Module Structure on Invariant Jacobians

In this paper we show that a conjecture of Stephen Yau on highest weights of invariant Jacobians is true for arbitrary connected semisimple algebraic groups.Comment: 3 page

Sign changes of Kloosterman sums with almost prime moduli

We prove that the Kloosterman sum $S(1,1;c)$ can change sign infinitely often as $c$ runs over squarefree moduli with at most 10 prime factors, which improves the previous results of E. Fouvry and Ph. Michel, J. Sivak-Fischler and K. Matom\"{a}ki, replacing 10 by 23, 18 and 15, respectively. The method combines the Selberg sieve, equidistribution of Kloosterman sums and spectral theory of automorphic forms.Comment: 18 pages, to appear in Monatshefte f\"ur Mathemati

A New Proof for Classification of Irreducible Modules of a Hecke Algebra of Type An A_n

In this paper we give a new proof for the classification of irreducible modules of an affine Hecke algebra of type $A_n$, which was obtained by G. E. Murphy in 1995.Comment: 9 page