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A Reduction Theorem for Highest Weight Modules over Toroidal Lie Algebras

✍ Scribed by Ivan Dimitrov; Vyacheslav Futorny; Ivan Penkov


Publisher
Springer
Year
2004
Tongue
English
Weight
257 KB
Volume
250
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES


Borel Subalgebras and Categories of High
✍ B Cox; V Futorny πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 220 KB

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 α’‘ in two variables. We define, for each highest weight , a category O O of representations of α’‘ that contain these

A cancellation theorem for projective mo
✍ S.M. Bhatwadekar πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 154 KB

Let k be a C1-ΓΏeld of characteristic zero. Let A be an a ne algebra of dimension d ΒΏ 2 over k. In this set up, Suslin proved that the free module A d is cancellative (in other words, stably free A-modules of rank d are free). In this note we show that, in fact, all ΓΏnitely generated projective A-mod