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1.1. Classical r-matrices. In the early eighties, Belavin and Drinfeld [BD] classified nonskewsymmetric classical r-matrices for simple Lie algebras. It turned out that such r-matrices, up toâ€¦ (More)

A ] 9 Ju n 20 04 A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver

- Travis Schedler
- 2009

In [Gin01] and independently in [BLB02] an infinite-dimensional Lie algebra is canonically associated to any quiver. Following suggestions of V. Turaev, P. Etingof, and Ginzburg, we define aâ€¦ (More)

- Travis Schedler
- 2010

To every Poisson algebraic variety X over an algebraically closed field of characteristic zero, we canonically attach a right D-module M(X) on X . If X is affine, solutions of M(X) in the space ofâ€¦ (More)

Fix a Dynkin graph and let Î» be a coweight. When does there exist an element w of the corresponding Weyl group such that w is Î»-minuscule and w(Î») is dominant? We answer this question for generalâ€¦ (More)

We consider algebras defined from quivers with relations that are k-th order derivations of a superpotential. We give a construction compatible with Morita equivalence, and show that many importantâ€¦ (More)

We compute the stable homology of necklace Lie algebras associated with quivers and give a construction of stable homology classes from certain Aâˆž-categories. Our construction is a generalization ofâ€¦ (More)

- Ching-Hwa Eu, Travis Schedler
- 2009

We define Calabi-Yau Frobenius algebras over arbitrary base commutative rings. We define a Hochschild analogue of Tate cohomology, and show that this " stable Hochschild cohomol-ogy " of periodic CYâ€¦ (More)

- QÃ«ndrim R. Gashi, Travis Schedler, David E Speyer
- J. Comb. Theory, Ser. A
- 2012

We study the so-called looping case of Mozesâ€™s game of numbers, which concerns the (finite) orbits in the reflection representation of affine Weyl groups situated on the boundary of the Tits cone. Weâ€¦ (More)

- Citation Etingof, Pavel, Travis Schedler, Springer-Verlag, Pavel Etingof

The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Abstract. We compute the space of Poisson traces on a classical W-algebra, i.e.,â€¦ (More)

We prove a conjecture of Etingof and the second author for hypertoric varieties, that the Poisson-de Rham homology of a unimodular hypertoric cone is isomorphic to the de Rham cohomology of itsâ€¦ (More)