Restricting Representations of Classical Algebraic Groups to Maximal Subgroups

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Release : 2015
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Restricting Representations of Classical Algebraic Groups to Maximal Subgroups - 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 Restricting Representations of Classical Algebraic Groups to Maximal Subgroups write by . This book was released on 2015. Restricting Representations of Classical Algebraic Groups to Maximal Subgroups available in PDF, EPUB and Kindle. Mots-clés de l'auteur: algebraic groups ; classical groups ; representation theory ; weight multiplicities ; irreducible modules ; composition factors ; restriction rules.

The Maximal Subgroups of Classical Algebraic Groups

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Release : 1987
Genre : Linear algebraic groups
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Book Rating : 279/5 ( reviews)

The Maximal Subgroups of Classical Algebraic 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 The Maximal Subgroups of Classical Algebraic Groups write by Gary M. Seitz. This book was released on 1987. The Maximal Subgroups of Classical Algebraic Groups available in PDF, EPUB and Kindle. Let [italic]V be a finite dimensional vector space over an algebraically closed field of characteristic p [greater than] 0 and let G = SL([italic]V), Sp([italic]V), or SO([italic]V). The main result describes all closed, connected, overgroups of [italic]X in SL([italic]V), assuming [italic]X is a closed, connected, irreducible subgroup of G.

Representations of Algebraic Groups

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Release : 2003
Genre : Mathematics
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Book Rating : 77X/5 ( reviews)

Representations of Algebraic 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 Representations of Algebraic Groups write by Jens Carsten Jantzen. This book was released on 2003. Representations of Algebraic Groups available in PDF, EPUB and Kindle. Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Maximal Subgroups of Exceptional Algebraic Groups

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Release : 1991
Genre : Mathematics
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Book Rating : 046/5 ( reviews)

Maximal Subgroups of Exceptional Algebraic 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 Maximal Subgroups of Exceptional Algebraic Groups write by Gary M. Seitz. This book was released on 1991. Maximal Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. Let [italic]G be a simple algebraic group of exceptional type over an algebraically closed field of characteristic [italic]p. The subgroups of [italic]G maximal with respect to being closed and connected are determined, although mild restrictions on [italic]p are required in dealing with certain simple subgroups of low rank. For [italic]p = 0 we recover the results of Dynkin.

Reductive Subgroups of Exceptional Algebraic Groups

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Release : 1996
Genre : Mathematics
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Book Rating : 618/5 ( reviews)

Reductive Subgroups of Exceptional Algebraic 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 Reductive Subgroups of Exceptional Algebraic Groups write by Martin W. Liebeck. This book was released on 1996. Reductive Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.