Quantum affine algebras and affine Hecke algebras [PDF]
We describe a connection between finite--dimensional representations of quantum affine algebras and affine Hecke algebras.
arxiv
On representations of affine Temperley–Lieb algebras, II [PDF]
We study some non-semisimple representations of affine Temperley--Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules. Moreover, we construct a completion which is an infinite dimensional cellular algebra.
Green, R. M., Erdmann, K.
openaire +3 more sources
Identification of novel small molecule inhibitors of ETS transcription factors
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla+9 more
wiley +1 more source
Double affine Hecke algebras and affine flag manifolds, I [PDF]
This lecture reviews the classification of simple modules of double affine Hecke algebras via the K-theory of Steinberg varieties of affine ...
arxiv
The Saccharomyces cerevisiae amino acid transporter Lyp1 has a broad substrate spectrum
In Saccharomyces cerevisiae, Yeast Amino acid Transporter family members mediate the import of amino acids, ranging from substrate specialists to generalists. Here, we show that the specialist transporter, Lyp1, has a broader substrate spectrum than previously described, with affinity constants spanning from micromolar to millimolar.
Foteini Karapanagioti+3 more
wiley +1 more source
MMAR-Net: A Multi-Stride and Multi-Resolution Affine Registration Network for CT Images
The evolution of lung lesions can be assessed by examining multiple CT screenings, which needs to align two CT images accurately. In this study, we propose a multi-stride and multi-resolution affine registration network, called MMAR-net, for 3D affine ...
Fu Zhou+4 more
doaj +1 more source
Biorthogonal-Wavelet-Based Method for Numerical Solution of Volterra Integral Equations
Framelets theory has been well studied in many applications in image processing, data recovery and computational analysis due to the key properties of framelets such as sparse representation and accuracy in coefficients recovery in the area of numerical ...
Mutaz Mohammad
doaj +1 more source
The cohomology of the affine Deligne-Lusztig varieties in the affine flag manifold of $GL_2$ [PDF]
This paper studies affine Deligne-Lusztig varieties in the affine flag manifold of GL_2. At first we determine all such varieties up to isomorphy. After this we investigate the representations of the sigma-stabilizer of an element b of the group on the etale cohomology of the affine Deligne-Lusztig variety X_w(b).
arxiv
Finite-difference representations of the degenerate affine Hecke algebra [PDF]
The representations of the degenerate affine Hecke algebra in which the analogues of the Dunkl operators are given by finite-difference operators are introduced. The non-selfadjoint lattice analogues of the spin Calogero-Sutherland hamiltonians are analysed by Bethe-Ansatz.
arxiv +1 more source
Derived Satake category and Affine Hecke category in mixed characteristics [PDF]
We construct a new affine Grassmannian which connects an equal characteristic affine Grassmannian and Zhu's Witt vector affine Grassmannian. As a result, we deduce the mixed characteristic version of the Bezrukavnikov-Finkelberg's derived Satake equivalence.
arxiv