Multiple generalized cluster structures on $D(\text{GL}_n)$

التفاصيل البيبلوغرافية
العنوان: Multiple generalized cluster structures on $D(\text{GL}_n)$
المؤلفون: Voloshyn, Dmitriy
المصدر: Forum of Mathematics, Sigma 11(46) (2023), 1-78
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Representation Theory, Mathematics - Commutative Algebra, Mathematics - Quantum Algebra, 13F60, 53D17
الوصف: We produce a large class of generalized cluster structures on the Drinfeld double of $\text{GL}_n$ that are compatible with Poisson brackets given by Belavin-Drinfeld classification. The resulting construction is compatible with the previous results on cluster structures on $\text{GL}_n$.
Comment: 84 pages, 30 figures
نوع الوثيقة: Working Paper
DOI: 10.1017/fms.2023.44
URL الوصول: http://arxiv.org/abs/2111.01771
رقم الأكسشن: edsarx.2111.01771
قاعدة البيانات: arXiv