2023/03/08 by Steven Benzel, Scott E. Conner, Benzel, Steven +5
Mathematics · #05A17 #11P81 #20G10 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2303.04531
openalex publication_date 2023/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is twofold. First, we study the number of partitions of a positive integer m into at most n parts in a given set A. We prove that such a number is bounded by the n-th Fibonacci number F(n) for any m and some family of sets A including sets of powers of an integer. Then, in the second part of the paper, we provide new results in bounding the cohomology of the simple algebraic group SL2 with coefficients in Weyl modules.