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Fundamental Theorem of Affine Geometry for Lie Algebras

✍ Scribed by A. Lashkhi

Book ID
120739287
Publisher
Springer US
Year
2013
Tongue
English
Weight
130 KB
Volume
191
Category
Article
ISSN
1573-8795

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Presented here is a construction of certain bases of basic representations for classical affine Lie algebras. The starting point is a ‫-ήšβ€¬grading α’„ s α’„ q α’„ q α’„ y1 0 1 of a classical Lie algebra α’„ and the corresponding decomposition α’„ s α’„ q α’„ q ˜˜ỹ 1 0 α’„ of the affine Lie algebra α’„. By using a genera