Nilpotent schemes and group-like schemes

Nilpotent schemes and group-like schemes

We give a definition of nilpotent association schemes as a generalization of nilpotent groups and investigate their basic properties. Moreover, for a group-like scheme, we characterize the nilpotency by its character products.

Nilpotent slices and Hilbert schemes

We construct embeddings Yn,τ → Hilb (Στ ) for each of the classical Lie algebras sp2m(C), so2m(C), and so2m+1(C). The space Yn,τ is the fiber over a point τ ∈ h/W of the restriction of the adjoint quotient map χ : g → h/W to a suitably chosen transverse slice of a nilpotent orbit. These embeddings were discovered for sl2m(C) by Ciprian Manolescu. They are related to the symplectic link homology...

On the characters of nilpotent association schemes

In this paper we give some properties of the character values of nilpotent commutative association schemes. As a main result, a class of commutative schurian association schemes is given.

Group Schemes

Entropy of Hybrid Censoring Schemes

A hybrid censoring scheme is a mixture of type I and type II censoring schemes. When $n$ items are placed on a life test, the experiment terminates under type I or type II hybrid censoring scheme if either a pre-fixed censoring time T or the rth (1<=r<=n&nbsp;is fixed) failure is first or later observed, respectively. In this paper, we investigate the decomposition of entropy in both hybrid cen...