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- Title
RESTRICTED PARTITIONS AND SL<sub>2</sub>-COHOMOLOGY.
- Authors
BENZEL, STEVEN; CONNER, SCOTT; NGO, NHAM; PHAM, KHANG
- 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 SL2 with coefficients in Weyl modules.
- Subjects
COHOMOLOGY theory; NUMBER theory; PARTITIONS (Mathematics); INTEGERS
- Publication
Albanian Journal of Mathematics, 2023, Vol 17, Issue 2, p93
- ISSN
1930-1235
- Publication type
Article