2 citations · 4 across the 5 of their papers we have counts for
5 papers
On FRT-Clifford Algebras
I. Heckenberger, A. Schueler
We study the q-Clifford algebras Cl_q(N,c), called FRT-Clifford algebras, introduced by Faddeev, Reshetikhin and Takhtajan. It is shown that Cl_q(N,c) acts on the q-exterior algebr…
De Rham Cohomology and Hodge decomposition for Quantum Groups
I. Heckenberger, A. Schueler
Let G=G(t,z) be one of the N^2-dimensional bicovariant first order differential calculi for the quantum groups GL_q(N), SL_q(N), O_q(N), or Sp_q(N), where q is a transcendental com…
Exterior Algebras Related to the Quantum Group O_q(3)$
I. Heckenberger, A. Schueler
For the 9-dimensional bicovariant differential calculi on the Hopf algebra several kinds of exterior algebras are examined. The corresponding dimensions, bicovariant su…
Higher Order Differential Calculus on
I. Heckenberger, A. Schueler
Let be an -dimensional bicovariant first order differential calculus on a Hopf algebra . There are three possibilities to construct a differential Z-graded Hopf a…
Left-Covariant Differential Calculi on SL_q(2) and SL_q(3)
Konrad Schm"udgen, Axel Sch"uler
We study dimensional left-covariant differential calculi on the quantum group for which the generators of the quantum Lie algebras annihilate the quantum trace. I…