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Combinatorial description of the Fock representation of the affine lie algebra go(∞)

✍ Scribed by P. D. Jarvis; C. M. Yung


Publisher
Springer
Year
1994
Tongue
English
Weight
302 KB
Volume
30
Category
Article
ISSN
0377-9017

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The Support of an Irreducible Lie Algebr
✍ Ivan Penkov; Vera Serganova 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 194 KB

We present an explicit description of the ᒅ-support supp M of any irreducible ᒅ-locally finite ᒄ-module M, where ᒄ is any finite-dimensional Lie algebra and ᒅ is an arbitrary nilpotent Lie subalgebra of ᒄ. If ᒅ contains a Cartan subalgebra of the semi-simple part of ᒄ, we reformulate the description