Linear Bounds for Cohomology of Algebraic Groups
In this note, we establish an explicit upper bound for the dimension of the rational cohomology for a simple algebraic group over an algebraically closed field of prime characteristic.
math.GR↗
arXiv subjects
Nham Ngo
Publications and source records attributed to Nham Ngo.
Restricted Partitions and $SL_2$ Cohomology
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.
math.RT↗