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We introduce basic characteristic classes and numbers as new invariants for Riemannian foliations. If the ambient Riemannian manifold M is simply connected (or more generally if the foliation is a tra...
Separating invariants for the basic G_a-actions
Separating invariants the basic G_a-actions
2010/11/15
We explicitly construct a finite set of separating invariants for the basic $\Ga$-actions. These are the finite dimensional indecomposable rational linear representations of the additive group $\Ga$ ...
q-probability: I. Basic discrete distributions
q-probability I. Basic discrete distributions
2010/11/1
For basic discrete probability distributions, $-$ Bernoulli, Pascal, Poisson, hypergeometric, contagious, and uniform, $-$ $q$-analogs are proposed.