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Flag Varieties : An Interplay of Geometry, Combinatorics, and Representation Theory
Resource Information
The work ** Flag Varieties : An Interplay of Geometry, Combinatorics, and Representation Theory** represents a distinct intellectual or artistic creation found in **University of Manitoba Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Flag Varieties : An Interplay of Geometry, Combinatorics, and Representation Theory
Resource Information

The work

**Flag Varieties : An Interplay of Geometry, Combinatorics, and Representation Theory**represents a distinct intellectual or artistic creation found in**University of Manitoba Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Flag Varieties : An Interplay of Geometry, Combinatorics, and Representation Theory

- Title remainder
- An Interplay of Geometry, Combinatorics, and Representation Theory

- Statement of responsibility
- by V. Lakshmibai, Justin Brown

- Language
- eng

- Summary
- This book discusses the importance of flag varieties in geometric objects and elucidates its richness as interplay of geometry, combinatorics and representation theory. The book presents a discussion on the representation theory of complex semisimple Lie algebras, as well as the representation theory of semisimple algebraic groups. In addition, the book also discusses the representation theory of symmetric groups. In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties. Many of the geometric results admit elegant combinatorial description because of the root system connections, a typical example being the description of the singular locus of a Schubert variety. This discussion is carried out as a consequence of standard monomial theory. Consequently, this book includes standard monomial theory and some important applications—singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory. The two recent results on Schubert varieties in the Grassmannian have also been included in this book. The first result gives a free resolution of certain Schubert singularities. The second result is about certain Levi subgroup actions on Schubert varieties in the Grassmannian and derives some interesting geometric and representation-theoretic consequences

- Cataloging source
- MiAaPQ

- Dewey number
- 516.35

- LC call number
- QA174-183

- Literary form
- non fiction

- Nature of contents
- dictionaries

- Series statement
- Texts and Readings in Mathematics,

- Series volume
- 53

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