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tilting modules in the mixed case
Using the non-semisimple Temperley–Lieb calculus, we study the additive and monoidal
structure of the category of tilting modules for SL 2 in the mixed case. This simultaneously …
structure of the category of tilting modules for SL 2 in the mixed case. This simultaneously …
Growth rates of the number of indecomposable summands in tensor powers
Growth Rates of the Number of Indecomposable Summands in Tensor Powers Page 1
Algebras and Representation Theory (2024) 27:1033–1062 https://doi.org/10.1007/s10468-023-10245-7 …
Algebras and Representation Theory (2024) 27:1033–1062 https://doi.org/10.1007/s10468-023-10245-7 …
A basis theorem for the degenerate affine oriented Brauer–Clifford supercategory
We introduce the oriented Brauer–Clifford and degenerate affine oriented Brauer–Clifford
supercategories. These are diagrammatically defined monoidal supercategories that …
supercategories. These are diagrammatically defined monoidal supercategories that …
Integral Schur–Weyl duality for partition algebras
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 …
satisfies Schur–Weyl duality, regarded as a bimodule for the action of the group algebra of …
Schur–Weyl duality over commutative rings
T Cruz - Communications in Algebra, 2019 - Taylor & Francis
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 …
and Sd on the dth-tensor power of a free module of finite rank centralize each other. We …
Characteristic-free resolutions of Weyl and Specht modules
Characteristic-free resolutions of Weyl and Specht modules Page 1 Available online at www.sciencedirect.com
Advances in Mathematics 229 (2012) 2578–2601 www.elsevier.com/locate/aim …
Advances in Mathematics 229 (2012) 2578–2601 www.elsevier.com/locate/aim …
Schur–Weyl dualities for the rook monoid: an approach via Schur algebras
CA M. André, I Legatheaux Martins - Semigroup Forum, 2024 - Springer
The rook monoid, also known as the symmetric inverse monoid, is the archetypal structure
when it comes to extend the principle of symmetry. In this paper, we establish a Schur–Weyl …
when it comes to extend the principle of symmetry. In this paper, we establish a Schur–Weyl …
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 James McAuley Your account Account …
Francis Online homepage Browse Search Publish James McAuley Your account Account …
Canonical bases and new applications of increasing and decreasing subsequences to invariant theory
Abstract In 2012 Raghavan, Samuel, and Subrahmanyam showed that the Kazhdan–Lusztig
basis for the Iwahori–Hecke algebra in type A provides a “canonical” basis for the centraliser …
basis for the Iwahori–Hecke algebra in type A provides a “canonical” basis for the centraliser …
[HTML][HTML] Asymptotic codimensions of Mk (E)
A Berele, A Regev - Advances in Mathematics, 2020 - Elsevier
We show that the codimension sequence of the algebra of k× k matrices over the
Grassmann algebra, cn (M k (E)), is asymptotic to α n 1− k 2 2 (2 k 2) n, where α is an …
Grassmann algebra, cn (M k (E)), is asymptotic to α n 1− k 2 2 (2 k 2) n, where α is an …