On Gelfand-Kirillov Transcendence Degree

Zhang, James

doi:10.1090/S0002-9947-96-01702-3

On Gelfand-Kirillov Transcendence Degree
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by James J. Zhang PDF

Trans. Amer. Math. Soc. 348 (1996), 2867-2899 Request permission

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.

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