Proceedings of an AMS Special Session uncover fresh insights into quantum groups and Hopf algebras through research linking finite groups, tensor categories, and topology. Articles extend to quantum field theory and condensed matter physics, honorin...Loe edasi...
This volume contains the proceedings of the AMS Special Session on Combinatorial and Geometric Representation Theory, held virtually on November 20-21, 2021. The articles offer an engaging look into recent advancements in geometric representation th...Loe edasi...
This book is the third Proceedings of the Southeastern Lie Theory Workshop Series covering years 2015-21. During this time five workshops on different aspects of Lie theory were held at North Carolina State University in October 2015; University of...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
Contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held in June 2022, at the University of Washington, Seattle, in honor of S. Paul Smiths 65th birthday. The articl...Loe edasi...
Contains the proceedings of the Centennial Amitsur Symposium, held from November 1-4, 2021, at The Hebrew University of Jerusalem. The sixteen papers included in the volume represent the broad impact of Shimshon Amitsurs work....Loe edasi...
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong unifor...Loe edasi...
In this paper we determine all triples in the case where H and G are simple algebraic groups of type A, and H is embedded irreducibly in G. While there are a number of interesting familes of such triples, the possibilities for the highest weights of...Loe edasi...
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality que...Loe edasi...
The method can be viewed as an extension of the work of Godement-Jacquet (1972) for the standard L-function of GLn and is expected to work for all classical groups. We will consider the Archimedean local theory and the global theory in our future wo...Loe edasi...
Focuses on new and existing connections between three types of compactifications, thereby setting the stage for further research. The book draws on the discipline-specific expertise of all contributors, and at the same time gives a unified, self-con...Loe edasi...
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
Sari: CRM Monograph Series
(Ilmumisaeg: 30-Nov-2023, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470474119)
Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montreal. Lobjet de ce texte est une ample generalisation dune famille didentites classiques, not...Loe edasi...
Vladimir Platonov, Andrei Rapinchuk, Igor Rapinchuk
Sari: Cambridge Studies in Advanced Mathematics
(Ilmumisaeg: 07-Sep-2023, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9780521113618)
This is the first volume of a two-volume book that offers an in-depth, and essentially self-contained, treatment of the arithmetic theory of algebraic groups. It is accessible to graduate students and researchers in number theory, algebraic geometry...Loe edasi...
Presents the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held in June 2021. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algo...Loe edasi...
We introduce an affine Schur algebra via the affine Hecke algebra associated to Weyl group of affine type C. We establish multiplication formulas on the affine Hecke algebra and affine Schur algebra. Then we construct monomial bases and canonical ba...Loe edasi...
This monograph presents a unified framework for determining the congruences on a number of monoids and categories of transformations, diagrams, matrices and braids, and on all their ideals. The key theoretical advances present an iterative process o...Loe edasi...
(Ilmumisaeg: 15-Dec-2022, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781108832038)
Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse stru...Loe edasi...
Perverse sheaves were discovered in the fall of 1980, says Achar, and have been a powerful tool of fundamental importance in geometric representation theory ever since. One reason they are so useful, he argues, is that they are easy, requiring on...Loe edasi...
We consider a rank one group G = A,B acting cubically on a module V , this means ( V, A, A,A) = 0 but ( V, G, G,G) = 0. We have to distinguish whether the group A0 := CA(( V,A)) CA(V/CV (A)) is trivial or not. We show that if A0 is trivial, G is a ......Loe edasi...
