Download or read book The Minimal Polynomials of Unipotent Elements in Irreducible Representations of the Classical Groups in Odd Characteristic written by Irina D. Suprunenko and published by American Mathematical Soc.. This book was released on 2009-06-05 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The minimal polynomials of the images of unipotent elements in irreducible rational representations of the classical algebraic groups over fields of odd characteristic are found. These polynomials have the form $(t-1)^d$ and hence are completely determined by their degrees. In positive characteristic the degree of such polynomial cannot exceed the order of a relevant element. It occurs that for each unipotent element the degree of its minimal polynomial in an irreducible representation is equal to the order of this element provided the highest weight of the representation is large enough with respect to the ground field characteristic. On the other hand, classes of unipotent elements for which in every nontrivial representation the degree of the minimal polynomial is equal to the order of the element are indicated. In the general case the problem of computing the minimal polynomial of the image of a given element of order $p^s$ in a fixed irreducible representation of a classical group over a field of characteristic $p>2$ can be reduced to a similar problem for certain $s$ unipotent elements and a certain irreducible representation of some semisimple group over the field of complex numbers. For the latter problem an explicit algorithm is given. Results of explicit computations for groups of small ranks are contained in Tables I-XII. The article may be regarded as a contribution to the programme of extending the fundamental results of Hall and Higman (1956) on the minimal polynomials from $p$-solvable linear groups to semisimple groups.
Download or read book Bulletin written by and published by . This book was released on 1928 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Monthly Army List written by and published by . This book was released on 1882 with total page 1110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The army list written by and published by . This book was released on 1877 with total page 1242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Statistics written by Dieter Rasch and published by John Wiley & Sons. This book was released on 2018-03-19 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores mathematical statistics in its entirety—from the fundamentals to modern methods This book introduces readers to point estimation, confidence intervals, and statistical tests. Based on the general theory of linear models, it provides an in-depth overview of the following: analysis of variance (ANOVA) for models with fixed, random, and mixed effects; regression analysis is also first presented for linear models with fixed, random, and mixed effects before being expanded to nonlinear models; statistical multi-decision problems like statistical selection procedures (Bechhofer and Gupta) and sequential tests; and design of experiments from a mathematical-statistical point of view. Most analysis methods have been supplemented by formulae for minimal sample sizes. The chapters also contain exercises with hints for solutions. Translated from the successful German text, Mathematical Statistics requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables), which is typically taught in the earlier semesters of scientific and mathematical study courses. It teaches readers all about statistical analysis and covers the design of experiments. The book also describes optimal allocation in the chapters on regression analysis. Additionally, it features a chapter devoted solely to experimental designs. Classroom-tested with exercises included Practice-oriented (taken from day-to-day statistical work of the authors) Includes further studies including design of experiments and sample sizing Presents and uses IBM SPSS Statistics 24 for practical calculations of data Mathematical Statistics is a recommended text for advanced students and practitioners of math, probability, and statistics.
Download or read book The Monthly Army List written by Great Britain. Army and published by . This book was released on 1887 with total page 1166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Turbulence in Rotating Stratified and Electrically Conducting Fluids written by P. A. Davidson and published by Cambridge University Press. This book was released on 2013-09-12 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from first principles, this graduate-level monograph discusses turbulent flow in a wide range of geophysical and astrophysical settings.
Download or read book Thorunn written by Esther Jones and published by . This book was released on 2020-05-20 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: On a distant, stormy planet-filled with strange tech, long buried secrets, and mysterious creatures-three teens' lives collide amidst tragedy and betrayal, irreparably changing their futures forever. 3 illustrations, Young Adult Science Fiction.
Download or read book A Textbook of B Sc Mathematics Abstract Algebra written by V. Venkateswara Rao, N. Krishnamurthy, B.V.S.S. Sarma S. Anjaneya Sastry, S. Ranganatham & R. Bharavi Sharma and published by S. Chand Publishing. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A Textbook of B.Sc. Mathematics Abstract Algebra
Download or read book Chemical Modelling written by Professor Michael Springborg and published by Royal Society of Chemistry. This book was released on 2021-05-05 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical modelling covers a wide range of disciplines and this book is the first stop for any materials scientist, biochemist, chemist or molecular physicist wishing to acquaint themselves with major developments in the applications and theory of chemical modelling. Containing both comprehensive and critical reviews, it is a convenient reference to the current literature. Coverage includes, but is not limited to, isomerism in polyoxometalate chemistry, modelling molecular magnets, molecular modelling of cyclodextrin inclusion complexes and graphene nanoribbons heterojunctions.
Download or read book Astronomical Observations written by Royal Observatory, Greenwich and published by . This book was released on 1898 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1841-1914 include Rates of box and pocket chronometers on trial for purchase by the Board of Admiralty (varies slightly); 1888-1914 include Rates of chronometer watches on trial for purchase by the Board of Admiralty (varies slightly); 1838, 1845- include Reports of the Astronomer Royal to the Board of Visitors (these titles also issued separately).
Download or read book Report No FHWA RD written by United States. Federal Highway Administration. Offices of Research and Development and published by . This book was released on 1976 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on the Theory of Functions of Real Variables Rational numbers written by James Pierpont and published by . This book was released on 1905 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Martingales in Banach Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2016-06-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.
Download or read book Dictionary of the Lepcha language written by Albert Grünwedel and published by . This book was released on 1898 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Allen s Indian mail and register of intelligence for British and foreign India written by and published by . This book was released on 1889 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Bulletin of the Hartford Public Library written by Hartford Public Library and published by . This book was released on 1897 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
