Named after James Lynah, Class of 1905, who was the director of Cornell athletics from 1935 to 1943, it is home to the Big Red men's and women's ice hockey teams.

[1] Lynah has been home to hockey greats such as Ken Dryden, Joe Nieuwendyk, Matt Moulson, Digit Murphy, and Olympic Gold Medalists Rebecca Johnston and Brianne Jenner.

The building is a quonset-shaped structure covered with multi-colored (orange, tan, black, and brown) brick wall cladding set in a common bond pattern.

Projecting from the facade of the structure is a one-story rectangular wing flanked on either side by two vertical appendages, which have multi-paned colored glass windows.

[2] It was constructed for $500,000 with a donation from Walter S. Carpenter Jr., chairman and former president of DuPont (and Cornell class of 1910)[3] whose gift came with the stipulation that he did not want his name on the building.

The facility was designed by Van Storch, Evans, and Burkavage of Waverly, PA and constructed by Streeter Associates of Elmira, NY.

In 2005, despite efforts to improve the process over previous years, Cornell was criticized[11] for creating chaos when the Athletic Department announced where students had to go for tickets.