7 citations · 26 across the 9 of their papers we have counts for
10 papers
Principal Loading Analysis
Jan O. Bauer, Bernhard Drabant
This paper proposes a tool for dimension reduction where the dimension of the original space is reduced: a Principal Loading Analysis (PLA). PLA is a tool to reduce dimensions by d…
Cross Product Bialgebras - Part II
Yuri Bespalov, Bernhard Drabant
This is the central article of a series of three papers on cross product bialgebras. We present a universal theory of bialgebra factorizations (or cross product bialgebras) with co…
Actions of Multiplier Hopf Algebras
B. Drabant, A. Van Daele, Y. Zhang
For an action of a group on an algebra (over ), the crossed product is the vector space of -valued functions with finite support in , togethe…
Cross Product Bialgebras - Part I
Yuri N. Bespalov, Bernhard Drabant
The subject of this article are cross product bialgebras without co-cycles. We establish a theory characterizing cross product bialgebras universally in terms of projections and in…
Differential Calculus in Braided Abelian Categories
Yuri Bespalov, Bernhard Drabant
Braided non-commutative differential geometry is studied. In particular we investigate the theory of (bicovariant) differential calculi in braided abelian categories. Previous resu…
Pairing and Quantum Double of Multiplier Hopf Algebras
Bernhard Drabant, Alfons Van Daele
We define and investigate pairings of multiplier Hopf algebras. It is shown that two dually paired regular multiplier Hopf (-)algebras and yield a quantum double multipl…