# L12: SHILOV BOUNDARY VOLUMES — WYLER GEOMETRIC PROOF

**Category:** library_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

SHILOV BOUNDARY VOLUMES — WYLER GEOMETRIC PROOF
Compute the volumes of the symmetric spaces appearing in the Wyler formula: Vol(CP2), Vol(S5), Vol(S4). Use the standard formulae from Riemannian geometry. Show that the ratio reproduces the (pi^5/2^4*5!) factor. Verify the G2(2) Haar measure normalization gives the 9/8pi^4 prefactor. #SuperGrokTOE #ShilovVolumes #Wyler