Proceedings from a Simons Center workshop delve into advances in vertex operator algebras, conformal field theory, categorification, low-dimensional topology, and representation theory. Bridging string theory with quantum gravity and quantum groups,...Loe edasi...
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 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...
This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26-27, 2022. The articles give a snapshot survey of the current topics surrounding the mathem...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...
We define higher quantum Airy structures as generalizations of the KontsevichSoibelman quantum Airy structures by allowing differential operators of arbitrary order (instead of only quadratic). We construct many classes of examples of higher quantum...Loe edasi...
Our main result is that the Huang-Kirillov-Lepowsky isomorphism of categories between local (super)algebra modules and extended vertex operator (super)algebra modules is also an isomorphism of braided monoidal (super)categories. We show that inducti...Loe edasi...
Contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 18-20, 2022. The articles present some developments of the theory of diffeologies applied in a range of topics, fro...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...
The weight multiplicities of finite dimensional simple Lie algebras can be computed individually using various methods. Still, it is hard to derive explicit closed formulas. Similarly, explicit closed formulas for the multiplicities of maximal weigh...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...
Many of the deep results of integrable models in field theory and statistical mechanics are intimately related in one way or another to the understanding of local operators of the model, say Jimbo, Miwa, and Smirnov. They expound upon the structu...Loe edasi...
The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subj...Loe edasi...
Isaksen presents a detailed analysis of two complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over...Loe edasi...
(Ilmumisaeg: 30-Oct-2018, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470436803)
The objective of representation theory is to investigate the different ways that a given algebraic object--such as an algebra, a group, or a Lie algebra--can act on a vector space, says Lorenz. Drawing on his lecture notes for a two-semester grad...Loe edasi...
Six papers document an October 2016 special session in Denver that preceded a mini-conference on vertex algebras and geometry. They cover strongly homotopy chiral algebroids, associated varieties and Higgs branches: a survey, vertex rings and the...Loe edasi...
The gathering in Syracuse, New York, in August 2016 began with a workshop of six short courses of three hours each, then transformed into a five-day conference with about 150 research presentations. The 14 workshop notes, plenary talks, and invit...Loe edasi...
Consisting of the proceedings of a conference of the same name, held in August 2015 in Notre Dame, Indiana, this volume contains 14 articles and one expository article with open problems. It commemorates the work of James Lepowsky and Robert Wils...Loe edasi...
