Open problems in algebraic groups
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Open problems in algebraic groups proceedings of the twelfth international conference by Conference on "Algebraic Groups and Their Representations" (1983 Katata, Japan)

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Published by Taniguchi Foundation in [Japan .
Written in English

Subjects:

  • Groups, Theory of -- Problems, exercises, etc. -- Congresses

Book details:

Edition Notes

Includes bibliographies.

StatementConference on "Algebraic Groups and Their Representations" held at Katata, August 29-September 3, 1983 ; Ryoshi Hotta, Noriaki Kawanaka, organizing committee.
ContributionsHotta, Ryoshi, Kawanaka, Noriaki, Taniguchi Kōgyō Shōreikai.
Classifications
LC ClassificationsQA171 C6788 1983
The Physical Object
Paginationv, 20 p.
Number of Pages20
ID Numbers
Open LibraryOL14087241M

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The first chapter is an introduction to the algebraic approach to solving a classic geometric problem. It develops concepts that are useful and interesting on their own, like the Sylvester matrix and resultants of polynomials. It con-cludes with a discussion of how problems in robots and computer vision can be framed in algebraic terms. We present major open problems in algebraic coding theory. Some of these problems are classified as Hilbert problems in that they are founda-tional questions whose solutions would lead to further. Publisher Summary. This chapter discusses selected ordered space problems. A generalized ordered space (a GO-space) is a triple (X, Ƭ. Imp.¹: Importance (Low, Medium, High, Outstanding) Rec.²: Recommended for undergraduates. Note: Resolved problems from this section may be found in Solved problems.

This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in / Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic by: open sets, J. Math. Kyoto Univ. 20 () 11–42], and [T. Sugie, Characterization of the affine plane and the affine threespace, in Topological Methods in Algebraic Transformation Groups (editors H. Kraft, T. Petrie, and G. Size: KB. Formalize what remains to be done from chapters 8, 10, and 11 of the book. In particular, develop the Higher Inductive-Inductive real numbers in Coq (the basics of the surreal numbers have been done). In general, this file contains a Coq outline of the book. Instructions for how to contribute are here. Other lists of open problems. The Mathematical Sciences Research Institute (MSRI), founded in , is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the.

In Open Problems in Algebraic Geometry ([5]), Richard Pink suggested constructing a general lower bound for the Euler characteristic of a constructible F p-´ etale sheaf on a characteristic-p. These two classes of algebraic groups have a trivial intersection: If an algebraic group is both an Abelian variety and a linear group, then it is the identity group. The study of arbitrary algebraic groups reduces to a great extent to the study of Abelian varieties and linear groups.   Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. are to introduce the interested reader to the methods and problems of arithmetic geometry and at the same time discuss open problems of interest for. the problems. A word on the indexes: there are two of them. The first index contains terms that are mentioned outside the problems, one may consult this index to find information on a particular subject. The second index contains terms that are mentioned in the problems, one may consult this index to locate problems concerning ones favorite.