4 papers
A note on irreducible representations of symmetric groups and Sergeev superalgebras
Minjia Chen, Jinkui Wan, Hongbo Zhao
We provide an explicit construction and a closed dimension formula in terms of hook lengths for the irreducible representations for the symmetric groups and the Se…
Lie Conformal Algebra and Dual Pair Type Realizations of Some Moonshine Type VOAs, and Calculations of the Correlation Functions
Hongbo Zhao
In this paper we use Lie conformal algebras to realize some moonshine type VOAs, whose Greiss algebras are Jordan algebras. On the other hand, we consider some free fields which re…
On Fixed Points of a Map Defined by Alain Connes
Hongbo Zhao
In this paper we study certain analogues of the map defined by Alain Connes, which follows an idea of Atiyah in trying to simplify the proof of Feit-Thompson theorem. It turns out…
On VOAs Associated to Jordan Algebras of Type
Hongbo Zhao
In this article, we construct certain universal VOAs whose Greiss algebras are type C Jordan algebras. We also prove the corresponding simplicity result.