5 papers
De Rham Complex for Quantized Irreducible Flag Manifolds
I. Heckenberger, S. Kolb
It is shown that quantized irreducible flag manifolds possess a canonical -analogue of the de Rham complex. Generalizing the well known situation for the standard Podleś' quantu…
Podleś' Quantum Sphere: Dual Coalgebra and Classification of Covariant First Order Differential Calculus
I. Heckenberger, S. Kolb
The dual coalgebra of Podleś' quantum sphere O_q(S^2_c) is determined explicitly. This result is used to classify all finite dimensional covariant first order differential calculi…
Classification of Left-Covariant Differential Calculi on the Quantum Group $\SLq 2$
I. Heckenberger
For transcendental values of q the quantum tangent spaces of all left-covariant first order differential calculi of dimension less than four on the quantum group $\SLq 2$ are given…
Symmetrizer and Antisymmetrizer of the Birman-Wenzl-Murakami Algebras
István Heckenberger, Axel Schüler
Explicit formulas for the symmetrizer and the antisymmetrizer of the Birman-Wenzl-Murakami algebras BWM(r,q)_n are given.
Hodge and Laplace-Beltrami Operators for Bicovariant Differential Calculi on Quantum Groups
I. Heckenberger
For bicovariant differential calculi on quantum matrix groups a generalisation of classical notions such as metric tensor, Hodge operator, codifferential and Laplace-Beltrami opera…