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Deforming the Lie Algebra of Vector Fields on $S^1$ Inside the Poisson Algebra on ˙T*S1

✍ Scribed by V. Ovsienko; C. Roger


Publisher
Springer
Year
1998
Tongue
English
Weight
154 KB
Volume
198
Category
Article
ISSN
0010-3616

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On the Orbit Method for the Lie Algebra
✍ Rosane Ushirobira 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 326 KB

Let ᒄ be the Lie algebra of vector fields on an affine smooth curve ⌺. Our goal is to establish an orbit method for ᒄ. Since ᒄ is infinite-dimensional, we face some technical problems. Without having groups acting on ᒄ, we try nevertheless to define the notion of ''orbits.'' So, we focus our attenti