Flight Crew Air Transport Pilot (ATP)
Flight Crew Type 2164
Aircraft Equipment Problem Less Severe
Flight Crew FLC complied w / Automation / Advisory; Flight Crew Landed As Precaution; Flight Crew Diverted
Aircraft
While in the climb out at approximately FL284; the autopilot disengaged while simultaneously the Captain's PFD and MFD lost all indications. I transferred control of the aircraft to the First Officer (FO). We stopped the climb and descended out of RVSM. The amber IRS fault light along with the Master Caution IRS lights had illuminated. I ran the corresponding QRH checklist for the IRS fault. We operated with the IRS selector switch in BOTH ON RIGHT. I established a radio patch with Dispatch and a subsequent conference call with Maintenance. We discussed what had happened and the possibility of diverting into [a nearby alternate]. After seeing the TAF called for broken clouds I ruled that out. As we progressed to the east we could see [another possible alternate]. After discussing the situation with FO; we decided that our best course was to divert into [that airport]. With the loss of redundant attitude; airspeed; and altitude indications; the continuation did not seem like the best plan of action and diverted.
B737 Captain reported diverting to an alternate airport after noting the loss of the L IRS system.