Imperial bows and swords lack recipes to forge them. In light of Patch 1.9 adding other Imperial gear, this oversight has been corrected. (Bug #12041)
If the weapons can now be crafted, the Studded Imperial Armor (00013ed8), Imperial Helmet (0009610d), and Imperial Officer's Helmet (000136cf) should be craftable too. This would be in line with the USSEP also adding a crafting recipe for the second Scaled Armor variant. And the player being able to forge Iron Banded Armor.
Alternatively the crafting recipes for the sword and bow could be removed, since the possibility exist that Bethesda did not create the recipes for these weaker materials on purpose.