Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/1849
Title: | Invariants of finite reflection groups |
Authors: | Flatto, Leopold Zlot, William Newman, Donald Wiener, Margaret Mary |
Keywords: | Mathematics. |
Issue Date: | 1968 |
Publisher: | ProQuest Dissertations & Theses |
Citation: | Wiener, M. M. (1968). Invariants of finite reflection groups (Publication No. 302362380) [Doctoral dissertation, Yeshiva University]. Source: Dissertation Abstracts International, Volume: 29-02, Section: B, page: 6940. |
Abstract: | The invariants of a finite reflection group acting on an n dimensional vector space over a field of characteristic zero have an integrity basis or n invariants. If the underlying field is real or complex this property is a characterization of the finite reflection groups. In this thesis the above statement is proved and we give a method for computing the degrees of the members of the basis. __The construction of a basic set of invariants is shown to be related to the solution of a certain mean value problem. Considerations of this mean value problem lead to a conjecture yielding an explicit construction of a basic set of invariants. The conjecture is verified for most of the irreducible finite reflection groups. |
Description: | Doctoral dissertation, PhD / YU only |
URI: | https://ezproxy.yu.edu/login?url=http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:6810991 https://hdl.handle.net/20.500.12202/1849 |
ISBN: | 9798641390888 |
Appears in Collections: | Belfer Graduate School of Science Dissertations 1962 - 1978 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Wiener - Invariants of Finite Reflection Groups YU only.pdf Restricted Access | 10.43 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.