621 research outputs found
Terwilliger algebras of generalized wreath products of association schemes
The generalized wreath product of association schemes was introduced by
R.~A.~Bailey in European Journal of Combinatorics 27 (2006) 428--435. It is
known as a generalization of both wreath and direct products of association
schemes. In this paper, we discuss the Terwilliger algebra of the generalized
wreath product of commutative association schemes. I will describe its
structure and its central primitive idempotents in terms of the parameters of
each factors and their central primitive idempotents.Comment: 17 page
Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity
In this article, we get properties for singular (dual) Nakano semi-positivity
and obtain singular type vanishing theorem involving -subsheaves on weakly
pseudoconvex manifolds by -estimates and -type Dolbeault isomorphism.
As applications, the Fujita Conjecture type theorem with singular Hermitian
metrics is presented.Comment: 43page
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