On Gelfand-Kirillov Transcendence Degree
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- by James J. Zhang PDF
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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.References
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Additional Information
- James J. Zhang
- Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
- MR Author ID: 314509
- Email: Zhang@math.washington.edu
- Received by editor(s): May 9, 1995
- Additional Notes: This research was supported in part by the NSF
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 2867-2899
- MSC (1991): Primary 16P90, 12E15, 16K40, 16S80
- DOI: https://doi.org/10.1090/S0002-9947-96-01702-3
- MathSciNet review: 1370657