Canadian Journal of Mathematics

We demonstrate how exact structures can be placed on the additive category of right operator modules over an operator algebra in order to discuss global dimension for operator algebras. The properties of the Haagerup tensor product play a decisive rol…

We explicate the combinatorial/geometric ingredients of Arthur’s proof of the convergence and polynomiality, in a truncation parameter, of his noninvariant trace formula. Starting with a fan in a real, finite dimensional, vector space and a collection…

Let

be squarefree with

. Let

denote the number of N-colored generalized Frobenius partitions of n introduced by Andrews in 1984, and

denote the number of partitions of n. We prove

where

is a cusp form in

. This e…

We obtain a nontrivial upper bound for the multiplicative energy of any sufficiently large subset of a subvariety of a finite algebraic group. We also find some applications of our results to the growth of conjugates classes, estimates of exponential…

The notion of the truncated Euler characteristic for Iwasawa modules is a generalization of the the usual Euler characteristic to the case when the Selmer groups are not finite. Let p be an odd prime,

and

be elliptic curves over a number …

We study the free metabelian group

of prime power exponent n on two generators by means of invariants

that we construct from colorings of the squares in the integer grid

. In particular, we improve bounds found by Newman for the orde…

Let G be a simple complex algebraic group, and let

be a reductive subgroup such that the coordinate ring of

is a multiplicity-free G-module. We consider the G-algebra structure of

and study the decomposition into irreducible summands…

We study the number of ways of factoring elements in the complex reflection groups

as products of reflections. We prove a result that compares factorization numbers in

to those in the symmetric group

, and we use this comparison, along …

We study families of metrics on automorphic vector bundles associated with representations of the modular group. These metrics are defined using an Eisenstein series construction. We show that in certain cases, the residue of these Eisenstein metrics…