5 papers
math.RA2005
On complete Lie algebras
BinYong Hsie
In this paper, the author gives two methods to construct complete Lie algebras. Both methods show that the derivation algebras of some Lie algebras are complete.
math.NT2005
Multiplicities of representations in spaces of modular forms
BinYong Hsie
This paper shows that for a given irreducible representation of , the two functions dim() and dim() of are almost linear functions.
math.AG2005
Toric Rigid Spaces
BinYong Hsie, ZhiBin Liang
This paper gives a method to construct rigid spaces, which is similar to the method used to construct toric schemes.
math.RT2005
Mackey Theory for -adic Lie groups
BinYong Hsie
This paper gives a -adic analogue of the Mackey theory, which relates representations of a group of type to systems of imprimitivity.
math.RA2005
Full graph and complete Lie algebra
BinYong Hsie
We introduce a concept, -complete, and show that a Lie algebra is -complete if and only if its full graph is complete.