Inuyasha's red garments are made of the legendary "Fire-Rat (Hinezumi) Fur" which is said to be fireproof. The historical reference can be found in the ancient Japanese folk tale "Taketori Monogatari", or "The Bamboo Cutter's Tale". Hakama (Pants)-Inuyasha's hakama, quite likely the Sashinuki style. Hakama of that era were often made leaving the crotch seam hemmed, but unclosed.