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For a split Kac-Moody group G over an ultrametric field K, S. Gaussent and the author defined an ordered affine hovel on which the group acts; it generalizes the Bruhat-Tits building which corresponds...
In this paper we present the classification of a subclass of natu-rally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence equal to (n−3, 3). For this...
We give a classification result for a certain class of C∗-algebras A over a finite topological space X in which there exists an open set U of X such that U separates the finite and infinite subq...
This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and s...
This survey paper contains a detailed self-contained introduction to Korovkin-type theorems and to some of their applications concerning the approximation of continuous functions as well as of Lp-fu...
We show that bicrossed product Hopf algebras arising from exact factorizations in almost simple finite groups, so in particular, in simple and symmetric groups, admit no uasitriangular structure.
We construct a vertex algebra of central charge 26 from a lattice orbifold vertex operator algebra of central charge 12. The BRST-cohomology group of this vertex algebra is a new generalized Kac-Moody...
More Kolakoski Sequences      Kolakoski Sequences        2010/12/9
Our goal in this article is to review the known properties of the mysterious Kolakoski sequence and at the same time look at generalizations of it over arbitrary two letter alphabets. Our primary fo...
In this note we present some remarks on big Cohen-Macaulay algebras.Our methods for doing this are inspired by the notion of dagger closure and by ideas of Northcott on dropping of the Noetherian assu...
D. Krieger and J. Shallit have proved that every real number greater than 1 is a critical exponent of some sequence [1].We show how this result can be derived from some general statements about sequen...
Let ∞,1 be the inductive limit of compact oriented surfaces with one boundary component. We prove the center of the Goldman Lie algebra of the surface ∞,1is spanned by the constant loop. A similar s...
We give an Eynard-Orantin type topological recursion formula for the canonical Euclidean volume of the combinatorial moduli space of pointed smooth algebraic curves. The recursion comes from the edg...
We prove the irreducibility of universal Severi varieties parametrizing irreducible, reduced, nodal hyperplane sections of primitive K3 surfaces of genus g, with 3 ≤ g ≤ 11, g 6= 10.
In this paper, the realignment criterion and the RCCN criterion of separability for states in infinite-dimensional bipartite quantum systems are established. Let HA and HB be complex Hilbert spaces wi...
The Laguerre symmetric functions introduced in the note are indexed by arbitrary partitions and depend on two continuous parameters. The top degree homogeneous component of every Laguerre symmetric fu...

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