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Gelfand-Kirillov dimension in Jordan Algebras


Author: C. Martinez
Journal: Trans. Amer. Math. Soc. 348 (1996), 119-126
MSC (1991): Primary 17C50, 17C99
DOI: https://doi.org/10.1090/S0002-9947-96-01528-0
MathSciNet review: 1329537
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Abstract: In this paper we study Gelfand-Kirillov dimension in Jordan algebras. In particular we will relate Gelfand-Kirillov (GK for short) dimensions of a special Jordan algebra and its associative enveloping algebra and also the GK dimension of a Jordan algebra and the GK dimension of its universal multiplicative enveloping algebra.


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Additional Information

C. Martinez
Affiliation: Department of Mathematics, University of Oviedo, 33.007 Oviedo, Spain
Email: chelo@pinon.ccu.uniovi.es

DOI: https://doi.org/10.1090/S0002-9947-96-01528-0
Keywords: Jordan algebra, Gelfand-Kirillov dimension
Received by editor(s): July 1, 1994
Additional Notes: Partially supported by DGICYT, Ps. 90-0129
Article copyright: © Copyright 1996 American Mathematical Society