Results 1 to 10 of about 3,979 (42)

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, Nicholas Cooney, Simon N. Riche   +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

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, Sahi, Siddhartha, Sayag, Eitan   +2 more
core   +1 more source

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

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

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

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, A. Borodin, A. Borodin, A. Borodin, A. Edrei, A. Lascoux, A.D. Wentzell, A.M. Vershik, Alexei Borodin, B. Schmuland, E. Thoma, Grigori Olshanski, I.B. Frenkel, I.G. Macdonald, J. Fulman, J. Lamperti, J.G. Kemeny, L. Overbeck, S. Kerov, S. Kerov, S. Kerov, S.N. Ethier, S.N. Ethier   +22 more
core   +2 more sources

Baxter operator formalism for Macdonald polynomials [PDF]

, 2013
We develop basic constructions of the Baxter operator formalism for the Macdonald polynomials associated with root systems of type A. Precisely we construct a dual pair of mutually commuting Baxter operators such that the Macdonald polynomials are their ...
Anton Gerasimov, Dimitri Lebedev, I.G. Macdonald, R.J. Baxter, R.P. Stanley, S.N.M. Ruijsenaars, Sergey Oblezin, V. Pasquier   +7 more
core   +3 more sources

Junction type representations of the Temperley-Lieb algebra and associated symmetries [PDF]

, 2010
Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation.
Doikou, Anastasia, Karaiskos, Nikos
core   +6 more sources