Introduction to the Theory of Standard Monomials : Second Edition
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The work Introduction to the Theory of Standard Monomials : Second Edition represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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Introduction to the Theory of Standard Monomials : Second Edition
Resource Information
The work Introduction to the Theory of Standard Monomials : Second Edition represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.
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 Introduction to the Theory of Standard Monomials : Second Edition
 Title remainder
 Second Edition
 Statement of responsibility
 by C. S. Seshadri
 Language
 eng
 Summary
 The book is a reproduction of a course of lectures delivered by the author in 198384 which appeared in the Brandeis Lecture Notes series. The aim of this course was to give an introduction to the series of papers by concentrating on the case of the full linear group. In recent years, there has been great progress in standard monomial theory due to the work of Peter Littelmann. The author's lectures (reproduced in this book) remain an excellent introduction to standard monomial theory. dorigin: initial; backgroundclip: initial; backgroundposition: initial; backgroundrepeat: initial; ">Standard monomial theory deals with the construction of nice bases of finite dimensional irreducible representations of semisimple algebraic groups or, in geometric terms, nice bases of coordinate rings of flag varieties (and their Schubert subvarieties) associated with these groups. Besides its intrinsic interest, standard monomial theory has applications to the study of the geometry of Schubert varieties. Standard monomial theory has its origin in the work of Hodge, giving bases of the coordinate rings of the Grassmannian and its Schubert subvarieties by zstandard monomialsy. In its modern form, standard monomial theory was developed by the author in a series of papers written in collaboration with V. Lakshmibai and C. Musili. In the second edition of the book, conjectures of a standard monomial theory for a general semisimple (simplyconnected) algebraic group, due to Lakshmibai, have been added as an appendix, and the bibliography has been revised.
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 Provided by publisher
 Dewey number
 223
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer eBooks
 Texts and Readings in Mathematics,
 Series volume
 46
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