Higher Spinor Classes

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An Introduction To Clifford Algebras And Spinors

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Author : Jayme Vaz Jr.
language : en
Publisher: Oxford University Press
Release Date : 2016

An Introduction To Clifford Algebras And Spinors written by Jayme Vaz Jr. and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.

This book is unique compared to the existing literature. It is very didactical and accessible to both students and researchers, without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications.

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.

Hilbert S Projective Metric And Iterated Nonlinear Maps

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Author : Roger D. Nussbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Hilbert S Projective Metric And Iterated Nonlinear Maps written by Roger D. Nussbaum 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 1988 with Mathematics categories.

Wavelet Methods For Pointwise Regularity And Local Oscillations Of Functions

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Author : Stéphane Jaffard
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Wavelet Methods For Pointwise Regularity And Local Oscillations Of Functions written by Stéphane Jaffard 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.

We investigate several topics related to the local behavior of functions: pointwise Hölder regularity, local scaling invariance and very oscillatory "chirp-like" behaviors. Our main tool is to relate these notions to two-microlocal conditions which are defined either on the Littlewood-Paley decomposition or on the wavelet transform. We give characterizations and the main properties of these two-microlocal spaces and we give several applications, such as bounds on the dimension of the set of Hölder singularities of a function, Sobolev regularity of trace functions, and chirp expansions of specific functions.

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.

An Arithmetic Riemann Roch Theorem For Singular Arithmetic Surfaces

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Author : Wayne Aitken
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

An Arithmetic Riemann Roch Theorem For Singular Arithmetic Surfaces written by Wayne Aitken 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.

The following gives a development of Arakelov theory general enough to handle not only regular arithmetic surfaces but also a large class of arithmetic surfaces whose generic fiber has singularities. This development culminates in an arithmetic Riemann-Roch theorem for such arithmetic surfaces. The first part of the memoir gives a treatment of Deligne's functorial intersection theory, and the second develops a class of intersection functions for singular curves which behaves analogously to the canonical Green's functions introduced by Arakelov for smooth curves.

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.

Classification Of Direct Limits Of Even Cuntz Circle Algebras

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Author : Huaxin Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Classification Of Direct Limits Of Even Cuntz Circle Algebras written by Huaxin Lin 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.

We prove a classification theorem for purely infinite C∗-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.

Advances In Cryptology Asiacrypt 2024

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Author : Kai-Min Chung
language : en
Publisher: Springer Nature
Release Date : 2024-12-13

Advances In Cryptology Asiacrypt 2024 written by Kai-Min Chung and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-13 with Computers categories.

The 9 volume set LNCS 15484-15492 constitutes the refereed proceedings of the 30th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2024, which took place in Kolkata, India, during December 9–13, 2024. The 127 full papers included in the proceedings were carefully reviewed and selected from 433 submissions. They were organized in topical sections as follows: Advances Primitives; homomorphic encryption; digital signatures; public-key cryptography; pairing-based cryptography, threshold cryptography; isogeny-based cryptography; post-quantum cryptography; secure data structures; lattice-based cryptography; lattice assumptions; key exchange protocols; succinct arguments; verifiable computation, zero-knowledge protocols; secure multiparty computation; blockchain protocols; information theoretic cryptography; secret sharing; security against physical attacks; cryptanalysis on symmetric-key schemes; cryptanalysis on public-key schemes; fault attacks and side-channel analysis; cryptanalysis on various problems; quantum cryptanalysis; quantum cryptography; symmetric-key cryptography.

Clifford Algebras And Spinors

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Author : Pertti Lounesto
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-03

Clifford Algebras And Spinors written by Pertti Lounesto and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-03 with Mathematics categories.

In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.