Osaka Journal of Mathematics

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

Toshiyuki Tanisaki

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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

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1455892626

Mathematical Reviews number (MathSciNet)
MR3466826

Zentralblatt MATH identifier
06546528

Subjects
Primary: 20G42: Quantum groups (quantized function algebras) and their representations [See also 16T20, 17B37, 81R50] 17B37: Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23]

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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