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Author: Carlos Contou-Carrere
Publisher: CRC Press
ISBN: 1498768318
Category : Mathematics
Languages : en
Pages : 463
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Book Description
The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way. Smooth resolutions for these varieties are constructed in terms of Flag Configurations in k^(r+1) given by linear graphs called Minimal Galleries. In the second part, Schubert Schemes, the Universal Schubert Scheme and their Canonical Smooth Resolution, in terms of the incidence relation in a Tits relative building are constructed for a Reductive Group Scheme as in Grothendieck's SGAIII. This is a topic where algebra and algebraic geometry, combinatorics, and group theory interact in unusual and deep ways.
Author: Carlos Contou-Carrere
Publisher: CRC Press
ISBN: 1498768318
Category : Mathematics
Languages : en
Pages : 463
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Book Description
The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way. Smooth resolutions for these varieties are constructed in terms of Flag Configurations in k^(r+1) given by linear graphs called Minimal Galleries. In the second part, Schubert Schemes, the Universal Schubert Scheme and their Canonical Smooth Resolution, in terms of the incidence relation in a Tits relative building are constructed for a Reductive Group Scheme as in Grothendieck's SGAIII. This is a topic where algebra and algebraic geometry, combinatorics, and group theory interact in unusual and deep ways.
Author: Marcelo Aguiar
Publisher: Cambridge University Press
ISBN: 100924373X
Category : Mathematics
Languages : en
Pages : 897
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Book Description
The goal of this monograph is to develop Hopf theory in the setting of a real reflection arrangement. The central notion is that of a Coxeter bialgebra which generalizes the classical notion of a connected graded Hopf algebra. The authors also introduce the more structured notion of a Coxeter bimonoid and connect the two notions via a family of functors called Fock functors. These generalize similar functors connecting Hopf monoids in the category of Joyal species and connected graded Hopf algebras. This monograph opens a new chapter in Coxeter theory as well as in Hopf theory, connecting the two. It also relates fruitfully to many other areas of mathematics such as discrete geometry, semigroup theory, associative algebras, algebraic Lie theory, operads, and category theory. It is carefully written, with effective use of tables, diagrams, pictures, and summaries. It will be of interest to students and researchers alike.
Author: Jukka Jokilehto
Publisher: Routledge
ISBN: 1136398503
Category : Antiques & Collectibles
Languages : en
Pages : 369
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Book Description
A History of Architectural Conservation expands knowledge about the conservation of ancient monuments, works of art and historic buildings. It includes the origins of the interest in conservation within the European context, and the development of the concepts from Antiquity and the Renaissance to the present day. Jokilehto illustrates how this development has influenced international collaboration in the protection and conservation of cultural heritage, and how it has formed the principal concepts and approach to conservation and restoration in today's multi-cultural society. This book is based on archival research of original documents and the study of key restoration examples in countries that have influenced the international conservation movement. Accessible and of great interest to students and the general public it includes conservation trends in Europe, the USA, India, Iran and Japan.
Author: Liangzhu Leon Wang
Publisher: Springer Nature
ISBN: 9811998221
Category : Technology & Engineering
Languages : en
Pages : 2933
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Book Description
This book is a compilation of selected papers from the 5th International Conference on Building Energy and Environment (COBEE2022), held in Montreal, Canada, in July 2022. The work focuses on the most recent technologies and knowledge of building energy and the environment, including health, energy, urban microclimate, smart cities, safety, etc. The contents make valuable contributions to academic researchers, engineers in the industry, and regulators of buildings. As well, readers encounter new ideas for achieving healthy, comfortable, energy-efficient, resilient, and safe buildings.
Author: P. Townsend
Publisher: Springer
ISBN: 0230251056
Category : Business & Economics
Languages : en
Pages : 401
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Book Description
This book builds the case for a comprehensive social security system to be developed in all countries – to eliminate desperate conditions of poverty, reverse growing inequality and sustain economic growth. It gives the history of the rich countries in meeting poverty and shows how the strategies in the poor countries can be greatly improved.
Author: Michael Klug
Publisher: Springer Science & Business Media
ISBN: 3835093347
Category : Business & Economics
Languages : en
Pages : 211
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Book Description
Based on face to face interviews with decision makers of 16 German firms Michael Klug analyses the applied strategy and the motivation for market entry. He investigates different strategy theories for their suitability to explain the firms' strategy abroad and discusses the operational design including forms of market presence and marketing mix to realise a chosen strategy.
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Category : Music
Languages : en
Pages : 130
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Book Description
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Category : Congregational churches
Languages : en
Pages : 606
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Book Description
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Category : Congregational churches
Languages : en
Pages : 688
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Book Description
Vols. for 1828-1934 contain the Proceedings at large of the American Board of Commissioners for Foreign Missions.
Author: Diedrich Bruns
Publisher: Taylor & Francis
ISBN: 1000782190
Category : Architecture
Languages : en
Pages : 595
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Book Description
In this handbook, 60 authors, senior and junior educators, and researchers from six continents provide an overview of 200 years of landscape architectural education. They tell the stories of schools and people, of visions, and of experiments that constitute landscape architecture education heritage. Through taking an international perspective, the handbook centers inclusivity with an appreciation for how education develops in different political and societal contexts. Part I introduces the field of education history research, including research approaches and international research exchange. Spanning more than 100 years, Parts II and III investigate and compare early and recent histories of landscape architecture education in different countries and schools. In Part IV, the book offers new perspectives for landscape architecture education. Education research presents a substantial opportunity for challenging studies to increase the pedagogic and didactic, the academic and historic, and the disciplinary knowledge basis. Through a boundary-crossing approach, these studies about landscape architecture education provide a reference to teachers and students, policymakers, and administrators, who strive for innovative, holistic, and interdisciplinary practice.
