In this article we begin an investigation of the conjugacy classes of Borel subalgebras together with Verma modules induced from ''standard'' Borel subalgebras of a toroidal Lie algebra ᒑ in two variables. We define, for each highest weight , a category O O of representations of ᒑ that contain these
✦ LIBER ✦
Some categories of modules for toroidal Lie algebras
✍ Scribed by Guo, Hongyan; Tan, Shaobin; Wang, Qing
- Book ID
- 122265946
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 323 KB
- Volume
- 401
- Category
- Article
- ISSN
- 0021-8693
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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