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∗-Orderings and ∗-valuations on algebras of finite Gelfand–Kirillov dimension

✍ Scribed by Murray Marshall

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
198 KB
Volume
179
Category
Article
ISSN
0022-4049

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✦ Synopsis

The paper considers the real * -spectrum of a ÿnitely generated algebra with involution over C of ÿnite Gelfand-Kirillov dimension. It is shown that for such an algebra the stability indices associated to the real * -spectrum are bounded by the Gelfand-Kirillov dimension, as in the commutative case, and results on minimal generation of constructible sets in the real * -spectrum carry over. Birkho -Witt algebras of ÿnite dimensional Lie algebras with involution are examples of such algebras. The real * -spectrum of a Brikho -Witt algebra is examined in detail in the 2-dimensional case.

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