Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory write by Roger Howe. This book was released on 2007. Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory available in PDF, EPUB and Kindle. This volume carries the same title as that of an international conference held at the National University of Singapore, 9OCo11 January 2006 on the occasion of Roger E. Howe''s 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe''s mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications. Sample Chapter(s). Foreword (21 KB). Chapter 1: The Theta Correspondence Over R (342 KB). Contents: The Theta Correspondence over R (J Adams); The Heisenberg Group, SL (3, R), and Rigidity (A iap et al.); Pfaffians and Strategies for Integer Choice Games (R Evans & N Wallach); When is an L -Function Non-Vanishing in Part of the Critical Strip? (S Gelbart); Cohomological Automorphic Forms on Unitary Groups, II: Period Relations and Values of L -Functions (M Harris); The Inversion Formula and Holomorphic Extension of the Minimal Representation of the Conformal Group (T Kobayashi & G Mano); Classification des S(r)ries Discr tes pour Certains Groupes Classiques p- Adiques (C Moeglin); Some Algebras of Essentially Compact Distributions of a Reductive p -Adic Group (A Moy & M Tadic); Annihilators of Generalized Verma Modules of the Scalar Type for Classical Lie Algebras (T Oshima); Branching to a Maximal Compact Subgroup (D A Vogan, Jr.); Small Semisimple Subalgebras of Semisimple Lie Algebras (J F Willenbring & G J Zuckerman). Readership: Graduate students and research mathematicians in harmonic analysis, group representations, automorphic forms and invariant theory."
Lie Theory and Its Applications in Physics
Lie Theory and Its Applications in Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Theory and Its Applications in Physics write by Vladimir Dobrev. This book was released on 2013-04-09. Lie Theory and Its Applications in Physics available in PDF, EPUB and Kindle. Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics” held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.
The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$
The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ write by Toshiyuki Kobayashi. This book was released on 2011. The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ available in PDF, EPUB and Kindle. The authors introduce a generalization of the Fourier transform, denoted by $\mathcal{F}_C$, on the isotropic cone $C$ associated to an indefinite quadratic form of signature $(n_1,n_2)$ on $\mathbb{R}^n$ ($n=n_1+n_2$: even). This transform is in some sense the unique and natural unitary operator on $L^2(C)$, as is the case with the Euclidean Fourier transform $\mathcal{F}_{\mathbb{R}^n}$ on $L^2(\mathbb{R}^n)$. Inspired by recent developments of algebraic representation theory of reductive groups, the authors shed new light on classical analysis on the one hand, and give the global formulas for the $L^2$-model of the minimal representation of the simple Lie group $G=O(n_1+1,n_2+1)$ on the other hand.
Geometry and Analysis of Automorphic Forms of Several Variables
Geometry and Analysis of Automorphic Forms of Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and Analysis of Automorphic Forms of Several Variables write by Yoshinori Hamahata. This book was released on 2012. Geometry and Analysis of Automorphic Forms of Several Variables available in PDF, EPUB and Kindle. This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda''s 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource for researchers who seek a broader view and for students who are beginning to explore automorphic form.
Mathematics Matters in Education
Mathematics Matters in Education - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics Matters in Education write by Yeping Li. This book was released on 2017-10-03. Mathematics Matters in Education available in PDF, EPUB and Kindle. This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.
