InformationTechnologyInfrastructureLibrary is better known as ITIL, or IT Infrastruce Library.
It is a UK originated standard being accepted into the Americas in this 21st century.
ITIL is focussed on decisions surrounding operations and InformationTechnologyServiceManagement.
See:
There's a certification and a lapel pin! How funny. (See WikiPedia article above.)
How does this relate to CapabilityMaturityModel? They seem awfully similar to me, albeit specialized by industry: CMM for software development companies, and ITIL for service provider companies.
MicrosoftSolutionsFramework has its origins in ITIL. See http://www.itilsurvival.com/ITILMicrosoft.html for more introductory information.