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Irreducible representations of modular Lie algebras

✍ Scribed by A. N. Grishkov


Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
317 KB
Volume
30
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES


Irreducible Representations for Toroidal
✍ Stephen Berman; Yuly Billig 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 284 KB

In this work a large number of irreducible representations with finite dimensional weight spaces are constructed for some toroidal Lie algebras. To accomplish this we develop a general theory of ‫ޚ‬ n -graded Lie algebras with polynomial multiplication. We construct modules by the standard inducing

Computing dimensions of irreducible repr
✍ A.K. Bose 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 273 KB

We present a combinatorial algorithm for computing dimensions of irreducible representations of all nine types of simple Lie algebras over complexes. We implemented it on a programmable desk calculator. In conclusion some physical applications are discussed. ## Various formulas have been given [1-3