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Similar Journals
 Canadian Journal of Mathematics / Journal canadien de mathématiquesNumber of Followers: 0      Hybrid journal (It can contain Open Access articles) ISSN (Print) 0008414X - ISSN (Online) 14964279 Published by Cambridge University Press  [387 journals]
• CJM volume 72 Issue 3 Cover and Front matter
• Pages: 1 - 2
PubDate: 2020-05-14
DOI: 10.4153/S0008414X20000231

• CJM volume 72 Issue 3 Cover and Back matter
• Pages: 1 - 2
PubDate: 2020-05-14
DOI: 10.4153/S0008414X20000243

• Models of Representations and Langlands Functoriality
• Authors: Mitra; Arnab, Sayag, Eitan
Pages: 676 - 707
Abstract: In this article we explore the interplay between two generalizations of the Whittaker model, namely the Klyachko models and the degenerate Whittaker models, and two functorial constructions, namely base change and automorphic induction, for the class of unitarizable and ladder representations of the general linear groups.
PubDate: 2019-01-07
DOI: 10.4153/S0008414X19000014

• A Morita Cancellation Problem
• Authors: Lu; D.-M., Wu, Q.-S., Zhang, J. J.
Pages: 708 - 731
Abstract: We study a Morita-equivalent version of the Zariski cancellation problem.
PubDate: 2019-01-29
DOI: 10.4153/S0008414X1900004X

• A New Axiomatics for Masures
• Authors: Hébert; Auguste
Pages: 732 - 773
Abstract: Masures are generalizations of Bruhat–Tits buildings. They were introduced by Gaussent and Rousseau to study Kac–Moody groups over ultrametric fields that generalize reductive groups. Rousseau gave an axiomatic definition of these spaces. We propose an equivalent axiomatic definition, which is shorter, more practical, and closer to the axiom of Bruhat–Tits buildings. Our main tool to prove the equivalence of the axioms is the study of the convexity properties in masures.
PubDate: 2019-01-29
DOI: 10.4153/S0008414X19000051

• Lipschitz-free Spaces on Finite Metric Spaces
• Authors: Dilworth; Stephen J., Kutzarova, Denka, Ostrovskii, Mikhail I.
Pages: 774 - 804
Abstract: Main results of the paper are as follows:(1) For any finite metric space the Lipschitz-free space on contains a large well-complemented subspace that is close to .(2) Lipschitz-free spaces on large classes of recursively defined sequences of graphs are not uniformly isomorphic to of the corresponding dimensions. These classes contain well-known families of diamond graphs and Laakso graphs.Interesting features of our approach are: (a) We consider averages over groups of cycle-preserving bijections of edge sets of graphs that are not necessarily graph automorphisms. (b) In the case of such recursive families of graphs as Laakso graphs, we use the well-known approach of Grünbaum (1960) and Rudin (1962) for estimating projection constants in the case where invariant projections are not unique.
PubDate: 2019-02-13
DOI: 10.4153/S0008414X19000087

• Zeroes of Polynomials With Prime Inputs and Schmidt’s $h$ -invariant
• Authors: Xiao; Stanley Yao, Yamagishi, Shuntaro
Pages: 805 - 833
Abstract: In this paper we show that a polynomial equation admits infinitely many prime-tuple solutions, assuming only that the equation satisfies suitable local conditions and the polynomial is sufficiently non-degenerate algebraically. Our notion of algebraic non-degeneracy is related to the -invariant introduced by W. M. Schmidt. Our results prove a conjecture by B. Cook and Á. Magyar for hypersurfaces of degree 3.
PubDate: 2019-02-07
DOI: 10.4153/S0008414X19000026

• Local Convergence and Stability of Tight Bridge-addable Classes
• Authors: Chapuy; G., Perarnau, G.
Pages: 563 - 601
Abstract: A class of graphs is bridge-addable if given a graph in the class, any graph obtained by adding an edge between two connected components of is also in the class. The authors recently proved a conjecture of McDiarmid, Steger, and Welsh stating that if is bridge-addable and is a uniform -vertex graph from  , then is connected with probability at least . The constant is best possible, since it is reached for the class of all forests.In this paper, we prove a form of uniqueness in this statement: if is a bridge-addable class and the random graph is connected with probability close to  , then
PubDate: 2018-10-15
DOI: 10.4153/S0008414X18000020

• On the First Zassenhaus Conjecture and Direct Products
• Authors: Bächle; Andreas, Kimmerle, Wolfgang, Serrano, Mariano
Pages: 602 - 624
Abstract: In this paper we study the behavior of the first Zassenhaus conjecture (ZC1) under direct products, as well as the General Bovdi Problem (Gen-BP), which turns out to be a slightly weaker variant of (ZC1). Among other things, we prove that (Gen-BP) holds for Sylow tower groups, and so in particular for the class of supersolvable groups.(ZC1) is established for a direct product of Sylow-by-abelian groups provided the normal Sylow subgroups form together a Hall subgroup. We also show (ZC1) for certain direct products with one of the factors a Frobenius group.We extend the classical HeLP method to group rings with coefficients from any ring of algebraic integers. This is used to study (ZC1) for the direct product , where is a finite abelian group and has order at most 95. For most of these groups we show that (ZC1) is valid and for all of them that (Gen-BP) holds. Moreover, we also prove that (Gen-BP) holds for the direct product of a Frobenius group with any finite abelian group.
PubDate: 2018-10-15
DOI: 10.4153/S0008414X18000044

• The Primitive Spectrum and Category  ${\mathcal{O}}$ for the Periplectic
Lie Superalgebra
• Authors: Chen; Chih-Whi, Coulembier, Kevin
Pages: 625 - 655
Abstract: We solve two problems in representation theory for the periplectic Lie superalgebra , namely, the description of the primitive spectrum in terms of functorial realisations of the braid group and the decomposition of category  into indecomposable blocks.To solve the first problem, we establish a new type of equivalence between category  for all (not just simple or basic) classical Lie superalgebras and a category of Harish-Chandra bimodules. The latter bimodules have a left action of the Lie superalgebra but a right action of the underlying Lie algebra. To solve the second problem, we establish a BGG reciprocity result for the periplectic Lie superalgebra.
PubDate: 2018-11-16
DOI: 10.4153/S0008414X18000081

• A Generalization of a Theorem of Swan with Applications to Iwasawa Theory
• Authors: Nickel; Andreas
Pages: 656 - 675
Abstract: Let be a prime and let be a finite group. By a celebrated theorem of Swan, two finitely generated projective -modules and are isomorphic if and only if and are isomorphic as -modules. We prove an Iwasawa-theoretic analogue of this result and apply this to the Iwasawa theory of local and global fields. We thereby determine the structure of natural Iwasawa modules up to (pseudo-)isomorphism.
PubDate: 2018-11-16
DOI: 10.4153/S0008414X18000093

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