Download or read book Generic Representations of Parabolic Subgroups of the Classical Groups written by Alexander Dvorsky and published by . This book was released on 1996 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 1976 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: All the irreducible unitary representations are found, in an explicit way, for the maximal parabolic subgroups in the various classical series of real and complex Lie groups. In each case, the nilradical is similar to the Heisenberg group, and its representations come out of the Kirillov orbit method. Then the representations of the parabolic subgroup are worked out from Mackey's little group method. The little group usually belongs to a different classical series--but with smaller matrices--so the end result in each series is a recursive statement involving several series.

Download or read book Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups written by A. K. Bousfield and published by . This book was released on 1976 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Unitary representations of maximal parabolic subgroups of the classical groups written by Joseph A. Wolf and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Maximal Subgroups of Classical Algebraic Groups written by Gary M. Seitz and published by American Mathematical Soc.. This book was released on 1987 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let [italic]V be a finite dimensional vector space over an algebraically closed field of characteristic p [greater than] 0 and let G = SL([italic]V), Sp([italic]V), or SO([italic]V). The main result describes all closed, connected, overgroups of [italic]X in SL([italic]V), assuming [italic]X is a closed, connected, irreducible subgroup of G.

Download or read book The Descent Map from Automorphic Representations of GL n to Classical Groups written by David Ginzburg and published by World Scientific. This book was released on 2011 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction. 1.1. Overview. 1.2. Formulas for the Weil representation. 1.3. The case, where H is unitary and the place v splits in E -- 2. On certain residual representations. 2.1. The groups. 2.2. The Eisenstein series to be considered. 2.3. L-groups and representations related to P[symbol]. 2.4. The residue representation. 2.5. The case of a maximal parabolic subgroup (r = 1). 2.6. A preliminary lemma on Eisenstein series on GL[symbol]. 2.7. Constant terms of E(h, f[symbol]). 2.8. Description of W(M[symbol], D[symbol]). 2.9. Continuation of the proff of Theorem 2.1 -- 3. Coefficients of Gelfand-Graev type, of Fourier-Jacobi type, and descent. 3.1. Gelfand-Graev coefficients. 3.2. Fourier-Jacobi coefficients. 3.3. Nilpotent orbits. 3.4. Global integrals representing L-functions I. 3.5. Global integrals representing L-functions II. 3.6. Definition of the descent. 3.7. Definition of Jacquet modules corresponding to Gelfand-Graev characters. 3.8. Definition of Jacquet modules corresponding to Fourier-Jacobi characters -- 4. Some double coset decompositions. 4.1. The space Q[symbol]. 4.2. A set of representatives for Q[symbol]. 4.3. Stabilizers. 4.4. The set Q\h[symbol] -- 5. Jacquet modules of parabolic inductions : Gelfand-Graev characters. 5.1. The case where K is a field. 5.2. The case K = k[symbol]k -- 6. Jacquet modules of parabolic inductions : Fourier-Jacobi characters. 6.1. The case where K is a field. 6.2. The case K = k[symbol]k -- 7. The tower property. 7.1. A general lemma on "exchanging roots". 7.2. A formula for constant terms of Gelfand-Graev coefficients. 7.3. Global Gelfand-Graev models for cuspidal representations. 7.4. The general case : H is neither split nor quasi-split. 7.5. Global Gelfand-Graev models for the residual representations E[symbol]. 7.6. A formula for constant terms of Fourier-Jacobi coefficients. 7.7. Global Fourier-Jacobi models for cuspidal representations. 7.8. Global Fourier-Jacobi models for the residual representations E[symbol]

Download or read book The Classical Groups written by Hermann Weyl and published by Princeton University Press. This book was released on 1946 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author discusses symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are important in understanding the group-theoretic structure of quantum mechanics.

Download or read book A Classification of Parabolic Subgroups of Classical Groups with a Finite Number of Orbits on the Unipotent Radical written by Lutz Hille and published by . This book was released on 1997 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Non Generic Finite Subgroups of Exceptional Algebraic Groups written by Alastair J. Litterick and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Simple Supercuspidal L Packets of Quasi Split Classical Groups written by Masao Oi and published by American Mathematical Society. This book was released on 2024-06-07 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book The Arcata Conference on Representations of Finite Groups Part 1 written by Paul Fong and published by American Mathematical Soc.. This book was released on 1987 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2003 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Download or read book Representations of Finite Groups of Lie Type written by François Digne and published by Cambridge University Press. This book was released on 2020-03-05 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.

Download or read book The Subgroup Structure of the Finite Classical Groups written by Peter B. Kleidman and published by Cambridge University Press. This book was released on 1990-04-26 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2006 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Parabolic Subgroups of Algebraic Groups and Induction written by David C. Vella and published by . This book was released on 1986 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: