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Actions of Algebraic Groups on the Spectrum of Rational Ideals

โœ Scribed by Nikolaus Vonessen

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
214 KB
Volume
182
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let k be an algebraically closed field and G a linear algebraic group over k acting rationally on a k-algebra V. Generalizing work of Moeglin and Rentschler in characteristic zero, we study the action of G on the spectrum of rational ideals of V. The main result is the following. Suppose that V is semiprime left Goldie. Let L be a G-stable commutative semisimple subalgebra of the total ring of fractions ลฝ .

ลฝ . functions on GrH such that Q GrH is purely inseparable over L . This has applications to the closure of the orbit of a rational ideal.

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