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Σ-Bounded algebraic systems and universal functions. I

✍ Scribed by A. N. Khisamiev


Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
240 KB
Volume
51
Category
Article
ISSN
0037-4466

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The universal Lie algebra associatedto a
✍ Amédée Debiard; Bernard Gaveau 📂 Article 📅 2000 🏛 Elsevier Science 🌐 French ⚖ 200 KB

To any classical root system, one can associate a universal infinite dimensional Lie algebra of second order differential operators. In this work, we study this Lie algebra for rank 3 root system and show that it is semi simple, we show that it is related to the Eulerian polynomials.