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Non-Additive Exact Functors and Tensor Induction for Mackey Functors
First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this section is an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category. Next those results are used to define various functors of generalized tensor induction, associated to finite bisets, between categories attached to finite groups. This includes a definition of tensor induction for Mackey functors, for cohomological Mackey functors, for p-permutation modules and algebras. This also gives a single formalism of bisets for restriction, inflation, and ordinary tensor induction for modules.
Official Register
None
Society, Ethics, and the Law: A Reader
Society, Ethics, and the Law: A Reader is an engaging, thoughtful, and academic text designed to help students make connections to ethical issues using real-world examples and thought-provoking discussion questions.
Conscious Leadership
A WALL STREET JOURNAL BESTSELLER! From Whole Foods CEO John Mackey and his coauthors, a follow-up to groundbreaking bestseller Conscious Capitalism—revealing what it takes to lead a purpose-driven, sustainable business. John Mackey started a movement when he founded Whole Foods, bringing natural, organic food to the masses and not only changing the market, but breaking the mold. Now, for the first time, Conscious Leadership closely explores the vision, virtues, and mindset that have informed Mackey’s own leadership journey, providing a roadmap for innovative, value-based leadership—in business and in society. Conscious Leadership demystifies strategies that have helped Mackey shepherd Whole Foods through four decades of incredible growth and innovation, including its recent sale to Amazon. Each chapter will challenge you to rethink conventional business wisdom through anecdotes, case studies, profiles of conscious leaders, and innovative techniques for self-development, culminating in an empowering call to action for entrepreneurs and trailblazers—to step up as leaders who see beyond the bottom line.
Stable and Unstable Homotopy
This volume presents the proceedings of workshops on stable homotopy theory and on unstable homotopy theory held at The Fields Institute as part of the homotopy program during the year 1996. The papers in the volume describe current research in the subject, and all included works were refereed. Rather than being a summary of work to be published elsewhere, each paper is the unique source for the new material it contains. The book contains current research from international experts in the subject area, and presents open problems with directions for future research.
House documents
None
Sistergirl Devotions
Using Scripture, conventional wisdom and stories from the African-American community, a recognized African-American author speaks to the unique needs of African-American women who place a high value on working life. Original.
An Extension of Mackey's Method to Banach *-Algebraic Bundles
The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In order to dispense with separability we shall follow the topological methods of Blattner rather than Mackey's more detailed measure-theoretic analysis. Except for the last section, Part II of this memoir is in fact a rewriting of much of Blattner's papers (1963), making the modifications necessary in the larger context of bundles. The last Section 17 gives an account of the 'Mackey obstruction' in the nonseparable case, leading to an analogue (Theorem 17.2) of Theorem 8.2 of Mackey's paper for homogeneous Banach *-algebraic bundles, without separability restrictions. This is the culminating point of the present memoir.
Topological Vector Spaces
Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are not discussed in detail here, since the book is mainly addressed to those readers who wish to go beyond the introductory level. Each of the chapters is preceded by an introduction and followed by exercises, which in turn are devoted to further results and supplements, in particular, to examples and counter-examples, and hints have been given where appropriate. This second edition has been thoroughly revised and includes a new chapter on C^* and W^* algebras.
