The center of a quantized enveloping algebra at an even root of unity

Abstract

We will give an explicit description of the center of the De Concini--Kac type specialization of a quantized enveloping algebra at an even root of unity. The case of an odd root of unity was already dealt with by De Concini--Kac--Procesi. Our description in the even case is similar to but a little more complicated than the odd case.