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I found a solution how to add and delete rows of rich:extendedDataTable. Please, see an example:

<h:form>

    Create item:

    <h:inputText value="#{updateExtDataTableBean.item}"/>

    <a4j:commandButton value="Create"

                       actionListener="#{updateExtDataTableBean.addItem}"

                       render="table1"

                       execute="@form"/>

    <a4j:commandButton value="Delete selection"

                       actionListener="#{updateExtDataTableBean.deleteItem}"

                       render="table1"

                       execute="@form"

            />

    <p/>

    <a4j:outputPanel id="table1" layout="block">

        <rich:extendedDataTable binding="#{updateExtDataTableBean.uitable}"

                                value="#{updateExtDataTableBean.items}" var="item"

                                id="table"

                                styleClass="stable"

                                selection="#{updateExtDataTableBean.selection}"

                                style="width:200px;"

                                selectionMode="multi"

                >

            <rich:column width="199px">

                <f:facet name="header">

                    <h:outputText value="Items"/>

                </f:facet>

                <h:outputText value="#{item}"/>

            </rich:column>

        </rich:extendedDataTable>

    </a4j:outputPanel>

</h:form>

Corresponding bean is:

package ru.agost.jsf.beans.tests;

import com.google.common.collect.Lists;

import com.google.common.collect.Ordering;

import com.google.common.collect.Sets;

import org.richfaces.component.UIExtendedDataTable;

import javax.annotation.PostConstruct;

import javax.faces.bean.ManagedBean;

import javax.faces.bean.ViewScoped;

import java.io.Serializable;

import java.util.Collection;

import java.util.List;

import java.util.Set;

@ManagedBean

@ViewScoped

public class UpdateExtDataTableBean implements Serializable {

    private static final long serialVersionUID = 7908746683927598277L;

    private static Set<String> dataBase = Sets.newTreeSet(Ordering.<Comparable>natural());

    private String item;

    private List<String> items;

    private Collection<Object> selection;

    private transient UIExtendedDataTable uitable;

    @PostConstruct

    public void init() {

        items = Lists.newArrayList(dataBase);

    }

    public void updateTable() {

        items = Lists.newArrayList(dataBase);

    }

    public void addItem() {

        if (item != null || "".equals(item)) {

            dataBase.add(item);

            updateTable();

        }

    }

    public void deleteItem() {

        if (!selection.isEmpty()) {

            Object originalKey = uitable.getRowKey();

            for (Object selectionKey : selection) {

                uitable.setRowKey(selectionKey);

                if (uitable.isRowAvailable()) {

                    String searchedItem = (String) uitable.getRowData();

                    dataBase.remove(searchedItem);

                }

            }

            uitable.setRowKey(originalKey);

            uitable.getSelection().clear();

        }

        updateTable();

    }

    public String getItem() {

        return item;

    }

    public void setItem(String item) {

        this.item = item;

    }

    public List<String> getItems() {

        return items;

    }

    public void setItems(List<String> items) {

        this.items = items;

    }

    public Collection<Object> getSelection() {

        return selection;

    }

    public void setSelection(Collection<Object> selection) {

        this.selection = selection;

    }

    public UIExtendedDataTable getUitable() {

        return uitable;

    }

    public void setUitable(UIExtendedDataTable uitable) {

        this.uitable = uitable;

    }

}