8 citations · 8 across the 2 of their papers we have counts for
5 papers
Critical groups for Hopf algebra modules
Darij Grinberg, Jia Huang, Victor Reiner
This paper considers an invariant of modules over a finite-dimensional Hopf algebra, called the critical group. This generalizes the critical groups of complex finite group represe…
Moments for generalizations of a coin flip game
Jia Huang
We derive a recursive formula for the moments of the number of flips using a possibly biased coin to produce a prescribed finite binary string when is either a run of heads…
Dimensions of compositions modulo a prime
Jia Huang
The (ordinary) representation theory of the symmetric group is fascinating and has rich connections to combinatorics, including the Frobenius correspondence to the self-dual graded…
A coin flip game and generalizations of Fibonacci numbers
Jia Huang
We study a game in which one keeps flipping a coin until a given finite string of heads and tails occurs. We find the expected number of coin flips to end the game when the ending…
Even and odd compositions with restricted parts
Jia Huang
A result of Legendre asserts that the difference between the numbers of (length) even and odd partitions of into distinct parts is , , or ; this also follows from Eul…