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- Massachusetts Institute of TechnologyUS194 papers
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5 papers · 2 filters
Transfer matrices of rational spin chains via novel BGG-type resolutions
Rouven Frassek, Ivan Karpov, Alexander Tsymbaliuk
We obtain BGG-type formulas for transfer matrices of irreducible finite-dimensional representations of the classical Lie algebras , whose highest weight is a multiple…
Shuffle algebras for quivers as quantum groups
Andrei Neguţ, Francesco Sala, Olivier Schiffmann
We define a quantum loop group associated to an arbitrary quiver and maximal set of deformation parameters, with generators indexed by $I \times \mathbb{…
On the structure of the affine asymptotic Hecke algebras
Roman Bezrukavnikov, Stefan Dawydiak, Galyna Dobrovolska
According to a conjecture of Lusztig, the asymptotic affine Hecke algebra should admit a description in terms of the Grothedieck group of sheaves on the square of a finite set equi…
Quantum loop groups and shuffle algebras via Lyndon words
Andrei Neguţ, Alexander Tsymbaliuk
We study PBW bases of the untwisted quantum loop group (in the Drinfeld new presentation) using the combinatorics of loop words, by generalizing the treatment…
Classical and variational Poisson cohomology
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +2
We prove that, for a Poisson vertex algebra V, the canonical injective homomorphism of the variational cohomology of V to its classical cohomology is an isomorphism, provided that…