Now showing items 1-5 of 5

    • Derived Representation Schemes And Non-Commutative Geometry 

      Khachatryan, George (2012-01-31)
      After surveying relevant literature (on representation schemes, homotopical algebra, and non-commutative algebraic geometry), we provide a simple algebraic construction of relative derived representation schemes and prove ...
    • Graded Cherednik Algebra And Quasi-Invariant Differential Forms 

      El Fassy Fihry, Youssef (2014-01-27)
      Given a finite Coxeter group W acting on its finite dimensional reflection representation V, we consider the ring D(ΩV)[RTIMES]W of equivariant differential operators on differential forms on V. After computing its Hochschild ...
    • Jacobi Structures And Differential Forms On Contact Quotients 

      Mahmood, Fatima (2012-08-20)
      In the first part of this thesis, we generalize the notion of a Jacobi bracket on the algebra of smooth functions on a manifold to the notion of a Jacobi bracket on an abstract commutative algebra. We also prove certain ...
    • Kauffman Bracket Skein Modules And The Quantum Torus 

      Samuelson, Peter (2012-08-20)
      If M is a 3-manifold, the Kauffman bracket skein module is a vector space Kq (M ) functorially associated to M that depends on a parameter q ∈ C* . If F is a surface, then Kq (F x [0, 1]) is an algebra, and Kq (M ) is a ...
    • Yuri Berest Interview October 31, 1999 

      Berest, Yuri (1999-10-31)
      Interview conducted October 31, 1999 by Eugene Dynkin with Yuri Berest.