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Operations on the Set of Scalar and Matrix-Valued Quiddity Sequences.

Authors :
Felipe, Raúl
Source :
Journal of Geometric Analysis; Jun2024, Vol. 34 Issue 6, p1-55, 55p
Publication Year :
2024

Abstract

Our purpose in this paper is, in the first place, to endow the space of quiddity sequences corresponding to the usual frieze patterns with a SET operad structure, and second to introduce and study M -quiddity sequences where M is a monodromy block matrix of order two. Also, we examine related topics such as the possibility of defining matrix-valued friezes patterns and noncommutative signed Chebyshev polynomials. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10506926
Volume :
34
Issue :
6
Database :
Complementary Index
Journal :
Journal of Geometric Analysis
Publication Type :
Academic Journal
Accession number :
176960910
Full Text :
https://doi.org/10.1007/s12220-024-01611-y