8 edition of **Metaplectic groups and Segal algebras** found in the catalog.

- 96 Want to read
- 16 Currently reading

Published
**1989**
by Springer-Verlag in Berlin, New York
.

Written in English

- Harmonic analysis.,
- Locally compact Abelian groups.,
- Segal algebras.

**Edition Notes**

Includes bibliographical references ([125]-126).

Statement | Hans Reiter. |

Series | Lecture notes in mathematics ;, 1382, Lecture notes in mathematics (Springer-Verlag) ;, 1382. |

Classifications | |
---|---|

LC Classifications | QA403 .R46 1989 |

The Physical Object | |

Pagination | xi, 126 p. ; |

Number of Pages | 126 |

ID Numbers | |

Open Library | OL2200029M |

ISBN 10 | 0387514171 |

LC Control Number | 89021603 |

José M. Gracia-Bondía, On the metaplectic representation in quantum field theory, Classical and quantum systems (Goslar, ), –, World Sci. R. Ranga Rao, The Maslov index on the simply connected covering group and the metaplectic representation, J. Funct. Anal. (), no. 1, –, MR93g, doi. Three of the leading figures in the field have composed this excellent introduction to the theory of Lie groups and Lie algebras. Together these lectures provide an elementary account of the theory that is unsurpassed. In the first part, Roger Carter concentrates on Lie algebras and root systems. In the second Graeme Segal discusses Lie by:

object which we consider is the Segal–Shale–Weil representation of the meta-plectic group. This representation originated in number theory and theoretical physics. We analyze its tensor products with ﬁnite dimensional representations, induce it to metaplectic structures deﬁned over . Buy Computations and Combinatorics in Commutative Algebra: EACA School, Valladolid (Lecture Notes in Mathematics) on FREE SHIPPING on qualified orders Computations and Combinatorics in Commutative Algebra: EACA School, Valladolid (Lecture Notes in Mathematics): Bigatti, Anna M., Gimenez, Philippe, Sáenz-de-Cabezón.

Loop groups, the simplest class of infinite dimensional Lie groups, have recently been the subject of intense study. This book gives a complete and self-contained account of what is known about them from a geometrical and analytical point of view, drawing together the many branches of mathematics from which current theory developed--algebra, geometry, analysis, combinatorics, and the Price: $ Then there is the representation theory of Lie groups, usually coupled with that of Lie algebras, famous as a subject of surpassing beauty and imposing scope. In this connection I might mention V. S. Varadarajan’s definitive book on this subject, i.e. his Lie Groups, Lie Algebras, and Their Representations. I am very fortunate to have been.

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These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups.

It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil.

Segal algebras; the Segal algebra G 1 (G).- Weil's unitary operators and the Segal algebra G 1 (G).- Weil's group of operators and related groups.- Vector spaces and quadratic forms ever local fields.- Properties of certain quadratic forms.- Weil operators for vector spaces over local fields.- The metaplectic group (local case); Segal continuity Get this from a library.

Metaplectic groups and Segal algebras. [Hans Reiter] -- These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A.

Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a. Additional Physical Format: Print version: Reiter, Hans, Metaplectic groups and Segal algebras. Berlin ; New York: Springer-Verlag, © Metaplectic Groups and Segal Algebras It is shown that A Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil.

Additive Group Haar Measure Topological Vector Space Inductive Limit Isometric Embedding These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm : Hans Reiter.

Metaplectic Groups and Segal Algebras. Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create lists, bibliographies and reviews: or Search WorldCat. Find items in libraries near you. Advanced Search Find a Library.

Metaplectic operators for finite abelian groups and ℝd Article in Indagationes Mathematicae 20(2) December with 31 Reads How we measure 'reads'. The Segal-Shale-Weil representation associates to a symplectic transformation of the Heisenberg group an intertwining operator, called metaplectic operator.

We develop an explicit construction of metaplectic operators for the Heisenberg group H(G) of a finite abelian group G, an important setting in finite time-frequency by: 6. The metaplectic group Mp (d) has a long and rich history; its definition goes back to I.

Segal and D. Shale, and its study has been taken up from an abstract viewpoint by A. Weil in connection with C. Siegel's work in number by: Cite this chapter as: Reiter H. () The metaplectic group (local case); Segal continuity.

In: Metaplectic Groups and Segal Algebras. Lecture Notes in Mathematics, vol Author: Hans Reiter. Banach Space Banach Algebra Haar Measure Closed Subgroup Discrete Subgroup These keywords were added by machine and not by the authors.

This process is experimental and the keywords may be updated as the learning algorithm : Hans Reiter. algebra associated to the symplectic algebra which is known as orthosym-plectic algebra O Sp(k + /, 1). In §4 we use the graded Lie algebra associated to give a new and very simple construction of the metaplectic representation of the 2-sheeted covering group Mp(m; R) of the real symplectic group Sp(m; R).

If k + / =File Size: 3MB. Jakobsen On a (no longer) new Segal algebra In order to deﬁne the space, let Gbe a locally compact (Hausdorﬀ) abelian group (e.g., the Euclidean space, a discrete abelian group, the torus, the ﬁeld of p-adic numbers or the adele ring of the rational ﬁeld Q) and let Gbbe its dual rmore, let E ωCited by: 4.

Cite this chapter as: Reiter H. () Weil’s unitary operators and the Segal algebra G 1 (G). In: Metaplectic Groups and Segal Algebras. Lecture Notes in Mathematics, vol Author: Hans Reiter. Books By Hans Reiter All Metaplectic Groups and Segal Algebras (Lecture Notes in Mathematics) by Hans Reiter Paperback.

$ L1-Algebras and Segal Algebras (Lecture Notes in Mathematics) by Hans Reiter. Lie algebras from Lie groups 4 Harmonic oscillators: Symplectic and metaplectic groups. 4 Conformal groups and conformal algebras 4 Cli ord algebras and spinors 4 Superconformal and Superpoincare algebras 4 Structure of semisimple Lie algebras.

4 Kac-Moody and a ne Lie algebras, and beyond 4 Highest weight. The first half of this book contains a very careful discussion of many of the topics we will be covering.

Carter, Roger, Segal, Graeme, and MacDonald, Ian, Lectures on Lie Groups and Lie Algebras, Cambridge University Press, This book is at the other extreme from the book by Knapp, providing a quick sketch of the subject.

metaplectic correction (in geometric quantization) metaplectic representation. References. Original references include. Andre Weil, Sur certains groupes d’opérateurs unitaires, Acta Math.

– (). Kashiwara; Michèle Vergne, On the Segal-Shale-Weil Representations and Harmonic Polynomials, Inventiones mathematicae ( two-form, we get a new algebra, the Heisenberg algebra.

The group of automor-phism of this algebra is now a symplectic group, and we again get a projective representation of this group, called the metaplectic representation. A similar discussion to ours of these topics can be found in [2] Chap a much more detailed one in [1].

Comments: 30 pages, 1 figure: Subjects: Representation Theory (); Differential Geometry (); Symplectic Geometry () MSC classes:: 22E46, 22E47 Cited by: 8.Infinite Dimensional Groups and Algebras in Quantum Physics.

Authors the author constructs the spin representations of the infinitesimal orthogonal group and the metaplectic representation of an infinite-dimensional symplectic group. *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.Metaplectic Groups and Segal Algebras avg rating — 0 ratings — published — 2 editions Want to Read saving 3/5(1).