Blar i Fakultet for teknologi, kunst og design (TKD) på emneord "Quantum groups"

Viser treff 1-7 av 7

    • The Dirac operator on compact quantum groups 

      Neshveyev, Sergey; Tuset, Lars (Journal für die reine und angewandte Mathematik;2010 (641), Journal article; Peer reviewed, 2010-01-20)
      For the q-deformation Gq, 0 < q < 1, of any simply connected simple compact Lie group G we construct an equivariant spectral triple which is an isospectral deformation of that defined by the Dirac operator D on G. Our ...

    • Kahler structures on quantum irreducible flag manifolds 

      Matassa, Marco (Journal of Geometry and Physics;Volume 145, November 2019, 103477, Journal article; Peer reviewed, 2019-07-11)
      We prove that all quantum irreducible flag manifolds admit Kähler structures, as defined by Ó Buachalla. In order to show this result, we also prove that the differential calculi defined by Heckenberger and Kolb are ...

    • Notes on the Kazhdan-Lusztig Theorem on Equivalence of the Drinfeld Category and the Category of U(q)g-Modules 

      Neshveyev, Sergey; Tuset, Lars (Algebras and Representation Theory;14 (5), Journal article; Peer reviewed, 2011)

    • The Parthasarathy formula and a spectral triple for the quantum Lagrangian Grassmannian of rank two 

      Matassa, Marco (Letters in Mathematical Physics;August 2019, Volume 109, Issue 8, Journal article; Peer reviewed, 2019-02-05)
      Background and objective: The long-term psychosocial outcome of young adults after paediatric liver transplantation (LT) was investigated with the focus on day-to-day living. We aimed to capture patients’ subjective ...

    • Quantization of subgroups of the affine group 

      Tuset, Lars; Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey (Journal of Functional Analysis;Volume 280, Issue 4, 108844, Journal article; Peer reviewed, 2021-02-15)
      Consider a locally compact group such that V is abelian and the action of Q on the dual abelian group has a free orbit of full measure. We show that such a group G can be quantized in three equivalent ways: (1) by ...

    • Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices 

      De Commer, Kenny; Matassa, Marco (Advances in Mathematics;Volume 366, 3 June 2020, 107029, Journal article; Peer reviewed, 2020-06-03)
      Let U be a connected, simply connected compact Lie group with complexification G. Let u and g be the associated Lie algebras. Let Γ be the Dynkin diagram of g with underlying set I, and let Uq(u) be the associated quantized ...

    • Regularity of twisted spectral triples and pseudodifferential calculi 

      Matassa, Marco; Yuncken, Robert (Journal of Noncommutative Geometry;, Journal article; Peer reviewed, 2019-03-13)
      We investigate the regularity condition for twisted spectral triples. This condition is equivalent to the existence of an appropriate pseudodifferential calculus compatible with the spectral triple. A natural approach to ...