On Gelfand-Kirillov Transcendence Degree

Author:

Zhang James

Abstract

We study some basic properties of the Gelfand-Kirillov transcendence degree and compute the transcendence degree of various infinite-dimensional division algebras including quotient division algebras of quantized algebras related to quantum groups, 3-dimensional Artin-Schelter regular algebras and the 4-dimensional Sklyanin algebra.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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