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Components of AR-quivers for string algebras of type C˜ and a conjecture by Geiss-Leclerc-Schröer

We study modules of certain string algebras, which are referred to as of affine type C˜. We introduce minimal string modules and apply them to explicitly describe components of the Auslander-Reiten quivers of the string...

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...
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...

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...
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...
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...

Components of AR-quivers for string algebras of type C˜ and a conjecture by Geiss-Leclerc-Schröer

We study modules of certain string algebras, which are referred to as of affine type C˜. We introduce minimal string modules and apply them to explicitly describe components of the Auslander-Reiten quivers of the string...

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...
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...
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...
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...
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...
Some recent results for SU(3)$$ SU(3) $$ and octonions within the geometric algebra approach to the fundamental forces of nature
Anthony Lasenby
Jan 09, 2023
Different ways of representing the group S U ( 3 ) $$ SU(3) $$ within a Geometric Algebra approach are explored. As part of this, we consider characteristic multivectors for S U ( 3 ) $$ SU(3) $$ and how these are linked with...
SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family
We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a...
SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family
We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a...
Phenomenology of a SU(2) triplet Higgs.
Vera Agustin Sabio
Feb 15, 2010
We study the Renormalization Group (RG) evolution of the couplings in a model with a real SU(2) triplet in the Higgs sector. Insisting that the model remain valid up to 1 TeV we show that it is possible for there to be no light...
Investigating X chromosome non-disjunction in <em>Drosophila melanogaster su(var)3-9</em> mutants
Meiotic recombination is a highly regulated process necessary for promoting proper chromosome disjunction during the first meiotic division. Notably, reduced levels of meiotic recombination are observed in heterochromatic...
Published by: Winthrop University
Exact properties of an integrated correlator in N = 4 SU( N ) SYM
Abstract: We present a novel expression for an integrated correlation function of four superconformal primaries in SU(N) N = 4 supersymmetric Yang-Mills (N = 4 SYM) theory. This integrated correlator, which is based on...
Single-photon-multi-layer-interference lithography for high-aspect-ratio and three-dimensional SU-8 micro-/nanostructures.
We report microstructures of SU-8 photo-sensitive polymer with high-aspect-ratio, which is defined as the ratio of height to in-plane feature size. The highest aspect ratio achieved in this work exceeds 250. A multi-layer and...
Non-Lorentzian SU(1, n) Spacetime Symmetry In Various Dimensions
N Lambert, R Mouland, T Orchard
Jul 07, 2022
We discuss non-Lorentzian Lagrangian field theories in $2n-1$ dimensions that admit an $SU(1,n)$ spacetime symmetry which includes a scaling transformation. These can be obtained by a conformal compactification of a...
Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM
We study supersymmetry breaking deformations of the $\mathcal{N}=1$ 5d fixed point known as $E_1$, the UV completion of $SU(2)$ super-Yang-Mills. The phases of the non-supersymmetric theory can be characterized by Chern-Simons...
Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM
Abstract: We study supersymmetry breaking deformations of the N = 1 5d fixed point known as E1, the UV completion of SU(2) super-Yang-Mills. The phases of the non- supersymmetric theory can be characterized by Chern-Simons terms...
Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM
Abstract: We study supersymmetry breaking deformations of the N = 1 5d fixed point known as E1, the UV completion of SU(2) super-Yang-Mills. The phases of the non- supersymmetric theory can be characterized by Chern-Simons terms...
Exact properties of an integrated correlator in N = 4 SU(N) SYM
D Dorigoni, MB Green, C Wen
Sep 03, 2021
Abstract We present a novel expression for an integrated correlation function of four superconformal primaries in SU(N)...

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