can a person retire from the State and draw their LASERS benefits and be re-employed at LSU without a reduction in their LASER benefit

The answer is dependent upon which retirement system covers the new position. If it is covered by LASERS, the Rehired Retiree chapter of the Member’s Guide to Retirement (found on the website) covers all questions. If not covered by LASERS, then you would have to ask the covering system about their options.

Depending on the position. Some of LSU are with LASERS and some are with TRSL.