Results 1 to 10 of about 3,958 (21)
Smooth affine group schemes over the dual numbers [PDF]
Épijournal de Géométrie Algébrique, 2019 We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj +1 more source
The parabolic exotic t-structure [PDF]
Épijournal de Géométrie Algébrique, 2018 Let G be a connected reductive algebraic group over an algebraically closed field k, with simply connected derived subgroup. The exotic t-structure on the cotangent bundle of its flag variety T^*(G/B), originally introduced by Bezrukavnikov, has been a ...
Pramod N Achar +2 more
doaj +1 more source
Stokes posets and serpent nests [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 30 pages, 12 ...
Frédéric Chapoton
doaj +1 more source
Internally Calabi-Yau algebras and cluster-tilting objects [PDF]
, 2017 We describe what it means for an algebra to be internally d-Calabi-Yau with respect to an idempotent. This definition abstracts properties of endomorphism algebras of (d-1)-cluster-tilting objects in certain stably (d-1)-Calabi-Yau Frobenius categories ...
Pressland, Matthew
core +4 more sources
A survey on maximal green sequences
, 2020 Maximal green sequences appear in the study of Fomin-Zelevinsky's cluster algebras. They are useful for computing refined Donaldson-Thomas invariants, constructing twist automorphisms and proving the existence of theta bases and generic bases.
Demonet, Laurent, Keller, Bernhard
core +1 more source
Invariant Functionals on the Speh representation [PDF]
, 2015 We study Sp(2n,R)-invariant functionals on the spaces of smooth vectors in Speh representations of GL(2n,R). For even n we give expressions for such invariant functionals using an explicit realization of the space of smooth vectors in the Speh ...
Gourevitch, Dmitry +2 more
core +1 more source
The PBW Filtration, Demazure Modules and Toroidal Current Algebras [PDF]
, 2008 Let $L$ be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra $\hat{\mathfrak g}$. The $m$-th space $F_m$ of the PBW filtration on $L$ is a linear span of vectors of the form $x_1...
Feigin, Evgeny
core +5 more sources
Generalized double affine Hecke algebras of higher rank [PDF]
, 2006 We define generalized double affine Hecke algebras (GDAHA) of higher rank, attached to a non-Dynkin star-like graph D. This generalizes GDAHA of rank 1 defined in math.QA/0406480 and math.QA/0409261. If the graph is extended D4, then GDAHA is the algebra
Etingof, Pavel +2 more
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Infinite-dimensional diffusions as limits of random walks on partitions [PDF]
, 2008 The present paper originated from our previous study of the problem of harmonic analysis on the infinite symmetric group. This problem leads to a family {P_z} of probability measures, the z-measures, which depend on the complex parameter z.
A. Borodin +22 more
core +2 more sources
From triangulated categories to cluster algebras [PDF]
, 2005 The cluster category is a triangulated category introduced for its combinatorial similarities with cluster algebras. We prove that a cluster algebra A of finite type can be realized as a Hall algebra, called the exceptional Hall algebra, of the cluster ...
Caldero, Philippe, Keller, Bernhard
core +8 more sources