Introduction to the theory of standard monomials /
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Main Authors: | |
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Published: |
Hindustan Book Agency,
|
Publisher Address: | New Delhi, India : |
Publication Dates: | [2014] |
Literature type: | Book |
Language: | English |
Edition: | Second edition. |
Series: |
Texts and readings in mathematics ;
46 |
Subjects: | |
Item Description: |
Brandeis course lecture notes from the 1983-84 academic year. Previous edition: 2007. |
Carrier Form: | xiv, 221 pages : illustrations ; 24 cm. |
Bibliography: | Includes bibliographical references (pages 213-215) and index. |
ISBN: |
9789380250588 9380250584 |
Index Number: | QA161 |
CLC: | O151.21 |
Call Number: | O151.21/S493/2nd ed. |
Contents: | Schubert varieties in the Grassmannian. Plücker coordinates ; Schubert varieties ; Standard monomials ; Some applications ; Degeneration of Schubert varieties ; Connection with determinantal varieties and invariant theory -- Standard monomial theory on SL[subscript n](k)/Q. Some facts about G/Q ; Young diagrams and standard monomials ; Linear independence of standard monomials ; Some facts about the partial order on W/W[subscript Qi] ; Preparation for the main theorem ; Main theorem ; Another proof for generation by standard monomials -- Applications. Singularities of Schubert varieties ; |