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Extension of a Theorem of Kostant for Affine Algebras

✍ Scribed by Jacob Greenstein

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
223 KB
Volume
199
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let α’„ be a semisimple Lie algebra over an algebraically closed field of Γ„ 4 characteristic zero with a root basis s ␣ , . . . , ␣ , root system ⌬, and

Cartan subalgebra α’…. One may associate to any non-empty subset Ј n a parabolic subalgebra ᒍ , which is defined by the following root space

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