Crystal Rules for $(\ell,0)$-JM Partitions

Crystal Rules for (l,0)-JM Partitions

Vazirani and the author [Electron. J. Combin., 15 (1) (2008), R130] gave a new interpretation of what we called l-partitions, also known as (l, 0)-Carter partitions. The primary interpretation of such a partition λ is that it corresponds to a Specht module S which remains irreducible over the finite Hecke algebra Hn(q) when q is specialized to a primitive l root of unity. To accomplish this we ...

Jm Partitions and a Ladder Based Model for the Basic Crystal

In [1], Vazirani and I gave a new interpretation of what we called ℓ-partitions, also known as (ℓ, 0)-Carter partitions. The primary interpretation of such a partition λ is that it corresponds to a Specht module S λ which remains irreducible over the finite Hecke algebra Hn(q) when we specialize q to a primitive ℓ th root of unity. In [1], we relied heavily on the description of such a partitio...

Iasella JM

Purpose: To compare the post-extraction dimensional changes following extraction alone or extraction plus ridge preservation with an intrasocket mineralized freeze-dried bone allograft and a collagen membrane. 2 purpose is to determine whether there are significant differences between 2 procedures histologically.3 one is that a 4-monts and 6month implant placement time was evaluated to determin...

A Study on Associated Rules and Fuzzy Partitions for Classification

The amount of data for decision making has increased tremendously in the age of the digital economy. Decision makers who fail to proficiently manipulate the data produced may make incorrect decisions and therefore harm their business. Thus, the task of extracting and classifying the useful information efficiently and effectively from huge amounts of computational data is of special importance. ...

J un 2 00 9 Combinatorics of ( l , 0 ) - JM partitions , l - cores , the ladder crystal and the finite Hecke algebra