Nilpotent Lie Groups
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Quantization On Nilpotent Lie Groups
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Author : Veronique Fischer
language : en
Publisher: Birkhäuser
Release Date : 2016-03-08
Quantization On Nilpotent Lie Groups written by Veronique Fischer and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-08 with Mathematics categories.
This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
Nilpotent Lie Groups
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Author : Roe W. Goodman
language : en
Publisher: Springer
Release Date : 2006-11-15
Nilpotent Lie Groups written by Roe W. Goodman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Representations Of Nilpotent Lie Groups And Their Applications Volume 1 Part 1 Basic Theory And Examples
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Author : Laurence Corwin
language : en
Publisher: Cambridge University Press
Release Date : 1990-08-30
Representations Of Nilpotent Lie Groups And Their Applications Volume 1 Part 1 Basic Theory And Examples written by Laurence Corwin 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 1990-08-30 with Mathematics categories.
The first exposition of group representations and harmonic analysis for graduates for over twenty years.
Nilpotent Lie Groups
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Author : Roe W. Goodman
language : en
Publisher:
Release Date : 2014-01-15
Nilpotent Lie Groups written by Roe W. Goodman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Lecture Notes In Mathematics
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Author :
language : en
Publisher:
Release Date : 1964
Lecture Notes In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Differential equations, Hypoelliptic categories.
Representations Of Nilpotent Lie Groups And Their Applications
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Author : Frederick P. Greenleaf
language : en
Publisher:
Release Date : 1990
Representations Of Nilpotent Lie Groups And Their Applications written by Frederick P. Greenleaf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Nilpotent Lie Algebras
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Author : M. Goze
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Nilpotent Lie Algebras written by M. Goze 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 2013-11-27 with Mathematics categories.
This volume is devoted to the theory of nilpotent Lie algebras and their applications. Nilpotent Lie algebras have played an important role over the last years both in the domain of algebra, considering its role in the classification problems of Lie algebras, and in the domain of differential geometry. Among the topics discussed here are the following: cohomology theory of Lie algebras, deformations and contractions, the algebraic variety of the laws of Lie algebras, the variety of nilpotent laws, and characteristically nilpotent Lie algebras in nilmanifolds. Audience: This book is intended for graduate students specialising in algebra, differential geometry and in theoretical physics and for researchers in mathematics and in theoretical physics.
Unipotent And Nilpotent Classes In Simple Algebraic Groups And Lie Algebras
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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-01-25
Unipotent And Nilpotent Classes In Simple Algebraic Groups And Lie Algebras written by Martin W. Liebeck 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 2012-01-25 with Mathematics categories.
This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras. These topics have been an important area of study for decades, with applications to representation theory, character theory, the subgroup structure of algebraic groups and finite groups, and the classification of the finite simple groups. The main focus is on obtaining full information on class representatives and centralizers of unipotent and nilpotent elements. Although there is a substantial literature on this topic, this book is the first single source where such information is presented completely in all characteristics. In addition, many of the results are new--for example, those concerning centralizers of nilpotent elements in small characteristics. Indeed, the whole approach, while using some ideas from the literature, is novel, and yields many new general and specific facts concerning the structure and embeddings of centralizers.
Lattices Of Nilpotent Lie Groups And A Duality For Nilpotent Lie Algebras
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Author : Leon Paul Polek
language : en
Publisher:
Release Date : 1972
Lattices Of Nilpotent Lie Groups And A Duality For Nilpotent Lie Algebras written by Leon Paul Polek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Group theory categories.
Nilpotent Orbits In Semisimple Lie Algebra
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Author : William.M. McGovern
language : en
Publisher: Routledge
Release Date : 2017-10-19
Nilpotent Orbits In Semisimple Lie Algebra written by William.M. McGovern and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.
Through the 1990s, a circle of ideas emerged relating three very different kinds of objects associated to a complex semisimple Lie algebra: nilpotent orbits, representations of a Weyl group, and primitive ideals in an enveloping algebra. The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory. The techniques used are elementary and in the toolkit of any graduate student interested in the harmonic analysis of representation theory of Lie groups. The book develops the Dynkin-Konstant and Bala-Carter classifications of complex nilpotent orbits, derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits, discusses basic topological questions, and classifies real nilpotent orbits. The classical algebras are emphasized throughout; here the theory can be simplified by using the combinatorics of partitions and tableaux. The authors conclude with a survey of advanced topics related to the above circle of ideas. This book is the product of a two-quarter course taught at the University of Washington.