 = new DefaultTreeNode("NetworkId", node);  
 
	    }  
	 public void displaySelectedMultiple(ActionEvent event) {  
	        if(selectedNodes != null && selectedNodes.length > 0) {  
	            StringBuilder builder = new StringBuilder();  
 
	            for(TreeNode node : selectedNodes) {  
	                builder.append(node.getData().toString());  
	                builder.append("<br />");  
	                System.out.println(node);
	            }  
 
	            FacesMessage message = new FacesMessage(FacesMessage.SEVERITY_INFO, "Selected", builder.toString());  
 
	            FacesContext.getCurrentInstance().addMessage(null, message);  
	        }  
	    }  
 
	public TreeNode getRoot() {
		return root;
	}
	public void setRoot(TreeNode root) {
		this.root = root;
	}
	public TreeNode[] getSelectedNodes() {
		return selectedNodes;
	}
	public void setSelectedNodes(TreeNode[] selectedNodes) {
		this.selectedNodes = selectedNodes;
	} 
 
 
 
}

et la page xhtml

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<html xmlns="http://www.w3.org/1999/xhtml"
	xmlns:h="http://java.sun.com/jsf/html"
	xmlns:f="http://java.sun.com/jsf/core"
	xmlns:p="http://primefaces.org/ui">
 
<h:head>
	<title>Welcome to JSF_PrimeFaces_Spring_Hibernate Project</title>
</h:head>
<body>
	<f:view>
		<h:form id="fd">
			<p:growl id="messages" showDetail="true" escape="false" />
			<p:commandButton id="basic" value="Show Dialog" onclick="dlg.show();"
				type="button" />
			<p:dialog header="Dialog" widgetVar="dlg" update=":fd"
				maximizable="true" minimizable="true" resizable="true"
				draggable="false" width="800" height="600" showEffect="fade"
				hideEffect="fade" modal="true" appendToBody="true">
 
				<p:tree value="#{tMB.root}" var="node" selectionMode="multiple"
					selection="#{tMB.selectedNodes}" id="treeMultiple">
 
					<p:treeNode>
						<h:outputText value="#{node}" />
					</p:treeNode>
				</p:tree>
 
				<p:commandButton value="Display Selected" update="messages"
					actionListener="#{tMB.displaySelectedMultiple}" id="btnDisplay" />
			</p:dialog>
		</h:form>
	</f:view>
</body>
</html>

quelqu'un peut m'aider!