## Search

Now showing items 1-4 of 4

#### Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six

(Elsevier, 2013-01-08)

In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the graded components of its Orlik-Solomon algebra as a sum of characters induced from ...

#### On the quiver presentation of the descent algebra of the symmetric group

(Elsevier, 2013-03-18)

We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ...

#### On reflection subgroups of finite Coxeter groups

(Taylor & Francis, 2013-06-14)

Let W be a finite Coxeter group. We classify the reflection subgroups of W up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup R of W the conjugacy class of its ...

#### On the Torus degeneration of the genus two partition function

(World Scientific Publishing, 2013-07-16)

We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down ...