Report
Primitive ideals of $\operatorname{U}(\frak{sl}(\infty))$
| العنوان: | Primitive ideals of $\operatorname{U}(\frak{sl}(\infty))$ |
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| المؤلفون: | Penkov, Ivan, Petukhov, Alexey |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Rings and Algebras, 17B10, 17B35, 17B65 |
| الوصف: | We provide an explicit description of the primitive ideals of the enveloping algebra $\operatorname{U}(\frak{sl}(\infty))$ of the infinite-dimensional finitary Lie algebra $\frak{sl}(\infty)$ over an uncountable algebraically closed field of characteristic 0. Our main new result is that any primitive ideal of $\operatorname{U}(\frak{sl}(\infty))$ is integrable. A classification of integrable primitive ideals of $\operatorname{U}(\frak{sl}(\infty))$ has been known previously, and relies on the pioneering work of A. Zhilinskii. Comment: Theorem 3.2 is replaced by Appendix in the last version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/blms.12149 |
| URL الوصول: | http://arxiv.org/abs/1608.08934 |
| رقم الانضمام: | edsarx.1608.08934 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/blms.12149 |
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