An integral theory of dominant dimension of Noetherian algebras

T Cruz - Journal of Algebra, 2022 - Elsevier
Dominant dimension is introduced into integral representation theory, extending the
classical theory of dominant dimension of Artinian algebras to projective Noetherian …

Perturbative 4D conformal field theories and representation theory of diagram algebras

R de Mello Koch, S Ramgoolam - Journal of High Energy Physics, 2020 - Springer
A bstract The correlators of free four dimensional conformal field theories (CFT4) have been
shown to be given by amplitudes in two-dimensional so (4, 2) equivariant topological field …

A Schur-Weyl duality analogue based on a commutative bilinear operation

JM Campbell - arXiv preprint arXiv:2406.02478, 2024 - arxiv.org
Schur-Weyl duality concerns the actions of $\text {GL} _ {n}(\mathbb {C}) $ and $ S_ {k} $ on
tensor powers of the form $ V^{\otimes k} $ for an $ n $-dimensional vector space $ V …

Schur-Weyl duality for toroidal algebras of type A

V Chari, L Grimley, Z Lin, CR Mangum… - Communications in …, 2024 - Taylor & Francis
Full article: Schur-Weyl duality for toroidal algebras of type A Skip to Main Content Taylor and
Francis Online homepage Browse Search Publish Login | Register Log in or Register Login …

Canonical bases and new applications of increasing and decreasing subsequences to invariant theory

C Bowman, S Doty, S Martin - arXiv preprint arXiv:2206.12001, 2022 - arxiv.org
Recent results show that the Kazhdan--Lusztig basis for Iwahori--Hecke algebras in type A
provide" canonical" bases for the centralizer algebras of the Schur algebra and the partition …

A characterisation of Morita algebras in terms of covers

T Cruz - Algebras and Representation Theory, 2022 - Springer
Abstract A pair (A, P) is called a cover of End A (P) op if the Schur functor Hom A (P,−) is fully
faithful on the full subcategory of projective A-modules, for a given projective A-module P. By …

Perturbative 4D conformal field theories and representation theory of diagram algebras

R Sanjaye - Journal of High Energy Physics, 2020 - search.proquest.com
The correlators of free four dimensional conformal field theories (CFT4) have been shown to
be given by amplitudes in two-dimensional so (4, 2) equivariant topological field theories …

A new approach to the construction of Schur-Weyl states

M Kaczor, P Jakubczyk - arXiv preprint arXiv:2004.14799, 2020 - arxiv.org
The Schur-Weyl states belong to a special class of states with a symmetry described by two
Young and Weyl tableaux. Representation of physical systems in Hilbert space spanned on …

[引用][C] Schur–Weyl duality over arbitrary commutative rings

T Cruz