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Categorification and the quantum Grassmannian
In an earlier work, we gave an (additive) categorification of Grassmannian cluster algebras using the category CM(A) of Cohen-Macaulay modules for a certain Gorenstein order A. In this paper, for each cluster tilting object in...
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A geometric realisation of 0-Schur and 0-Hecke algebras
We define a new product on orbits of pairs of flags in a vector space over a field $k$, using open orbits in certain varieties of pairs of flags.
This new product defines an associative $\mathbb{Z}$-algebra, denoted by...
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Adjoint action of automorphism groups on radical endomorphisms, generic equivalence and Dynkin quivers

Let Q be a connected quiver with no oriented cycles, k the field of complex numbers and P a projective representation of Q. We study the adjoint action of the automorphism group AutkQ P on the space of radical...

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PRESENTING Hecke endomorphism algebras by Hasse quivers with relations
A Hecke endomorphism algebra is a natural generalisation of the $q$-Schur algebra associated with the symmetric group to a Coxeter group. For Weyl groups, B. Parshall, L. Scott and the first author \cite{DPS,DPS4} investigated...
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Degeneration of <em>A</em>-infinity modules
In this paper we use A∞-modules to study the derived category of a finite dimensional algebra over an algebraically closed field. We study varieties parameterising A∞-modules. These varieties carry an action of an algebraic...
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Degeneration of <em>A</em>-infinity modules
In this paper we use A∞-modules to study the derived category of a finite dimensional algebra over an algebraically closed field. We study varieties parameterising A∞-modules. These varieties carry an action of an algebraic...
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Adjoint action of automorphism groups on radical endomorphisms, generic equivalence and Dynkin quivers

Let Q be a connected quiver with no oriented cycles, k the field of complex numbers and P a projective representation of Q. We study the adjoint action of the automorphism group AutkQ P on the space of radical...

Published by:
PRESENTING Hecke endomorphism algebras by Hasse quivers with relations
A Hecke endomorphism algebra is a natural generalisation of the $q$-Schur algebra associated with the symmetric group to a Coxeter group. For Weyl groups, B. Parshall, L. Scott and the first author \cite{DPS,DPS4} investigated...
Published by:
A geometric realisation of 0-Schur and 0-Hecke algebras
We define a new product on orbits of pairs of flags in a vector space over a field $k$, using open orbits in certain varieties of pairs of flags.
This new product defines an associative $\mathbb{Z}$-algebra, denoted by...
Published by:
Categorification and the quantum Grassmannian
In an earlier work, we gave an (additive) categorification of Grassmannian cluster algebras using the category CM(A) of Cohen-Macaulay modules for a certain Gorenstein order A. In this paper, for each cluster tilting object in...
Published by:
Simplexity to Improve Human-Machine Interaction in 3D Virtual Reality
The purpose of this paper is to present the use of the notion of simplexity to facilitate the design of virtual and immersive environments. Through ahistorical and argumentative excursus, the authors specify the motivations that...