## Osaka Journal of Mathematics

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

Toshiyuki Tanisaki

#### 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.

#### Article information

Source
Osaka J. Math., Volume 53, Number 1 (2016), 47-83.

Dates
First available in Project Euclid: 19 February 2016

https://projecteuclid.org/euclid.ojm/1455892626

Mathematical Reviews number (MathSciNet)
MR3466826

Zentralblatt MATH identifier
06546528

#### Citation

Tanisaki, Toshiyuki. The center of a quantized enveloping algebra at an even root of unity. Osaka J. Math. 53 (2016), no. 1, 47--83. https://projecteuclid.org/euclid.ojm/1455892626

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