Abstract
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 $SL_2$ with coefficients in Weyl modules.
Citation
Steven Benzel. Scott Conner. Nham Ngo. Khang Pham. "RESTRICTED PARTITIONS AND $SL_2$-COHOMOLOGY." Albanian J. Math. 17 (2) 93 - 103, 2023. https://doi.org/10.51286/albjm/1699371981
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