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The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras


The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras
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The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras


The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras
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Author : Hans Plesner Jakobsen
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras written by Hans Plesner Jakobsen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real forms, defined by anti-linear anti-involutions, may occur. Although there have been many investigations for some special superalgebras, this appears to be the first systematic study of the problem.



The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras


The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras
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Author : Hans P. Jakobsen
language : en
Publisher:
Release Date : 1989

The Full Set Of Unitarizable Highest Weight Modules Of Basic Classical Lie Superalgebras written by Hans P. Jakobsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




Representation Theory Of Lie Groups And Lie Algebras Proceedings Of Fuji Kawaguchiko Conference


Representation Theory Of Lie Groups And Lie Algebras Proceedings Of Fuji Kawaguchiko Conference
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Author : Takeshi Kawazoe
language : en
Publisher: World Scientific
Release Date : 1992-08-07

Representation Theory Of Lie Groups And Lie Algebras Proceedings Of Fuji Kawaguchiko Conference written by Takeshi Kawazoe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-07 with categories.


The proceedings in this volume covers recent developments of representation theory of real Lie groups, Lie algebras, harmonic analysis on homogeneous spaces, their applications and related topics.



Supersymmetry In Mathematics And Physics


Supersymmetry In Mathematics And Physics
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Author : Sergio Ferrara
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-28

Supersymmetry In Mathematics And Physics written by Sergio Ferrara and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-28 with Mathematics categories.


Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised.



Higher Multiplicities And Almost Free Divisors And Complete Intersections


Higher Multiplicities And Almost Free Divisors And Complete Intersections
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Author : James Damon
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Higher Multiplicities And Almost Free Divisors And Complete Intersections written by James Damon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements and generic arrangements. Associated to the singularities of this class is a "singular Milnor fibration" which has the same homotopy properties as the Milnor fibration for isolated singularities. This memoir deduces topological properties of singularities in a number of situations including: complements of hyperplane arrangements, various nonisolated complete intersections, nonlinear arrangements of hypersurfaces, functions on discriminants, singularities defined by compositions of functions, and bifurcation sets.



Symmetry In Geometry And Analysis Volume 2


Symmetry In Geometry And Analysis Volume 2
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Author : Michael Pevzner
language : en
Publisher: Springer Nature
Release Date : 2025-02-10

Symmetry In Geometry And Analysis Volume 2 written by Michael Pevzner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-10 with Mathematics categories.


Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades. This second volume of the Festschrift contains original articles on analytic methods in representation theory of reductive Lie groups and related topics. Contributions are by Salem Ben Saïd, Valentina Casarino, Paolo Ciatti, Jean-Louis Clerc, Jan Frahm, Joachim Hilgert, Toshihisa Kubo, Khalid Koufany, Quentin Labriet, Karl-Hermann Neeb, Yury Neretin, Gestur Ólafsson, Bent Ørsted, Toshio Oshima, Birgit Speh, Jorge Vargas, and Clemens Weiske.



Pseudofunctors On Modules With Zero Dimensional Support


Pseudofunctors On Modules With Zero Dimensional Support
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Author : I-Chiau Huang
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Pseudofunctors On Modules With Zero Dimensional Support written by I-Chiau Huang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


Pseudofunctors with values on modules with zero dimensional support are constructed over the formally smooth category and residually finite category. Combining those pseudofunctors, a pseudofunctor over the category whose objects are Noetherian local rings and whose morphisms are local with finitely generated residue field extensions is constructed.



Factorizing The Classical Inequalities


Factorizing The Classical Inequalities
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Author : Grahame Bennett
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Factorizing The Classical Inequalities written by Grahame Bennett and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, l[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach) sequence spaces, the norm of the injection being the best constant of the particular inequality. The inequalities of Hilbert, Hardy, and Copson all share the same space [italic capital]Y. That space -- alias [italic]ces([italic]p) -- is central to many celebrated inequalities, and thus is studied here in considerable detail.



Automorphisms Of The Lattice Of Recursively Enumerable Sets


Automorphisms Of The Lattice Of Recursively Enumerable Sets
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Author : Peter Cholak
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Automorphisms Of The Lattice Of Recursively Enumerable Sets written by Peter Cholak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


A version of Harrington's [capital Greek]Delta3-automorphism technique for the lattice of recursively enumerable sets is introduced and developed by reproving Soare's Extension Theorem. Then this automorphism technique is used to show two technical theorems: the High Extension Theorem I and the High Extension Theorem II. This is a degree-theoretic technique for constructing both automorphisms of the lattice of r.e. sets and isomorphisms between various substructures of the lattice.



Hilbert Modules Over Operator Algebras


Hilbert Modules Over Operator Algebras
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Author : Paul S. Muhly
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Hilbert Modules Over Operator Algebras written by Paul S. Muhly and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation copyright by Book News, Inc., Portland, OR