Abstract We prove Schur–Weyl duality between the Brauer algebra 𝔅 n (m) and the
orthogonal group O m (K) over an arbitrary infinite field K of odd characteristic. If m is even …

In this paper we prove the Schur-Weyl duality between the symplectic group and the Brauer
algebra over an arbitrary infinite field $ K $. We show that the natural homomorphism from …

Let k be a field of prime characteristic p and E an n-dimensional vector space. We
completely describe the tensor space E⊗ r viewed as a module for the Brauer algebra B k (r …

New versions of Schur–Weyl duality Page 1 New versions of Schur–Weyl duality Stephen
Doty Abstract. After reviewing classical Schur–Weyl duality, we present some other contexts …

We study the representation theory of the rook-Brauer algebra, which has a of Brauer
diagrams that allow for the possibility of missing edges. The Brauer, Temperley–Lieb …

If k is a field, the projective Schur group PS (k) of k is the subgroup of the Brauer group Br (k)
consisting of those classes which contain a projective Schur algebra, ie, a homomorphic …

Let m, n∈ ℕ. In this paper we study the right permutation action of the symmetric group S_2n
on the set of all the Brauer n-diagrams. A new basis for the free ℤ-module B_n spanned by …

First we study Zariski-closed subgroups of general linear groups over an infinite field with
the property that their polynomial representation theory is graded in a natural way. There are …

Let F be the field of complex numbers and V= V0⊕ V1 a vector space over F with dimV0=
dimV1. The symmetric group acts on V⊗ n by the sign-permutation action [Berele, Regev …

In this thesis, we study the representation theory of the symmetric groups S n, their Sylow p-
subgroups P n and related algebras. For all primes p and natural numbers n, we determine …