Operations on the set of scalar and matrix-valued quiddity sequences

التفاصيل البيبلوغرافية
العنوان: Operations on the set of scalar and matrix-valued quiddity sequences
المؤلفون: Felipe, Raúl
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 39A06, 15A24
الوصف: Our purpose with this paper is, in first place, to recast the space of quiddity sequences corresponding to usual frieze patterns as a different type of SET operad, and second to introduce and study $\mathfrak{M}$-quiddity sequences where $\mathfrak{M}$ is a monodromy block matrix of order two. Also, we examine some related topic as are the possibility of to define matrix-valued friezes patterns and noncommutative signed Chebyshev polynomials.
Comment: 33 pages, 17 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.11443
رقم الأكسشن: edsarx.2310.11443
قاعدة البيانات: arXiv