تقرير
Tensor products and support varieties for some noncocommutative Hopf algebras
| العنوان: | Tensor products and support varieties for some noncocommutative Hopf algebras |
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| المؤلفون: | Plavnik, Julia Yael, Witherspoon, Sarah |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Representation Theory |
| الوصف: | We explore questions of projectivity and tensor products of modules for finite dimensional Hopf algebras. We construct many classes of examples in which tensor powers of nonprojective modules are projective and tensor products of modules in one order are projective but in the other order are not. Our examples are smash coproducts with duals of group algebras, some having algebra and coalgebra structures twisted by a cocycle. We develop a theory of support varieties for these Hopf algebras to use as a tool in our investigations. Comment: We have condensed the preliminaries and we have corrected some typos. 20 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1611.10285 |
| رقم الأكسشن: | edsarx.1611.10285 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |