Graded decomposition numbers for the blob algebra

The Blob Algebra and the Periodic Temperley-lieb Algebra

We determine the structure of two variations on the Temperley-Lieb algebra, both used for dealing with special kinds of boundary conditions in statistical mechanics models. The first is a new algebra, the ‘blob’ algebra (the reason for the name will become obvious shortly!). We determine both the generic and all the exceptional structures for this two parameter algebra. The second is the period...

Differential Graded Algebra

Differential Graded Algebra

ON THE DECOMPOSITION NUMBERS OF THE HECKE ALGEBRA OF TYPE Dn WHEN n IS EVEN

Let n ≥ 4 be an even integer. Let K be a field with charK 6= 2 and q an invertible element in K such that Qn−1 i=1 (1+q ) 6= 0. In this paper, we study the decomposition numbers over K of the Iwahori–Hecke algebra Hq(Dn) of type Dn. We obtain some equalities which relate its decomposition numbers with certain Schur elements and the decomposition numbers of various Iwahori–Hecke algebras of type...

Decomposition numbers for symmetric groups

Where to find decomposition matrices? Try www.math.rwth-aachen.de/∼MOC In hard copy, [6] has several (at the end) for small primes. For p = 2, a paper by Juergen Mueller(Aachen) [7], for an electronic version try his homepage. General background can be found in [6]. Column removal: Due to G.D. James, sometime after '76. Just now I cannot find the precise reference. However, a generalization of ...