Related papers: Arp's Indomitable Universe
We generalize a result of Araki (1985) on indecomposable group representations with invariant (necessarily indefinite) inner product and irreducible subrepresentation to Hopf $*$-algebras. Moreover, we characterize invariant inner products…
This article reviews the life and death of a scientific theory.
Several errors in Stapp's interpretation of quantum mechanics and its application to mental causation (Henry P. Stapp, "Quantum theory and the role of mind in nature," e-Print quant-ph/0103043) are pointed out. An interpretation of…
This is an English translation of the obituary notice by Beno Eckmann, appearing in Elemente der Mathematik 47.3 (1992) 118--122 (in German).
This article discusses the life and work of Professor Ola Bratteli (1946--2015). Family, fellow students, his advisor, colleagues and coworkers review aspects of his life and his outstanding mathematical accomplishments.
This paper describes the development of a humanoid robot called ARDOP. The goal of the project is to provide a modular, open-source, and inexpensive humanoid robot that would enable researchers to answer various problems related to robotic…
This is a Comment to the recent 3 papers by S.S. Afonin
Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory. One of Hu's results gives us a necessary and sufficient…
Brief recollections by the author about how his work with Kip Thorne influenced his career in physics.
The character Mr. Palomar, the alter-ego of the Italian author Italo Calvino, appeared for the first time in 1975 on the pages of the "Il Corriere della Sera", and then more or less regularly till its debut as a book in 1983. Through…
Two-imcompressible phase model of star is briefly revised. Effects of rotation and general relativity are considered.
In this work, we give a survey of recent developments in the theory of partial actions of groups and Hopf algebras.
Homage is paid to E. Majorana by dedicating our recent work in his memory.
An alternative construction, using Witt's formalism, of the Arf-invariant of quadratic forms in characteristic 2.
In the century since Einstein's anno mirabilis of 1905, our concept of the Universe has expanded from Kapteyn's flattened disk of stars only 10 kpc across to an observed horizon about 30 Gpc across that is only a tiny fraction of an…
Some contemporary views of the universe assume information and computation to be key in understanding and explaining the basic structure underpinning physical reality. We introduce the Computable Universe exploring some of the basic…
We give an accessible and modern description of the automorphisms of a finite abelian group $G$. Included is an explicit formula for the cardinality of $Aut(G)$.
A mixture of an historical article, and of a survey of recent developments, containing also a couple of new results.
This is a preprint version of a chapter for Handbook of Algebra.
This is the third of a series of papers surveying some small part of the remarkable work of our friend and colleague Nigel Kalton. We have written it as part of a tribute to his memory. It does not contain new results. This time, rather…