Notes on Coxeter Transformations and the McKay Correspondence - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Notes on Coxeter Transformations and the McKay Correspondence write by Rafael Stekolshchik. This book was released on 2008-01-18. Notes on Coxeter Transformations and the McKay Correspondence available in PDF, EPUB and Kindle. Here is a key text on the subject of representation theory in finite groups. The pages of this excellent little book, prepared by Rafael Stekolshchik, contain a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. They include ideas and formulae from a number of luminaries including J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, as well as material from Coxeter and McKay themselves. Many other authors have material published here too.
Unitary Reflection Groups
Unitary Reflection Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Reflection Groups write by Gustav I. Lehrer. This book was released on 2009-08-13. Unitary Reflection Groups available in PDF, EPUB and Kindle. A unitary reflection is a linear transformation of a complex vector space that fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or an arrangement of mirrors. This book gives a complete classification of all finite groups which are generated by unitary reflections, using the method of line systems. Irreducible groups are studied in detail, and are identified with finite linear groups. The new invariant theoretic proof of Steinberg's fixed point theorem is treated fully. The same approach is used to develop the theory of eigenspaces of elements of reflection groups and their twisted analogues. This includes an extension of Springer's theory of regular elements to reflection cosets. An appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises, ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics. Book jacket.
Algebras, Rings and Modules
Algebras, Rings and Modules - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras, Rings and Modules write by Michiel Hazewinkel. This book was released on 2010. Algebras, Rings and Modules available in PDF, EPUB and Kindle. Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
Lattice Theory: Special Topics and Applications
Lattice Theory: Special Topics and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lattice Theory: Special Topics and Applications write by George Grätzer. This book was released on 2016-10-08. Lattice Theory: Special Topics and Applications available in PDF, EPUB and Kindle. George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.
Deutsche Nationalbibliografie
Deutsche Nationalbibliografie - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Deutsche Nationalbibliografie write by Die deutsche Nationalbibliothek. This book was released on 2008. Deutsche Nationalbibliografie available in PDF, EPUB and Kindle.
