Multisegment duality, canonical bases and total positivity.
Multivariate copulas: Transformations, symmetry, order and measures of concordance
The present paper introduces a group of transformations on the collection of all multivariate copulas. The group contains a subgroup which is of particular interest since its elements preserve symmetry, the concordance order between two copulas and the value of every measure of concordance.
Natural projectors in tensor spaces.
New adventures in the land of -analogues (Yang-Baxter equations). (Nouvelles aventures au pays des -analogues (équation de Yang-Baxter).)
New ramification breaks and additive Galois structure
Which invariants of a Galois -extension of local number fields (residue field of char , and Galois group ) determine the structure of the ideals in as modules over the group ring , the -adic integers? We consider this question within the context of elementary abelian extensions, though we also briefly consider cyclic extensions. For elementary abelian groups , we propose and study a new group (within the group ring where is the residue field) and its resulting ramification filtrations....
Nilpotent blocks and their source algebras.
Non vanishing conjugacy classes for an irreducible character of .
Noncommutative independence in the infinite braid and symmetric group
This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows us to derive factorization properties from symmetries. We explain some of the main ideas of this approach and work out a constructive procedure to use in applications. Finally we illustrate the method by applying it to the theory of group characters.
Non-commutative matrix integrals and representation varieties of surface groups in a finite group
A new formula is established for the asymptotic expansion of a matrix integral with values in a finite-dimensional von Neumann algebra in terms of graphs on surfaces which are orientable or non-orientable.
Non-gatherable triples for non-affine root systems.
Non-symmetric Hall-Littlewood polynomials.
Normal p-Complements and Irreducible Characters.
Normal Subgroups of M-Groups Need Not Be M-Groups.
Note on the Integral Group Ring Problem.
Notes on TQFT wire models and coherence equations for triangular cells.
On 3-Manifolds with Finite Solvable Fundamental Groups.
On a Class of Jordan Groups.
On a conjecture of Alperin and McKay.
On a Conjecture of Zassenhaus on Torsion Units in Integral Group Rings.
On a cubic Hecke algebra associated with the quantum group
We define an operator α on ℂ³ ⊗ ℂ³ associated with the quantum group , which satisfies the Yang-Baxter equation and a cubic equation (α² - 1)(α + q²) = 0. This operator can be extended to a family of operators on with 0 ≤ j ≤ n - 2. These operators generate the cubic Hecke algebra associated with the quantum group . The purpose of this note is to present the construction.