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Introduction to Soergel Bimodules
This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research. This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.
Tensor Categories
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving...
Categorical, Combinatorial and Geometric Representation Theory and Related Topics
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 Virginia in May 2016; University of Georgia in June 2018; Louisiana State University in May 2019; and College of Charleston in October 2021. Some of the articles by experts in the field describe recent developments while others include new results in categorical, combinatorial, and geometric representation theory of algebraic groups, Lie (super) algebras, and quantum groups, as well as on some related topics. The survey articles will be beneficial to junior researchers. This book will be useful to any researcher working in Lie theory and related areas.
Nanotechnology-based Sensors for Detection of Environmental Pollution
Nanotechnology-based Sensors for Efficient Detection of Environmental Pollution discusses the use of nanotechnology to generate sensors capable of performing efficient detection of different types of environmental pollutants. Nanomaterial's characteristics such as large surface area, good reactivity, and possibility to suffer chemical surface modification to recognize different types of molecules are useful, especially to perform the detection of specific environmental pollutants. Innovative and efficient ways to detect environmental pollution are urgently needed for sustainability and the nanotechnology field has an enormous potential to offer strategic solutions. Nanotechnology-based senso...
My Life and Years in Kashmir Politics
The Book Traces The Vicissitudes Of An Eventful Life And Gives A Ringside View Of The Political Developments In Kashmir Till The Sos.
Advances in Natural Dyes for Environmental Protection
Synthetic dyes, especially those used in the textile industry, are huge contributors to the damaging effects on ecosystems worldwide due to their toxic and non-biodegradable nature. Natural dyes, on the other hand, are interesting eco-friendly alternatives to synthetic ones. This new volume discusses the environmental pollution caused by dyes, presents advances in natural dyes, considers their advantages over synthetic dyes, and offers solutions to the difficulties related to the use of natural dyes. The volume also offers effective remediation strategies for the management of both natural and harmful synthetic dyes in the environment. Biotechnological tools and bioremediation strategies pla...
Emerging Technologies for Computing, Communication and Smart Cities
This book presents best selected papers presented at the Second International Conference on Emerging Technologies for Computing, Communication and Smart Cities (ETCCS 2021) held on 21-22 August 2021 at BFCET, Punjab, India. IEI India members supported externally. It is co-organized by Southern Federal University, Russia; University of Jan Wyżykowski (UJW), Polkowice, Poland, SD College of Engineering & Technology, Muzaffarnagar Nagar, India as an academic partner and CSI, India for technical support. The book includes current research works in the areas of network and computing technologies, wireless networks and Internet of things (IoT), futuristic computing technologies, communication technologies, security and privacy.
Insect Development
The publication of the extensive 7-volume work Comprehensive Molecular Insect Science has provided library customers and their end-users with a complete reference encompassing important developments and achievements in modern insect science including reviews on the ecdysone receptor, lipocalins, and bacterial toxins. This derivative from the major reference work, Insect Development: Metamorphosis, Molting and Morphogenesis, presents a new opportunity for the end user who desires to purchase a comprehensive yet affordable work on these important aspects of insect development. Timeless articles by a host of respected contributors in the field cover such topics as embryonic development, hormona...
