Quasideterminants Page 1 http://www.elsevier.com/locate/aim Advances in Mathematics 193
(2005) 56–141 Quasideterminants Israel Gelfand,a Sergei Gelfand,b,√ Vladimir Retakh,a,1 …

The paper surveys open problems and questions related to different aspects of integrable
systems with finitely many degrees of freedom. Many of the open problems were suggested …

This paper presents a noncommutative theory of symmetric functions, based on the notion of
quasi-determinant. We begin with a formal theory, corresponding to the case of symmetric …

F2-linear pseudorandom number generators are very popular due to their high speed, to the
ease with which generators with a sizable state space can be created, and to their provable …

Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …

The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

In this book the authors develop a theory of free noncommutative functions, in both algebraic
and analytic settings. Such functions are defined as mappings from square matrices of all …

The classical matrix groups are of fundamental importance in many parts of geometry and
algebra. Some of them, likeSp (n), are most conceptually defined as groups of quaternionic …

This book introduces a new geometric vision of continued fractions. It covers several
applications to questions related to such areas as Diophantine approximation, algebraic …

Noncommutative analogues of classical operations on symmetric functions are investigated,
and applied to the description of idempotents and nilpotents in descent algebras. It is shown …