The varieties of n-testable semigroups.
The variety generated by finite nilpotent monoids.
The variety of an indecomposable module is connected.
The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0
2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0. The algebras of this variety are left nilpotent of class not more than 3. We give a complete description of the vector space of multilinear identities in the language of representation theory of the symmetric group Sn and Young diagrams. We also show that the...
The variety of topological groups generated by the free topological group on [0,1]
The virtual and universal braids
We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi-direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a semi-direct product of free groups. From these results we obtain a normal form of words in the virtual braid group. We introduce the concept of a universal braid group. This group contains the classical braid group and has as quotients the singular braid group, virtual...
The virtual cohomological dimension of the mapping class group of an orientable surface.
The virtual Haken conjecture: Experiments and examples.
The weights of irreducible -modules in the defining characteristic.
The Whitehead categorical group of derivations.
The Whitehead group of a polynomial extension
The width of a power of a free nilpotent group of nilpotency class 2.
The word problem for nilpotent inverse monoids.
The word problem in polycyclic groups is elementary
The word problem in regular band free products.
The Yang-Baxter equation and invariants of links.
The Yokonuma-Temperley-Lieb algebra
We define the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra over a two-sided ideal generated by an expression analogous to the one of the classical Temperley-Lieb algebra. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra to pass through to the quotient algebra, leading to a sequence of knot invariants which coincide with the Jones polynomial.
The Young diagrams of a pair of irreducible characters of with the same zero set on .
The Zassenhaus decomposition for the orthogonal group: properties and applications.
The Z*-theorem for compact Lie groups.