Invariant Theory of Finite Groups University of Leicester , March 2004
نویسنده
چکیده
This introductory lecture will be concerned with polynomial invariants of finite groups which come from a linear group action. We will introduce the basic notions of invariant theory, discuss the structural properties of invariant rings, comment on computational aspects, and finally present two applications from function theory and number theory.
منابع مشابه
Generalized Baer-Invariant of a Pair of Groups and the Direct Limit
In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...
متن کاملGeneralized Baer-Invariant of a Pair of Groups and Marginal Extension
In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups.
متن کاملThrough the Looking Glass
In 1986, when I first started to think about the invariant theory of finite groups, there existed only one superb reference, the article by R.P. Stanley[1]. Since that time, there has been an explosion of interest, with many books and articles published, and conferences held. For example, there are two books by Bernd Sturmfels[2],[3], David Benson’s book[4] Polynomial Invariants of Finite Group...
متن کاملBRITISH HYPERTENSION SOCIETY GUIDELINES Guidelines for management of hypertension: report of the fourth working party of the British Hypertension Society, 2004—BHS IV
B Williams, NR Poulter, MJ Brown, M Davis, GT McInnes, JF Potter, PS Sever and S McG Thom Department of Cardiovascular Sciences, Clinical Sciences Building, Leicester Royal Infirmary, University of Leicester, Leicester, UK; International Centre for Circulatory Health, Imperial College London & St Mary’s Hospital, London, UK; Clinical Pharmacology Unit, Addenbrooke’s Hospital, University of Camb...
متن کاملThe witness set of coexistence of quantum effects and its preservers
One of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. In this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. We also devote to characterizing bijective morphisms on quantum effects leaving the witness...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004