Flag Varieties: An Interplay of Geometry, Combinatorics, and Representation Theory (Hindustan Book Agency)
Language: English
Published by Hindustan Book Agency (India) HBA, 1905
- Hardcover
- New
Seller: Books Puddle, Woodside, NY, U.S.A.Books Puddle
AbeBooks seller since November 22, 2018
Condition: New
£ 22.24
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- Title
- Flag Varieties: An Interplay of Geometry, Combinatorics, and Representation Theory (Hindustan Book Agency)
- Author
- Lakshmibai, V.; Brown, Justin
- Publisher
- Hindustan Book Agency (India) HBA
- Publication year
- 1905
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9386279703
- ISBN 13
- 9789386279705
- Edition
- 2nd Edition
In the area of representation theory, the book presents a discussion of complex semisimple Lie algebras and of semisimple algebraic groups; in addition, the representation theory of symmetric groups is also discussed. In the area of algebraic geometry, the book gives a detailed account of Grassmann varieties, flag varieties, and their Schubert subvarieties. Because of their connections with root systems, many of the geometric results admit elegant combinatorial description, a typical example being the description of the singular locus of a Schubert variety. This is shown to be a consequence of standard monomial theory (abbreviated SMT). Thus the book includes SMT and some important applications - singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.
In this second edition, two recent results on Schubert varieties in the Grassmannian have been added, and some errors in the first edition corrected.
"Synopsis" may belong to another edition of this title.
Books Puddle
Woodside, NY, U.S.A.
AbeBooks seller since November 22, 2018
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