Introduction to the Theory of Standard Monomials
Seiten
2015
|
2nd Revised edition
Hindustan Book Agency (Verlag)
978-93-80250-42-7 (ISBN)
Hindustan Book Agency (Verlag)
978-93-80250-42-7 (ISBN)
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The aim of this book is to give an introduction to what has come to be known as Standard Monomial Theory (SMT). SMT deals with the construction of nice bases of finite dimensional irreducible representations of semi-simple algebraic groups or, in geometric terms, nice bases of coordinate rings of flag varieties (and their Schubert subvarieties) associated to these groups. Besides its intrinsic interest, SMT has applications to the study of the geometry of Schubert varieties. SMT has its origin in the work of Hodge, giving bases of the coordinate rings of the Grassmannian and its Schubert subvarieties by ""standard monomials"". In its modern form, SMT was developed by the author in a series of papers written in collaboration with V. Lakshmibai and C. Musili.
| Erscheint lt. Verlag | 30.11.2015 |
|---|---|
| Reihe/Serie | Texts and Readings in Mathematics ; 46 |
| Verlagsort | New Delhi |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| ISBN-10 | 93-80250-42-8 / 9380250428 |
| ISBN-13 | 978-93-80250-42-7 / 9789380250427 |
| Zustand | Neuware |
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