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Geometric representation theory of restricted lie algebras
Map building lie algebra and classical lie algebras tectonic change lines etc
2014/12/29
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted rep...
The paper develops a linearized notion of Lusztig's character sheaves (on Lie algebras rather then on groups), which contains Lusztig's class of character sheaves on Lie algebras. The theory is indepe...
Singular localization and intertwining functors for reductive Lie algebras in prime characteristic
Lie algebra semisimple algebra group Springer fiber localization module is fixed
2014/12/25
In [BMR] we observed that, on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of finite characteristic with a given (generalized) {\em ...
Lie Markov Models
phylogenetics Lie algebras Lie groups representation theory symmetry Markov chains
2011/6/21
Recent work has discussed the importance of multiplicative closure for the Markov mod-
els used in phylogenetics. For continuous-time Markov chains, a sufficient condition for
multiplicative closure...
Admissible translations of the Brownian motion on a Lie group
Admissible translations the Brownian motion on a Lie group
2009/9/23
Admissible translations of the Brownian motion on a Lie group。
Central limit theorems on nilpotent Lie groups
Central limit theorems nilpotent Lie groups
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 ...
Laws of large numbers on simply connected step 2-nilpotent Lie groups
Laws of large numbers step 2-nilpotent Lie groups
2009/9/22
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...
On normalizers and centralizers of compact Lie groups. Applications to structural probability theory
Exponent commuting exponent operator-semistable law operator-stable law
2009/9/21
The concept of operator stability on finitedimensional
vector spaces V was generalized in the past into several directions. In
particular, operator-semistable and self-decomposable laws and self-
-...