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BOOKS by A. Borel

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Compactifications of Symmetric and Locally Symmetric Spaces

Compactifications of Symmetric and Locally Symmetric Spaces more books like this

by Armand Borel, Lizhen Ji

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications, it is necessary to form an ...

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Linear Algebraic Groups

Linear Algebraic Groups more books like this

by Armand Borel

Presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. This title also presents solvable groups, general properties of linear algebraic groups, and Chevally's structure theory of reductive groups over algebraically closed groundfields.

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Seminar on transformation groups

Seminar on transformation groups more books like this

by A. Borel

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Intersection Cohomology

Intersection Cohomology more books like this

by Armand Borel

This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that ...

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Automorphic Forms on Sl2 (R)

Automorphic Forms on Sl2 (R) more books like this

by Armand Borel

This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this ...

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Almost Commuting Elements in Compact Lie Groups

Almost Commuting Elements in Compact Lie Groups more books like this

by Peter W Niemann, Armand Borel

We describe the components of the moduli space of conjugacy classes of commuting pairs and triples of elements in a compact Lie group. This description is in te' of the extended Dynkin diagram of the simply connected cover, together with the coroot integers and the action of the fundamental group. In the case of three commuting elements, we ...

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Essays in the History of Lie Groups and Algebraic Groups

Essays in the History of Lie Groups and Algebraic Groups more books like this

by Armand Borel

Algebraic groups and Lie groups are important in most major areas of mathematics, occuring in diverse roles such as the symmetries of differential equations and as central figures in the Langlands program for number theory. In this book, Professor Borel looks at the development of the theory of Lie groups and algebraic groups, highlighting the ...

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Oeuvres - Collected Papers: Volume 1: 1948-1958. Volume 2: 1959-1968. Volume 3: 1969-1982 more books like this

by Armand Borel

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Basement Membranes: Cell and Molecular Biology

Basement Membranes: Cell and Molecular Biology more books like this

by Nicholas A Kefalides, Jacques P Borel

This book brings together the most important research developments of the past 45 years that have enriched our knowledge and contributed to a better understanding of the biochemistry and cell and molecular biology of basement membranes. It describes the studies that shed light on the ultrastructural organization, the biosynthesis of the ...

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Seminar on Algebraic Groups and Related Finite Groups

Seminar on Algebraic Groups and Related Finite Groups more books like this

by Armand Borel, R W Carter, Charles W Curtis

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Seminar on Algebraic Groups and Related Finite Groups more books like this

by Roger W Carter, Charles W Curtis, Armand Borel

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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups more books like this

by Armand Borel, Nolan R Wallach

It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in ...

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Seminar on Complex Multiplication: Seminar Held at the Institute for Advanced Study, Princeton, N.Y., 1957-58

by A Borel, S Chowla, C S Herz

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Emmy Noether in Bryn Mawr: Proceedings of a Symposium in Honor of Emmy Noether's 100th Birthday more books like this

by Bhama Srinivasan (Editor), Judith D Sally (Editor), A Borel (Contributions by)

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Oeuvres - Collected Papers: Volume IV: 1983-1999 more books like this

by Armand Borel

This volume contains the papers published by A. Borel from 1983 to 1999. About half of them are research papers, written singly or in collaboration, on various topics pertaining mainly to algebraic or Lie groups, homogeneous spaces, arithmetic groups (L2-spectrum, automorphic forms, cohomology and covolumes), L2-cohomology of symmetric or locally ...

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Algebraic D-Modules more books like this

by Armand Borel

Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent, holonomic, and regular holonomic D-modules, and of the Riemann-Hilbert correspondence. The theory of Algebraic D-modules has found remarkable applications ...

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Cohomologie Des Espaces Localement Compacts D'Apres J. Leray

by Armand Borel

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Representations de Groupes Localement Compacts; Lnm Vol. 276

by A Borel

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Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion more books like this

by M A Lifshits, Armand Borel

We consider the Volterra integral operator $T_{\rho,\psi}:L_p(0,\infty)\to L_q(0,\infty)$ for $1 0$. We also obtain similar sharp estimates for the approximation numbers of $T_{\rho,\psi}$, thus extending former results due to Edmunds et al. and Evans et al..The entropy estimates are applied to investigate the small ball behaviour of weighted ...

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Topics in the Homology Theory of Fibre Bundles: Lectures Given at the University of Chicago, 1954

by Armand Borel, Edward Halpern (Notes by)

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Oeuvres =: Collected Papers more books like this

by Armand Borel

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