The classical case of Schur–Weyl duality states that the actions of the group algebras of GLn
and Sd on the dth-tensor power of a free module of finite rank centralize each other. We …

New versions of Schur-Weyl duality Page 76 New versions of Schur–Weyl duality Stephen
Doty Abstract. After reviewing classical Schur–Weyl duality, we present some other contexts …

Let V be a free module of rank n over a commutative ring. We prove that tensor space V⊗ r
satisfies Schur–Weyl duality, regarded as a bimodule for the action of the group algebra of …

Polynomial representations of $$\mathrm{GL }(n)$$ and Schur–Weyl duality | SpringerLink Skip
to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search …

Let $ V $ be a free module of rank $ n $ over a commutative unital ring $ k $. We prove that
tensor space $ V^{\otimes r} $ satisfies Schur--Weyl duality, regarded as a bimodule for the …

Mathematical Proceedings of the Cambridge Philosophical Society Page 1 Mathematical
Proceedings of the Cambridge Philosophical Society VOL. 143 NOVEMBER 2007 PART 3 …

We prove a version of the Schur–Weyl duality over finite fields. We prove that for any field k,
if k has at least r+ 1 elements, the Schur–Weyl duality holds for the r th tensor power of a …

In Erdmann and Henke (Math. Proc. Cambridge Philos. Soc., to appear) we determine
precisely the degrees r for which the Schur algebra S (2, r) is its own Ringel dual. Here we …

Classical Schur-Weyl duality is between the group algebras of the general linear group,
GLm (C), and the symmetric group, Sr; both acting on the rth tensor power of the space Cm …

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 …