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We study the Lusztig-Vogan bijection for the case of a local system. We compute the bijection explicitly in type A for a local system and then show that the dominant weights obtained for different loc...
Normality of nilpotent varieties in E-6     Nilpotent orbit  function  the orbit of nilpotent E6       font style='font-size:12px;'> 2014/12/29
We determine which nilpotent orbits in E6 have closures which are normal varieties and which do not. At the same time we are able to verify a conjecture in [E. Sommers, Comm. Math. Univ. Sancti Pauli ...
Normality of very even nilpotent varieties in D-2l     Meet the nilpotent orbit closures  natural number       font style='font-size:12px;'> 2014/12/29
For the classical groups, Kraft and Procesi have resolved the question of which nilpotent orbits have closures that are normal and which do not, with the exception of the very even orbits in D2l that ...
PIECES OF NILPOTENT CONES FOR CLASSICAL GROUPS     Nilpotent cone orbit  nilpotent cone  the number of dollars       font style='font-size:12px;'> 2014/12/24
We compare orbits in the nilpotent cone of type $B_n$, that of type $C_n$, and Kato's exotic nilpotent cone. We prove that the number of $\F_q$-points in each nilpotent orbit of type $B_n$ or $C_n$ eq...
Central limit theorems on nilpotent Lie groups      Central limit theorems  nilpotent Lie groups        font style='font-size:12px;'> 2009/9/23
The Lindeberg theorem is derived on stratilied nilpotent Lie groups; that is a normal convergence theorem for a triangular system of probability measures in case of bounded (homogemous) moments of ...
The Strong Law of Large Numbers due to Marcinkiewicz and Zygmund is carried over to simply connected step 2-nilpotent Lie groups. Moreover, for such groups, we prove analogues of the classical theo...

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