Decomposition Numbers of SL3(pn) and SU3(pn)

Cover-Decomposition and Polychromatic Numbers

A colouring of a hypergraph’s vertices is polychromatic if every hyperedge contains at least one vertex of each colour; the polychromatic number is the maximum number of colours in such a colouring. Its dual, the cover-decomposition number, is the maximum number of disjoint hyperedgecovers. In geometric hypergraphs, there is extensive work on lower-bounding these numbers in terms of their trivi...

Path and cycle decomposition numbers

Decomposition numbers and canonical bases

We obtain some simple relations between decomposition numbers of quantized Schur algebras at an nth root of unity (over a field of characteristic 0). These relations imply that every decomposition number for such an algebra occurs as a decomposition number for some Hecke algebra of type A. We prove similar relations between coefficients of the canonical basis of the q-deformed Fock space repres...

lexical decomposition awareness and its effect on delayed receptive and productive recognition and recall of vocabulary knowledge of morphologically complex english words: an iranian efl context

abstract lexical knowledge of complex english words is an important part of language skills and crucial for fluent language use (nation, 2001). the present study, thus, was an attempt to assess the role of morphological decomposition awareness as a vocabulary learning strategy on learners’ productive and receptive recall and recognition of complex english words. so 90 sophomores (female and ma...

PARITIES OF v-DECOMPOSITION NUMBERS

We prove that the v-decomposition number dλμ(v) arising from the canonical basis of the Fock space representation of Uv(ŝle) is an even or odd polynomial according to whether the partitions λ and μ have the same relative e-sign (or e-parity) or not.