In this talk I will survey some results on and techniques to study actions of (finite-dimensional) Hopf algebras on noncommutative algebras. Many examples will be provided and the categorical context for such results will be emphasized.Non UBCUnreviewedAuthor affiliation: University of Illinois at Urbana–ChampaignFacult
Quantum groups and quantum homogeneous spaces - developed by several authors since the 80's - provid...
Abstract. The nonsemisimple quantum Cayley-Klein groups Fun(SUq(2; j)) are realized as Hopf algebra ...
We examine a quantum group gauge theory generalizing classical fibre bundle theory. This is done, in...
In this talk I will survey some results on and techniques to study actions of (finite-dimensional) H...
Quantum objects and their noncommutative algebras of functions have been ubitiquous in mathematics a...
This work is a short review on recent results about the Hopf algebraic approach to noncommutative di...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influe...
summary:We define algebraic families of (all) morphisms which are purely algebraic analogs of quantu...
For a finite-dimensional cocommutative semisimple Hopf C∗-algebra H and a normal coideal ∗-subalgebr...
11 pages, LaTeX. Submitted to the Proceedings of the Intern. Seminar "Supersymmetries and Quantum Sy...
AS-regular algebras are non-commutative analogues of smooth projective schemes, with those of global...
Abstract We examine actions of finite-dimensional pointed Hopf algebras on central si...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
AbstractWe discuss a general construction of a deformation of a smash product algebra coming from an...
Quantum groups and quantum homogeneous spaces - developed by several authors since the 80's - provid...
Abstract. The nonsemisimple quantum Cayley-Klein groups Fun(SUq(2; j)) are realized as Hopf algebra ...
We examine a quantum group gauge theory generalizing classical fibre bundle theory. This is done, in...
In this talk I will survey some results on and techniques to study actions of (finite-dimensional) H...
Quantum objects and their noncommutative algebras of functions have been ubitiquous in mathematics a...
This work is a short review on recent results about the Hopf algebraic approach to noncommutative di...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influe...
summary:We define algebraic families of (all) morphisms which are purely algebraic analogs of quantu...
For a finite-dimensional cocommutative semisimple Hopf C∗-algebra H and a normal coideal ∗-subalgebr...
11 pages, LaTeX. Submitted to the Proceedings of the Intern. Seminar "Supersymmetries and Quantum Sy...
AS-regular algebras are non-commutative analogues of smooth projective schemes, with those of global...
Abstract We examine actions of finite-dimensional pointed Hopf algebras on central si...
In quantum theory, internal symmetries more general than groups are possible. We show that quasi-tri...
AbstractWe discuss a general construction of a deformation of a smash product algebra coming from an...
Quantum groups and quantum homogeneous spaces - developed by several authors since the 80's - provid...
Abstract. The nonsemisimple quantum Cayley-Klein groups Fun(SUq(2; j)) are realized as Hopf algebra ...
We examine a quantum group gauge theory generalizing classical fibre bundle theory. This is done, in...