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Standard Monomial Theory for Reductive Dual Pairs

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Author :
Release : 2003
Genre : Symplectic groups
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Standard Monomial Theory for Reductive Dual Pairs by : Steven Glenn Jackson

Download or read book Standard Monomial Theory for Reductive Dual Pairs written by Steven Glenn Jackson. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt:

Standard Monomial Theory

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Author :
Release : 2007-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 576/5 ( reviews)

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Book Synopsis Standard Monomial Theory by : V. Lakshmibai

Download or read book Standard Monomial Theory written by V. Lakshmibai. This book was released on 2007-12-23. Available in PDF, EPUB and Kindle. Book excerpt: Schubert varieties provide an inductive tool for studying flag varieties. This book is mainly a detailed account of a particularly interesting instance of their occurrence: namely, in relation to classical invariant theory. More precisely, it is about the connection between the first and second fundamental theorems of classical invariant theory on the one hand and standard monomial theory for Schubert varieties in certain special flag varieties on the other.

Crystal Bases: Representations And Combinatorics

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Release : 2017-01-17
Genre : Mathematics
Kind : eBook
Book Rating : 466/5 ( reviews)

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Book Synopsis Crystal Bases: Representations And Combinatorics by : Daniel Bump

Download or read book Crystal Bases: Representations And Combinatorics written by Daniel Bump. This book was released on 2017-01-17. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by Kashiwara and Lusztig from the perspective of quantum groups. Its power comes from the fact that it addresses many questions in representation theory and mathematical physics by combinatorial means. This book approaches the subject directly from combinatorics, building crystals through local axioms (based on ideas by Stembridge) and virtual crystals. It also emphasizes parallels between the representation theory of the symmetric and general linear groups and phenomena in combinatorics. The combinatorial approach is linked to representation theory through the analysis of Demazure crystals. The relationship of crystals to tropical geometry is also explained.

Mathematical Reviews

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Author :
Release : 2005
Genre : Mathematics
Kind : eBook
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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by . This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:

American Doctoral Dissertations

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Author :
Release : 2002
Genre : Dissertation abstracts
Kind : eBook
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Book Synopsis American Doctoral Dissertations by :

Download or read book American Doctoral Dissertations written by . This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt:

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