The Homology of "k-Equal" Manifolds and Related Partition Lattices

THE HOMOLOGY REPRESENTATIONS OF THE k-EQUAL PARTITION LATTICE

We determine the character of the action of the symmetric group on the homology of the induced subposet of the lattice of partitions of the set {1, 2, . . . , n} obtained by restricting block sizes to the set {1, k, k + 1, . . . }. A plethystic formula for the generating function of the Frobenius characteristic of the representation is given. We combine techniques from the theory of nonpure she...

THE HOMOLOGY REPRESENTATIONS OF THEk - EQUAL PARTITION

the evaluation of language related engagment and task related engagment with the purpose of investigating the effect of metatalk and task typology

abstract while task-based instruction is considered as the most effective way to learn a language in the related literature, it is oversimplified on various grounds. different variables may affect how students are engaged with not only the language but also with the task itself. the present study was conducted to investigate language and task related engagement on the basis of the task typolog...

Geometrically Constructed Bases for Homology of Non-Crossing Partition Lattices

For any finite, real reflection group W , we construct a geometric basis for the homology of the corresponding non-crossing partition lattice. We relate this to the basis for the homology of the corresponding intersection lattice introduced by Björner and Wachs in [4] using a general construction of a generic affine hyperplane for the central hyperplane arrangement defined by W .

the relationship between field-related cognitive styles and global reading comprehension of hypertext

this study investigates the relationship between field-related cognitive styles and global reading comprehension of hypertext. technically, field dependency is prevailing dominance of field on perception of parts, while global comprehension is skim-like reading to grasp the general content. in this research project, 60 senior and junior students of arak university majoring in english literature...