After you have created the product it should have an id.
Here is a fast way to update the product name and short description for a specific store view without calling the resource consuming save
method.
Let's assume that the product id is 10 and the store view id is 2.
Run this:
$productId = 10;
$storeId = 2;
$newName = 'Nom de produit';
$newShortDescription = 'description de produit';
Mage::getSingleton('catalog/product_action')->updateAttributes(
array($productId),
array('name'=>$newName, 'short_description' => $newShortDescription),
$storeId
);