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INTRODUCTION TO THE THEORY OF STANDARD MONOMIALS (TEXTS AND READINGS IN MATHEMATICS)

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Book Details

  • Author: C.S. Seshadri

  • Publisher: Amer Mathematical Society

  • Edition: 2

  • Binding: Paperback

  • Number of Pages: 236

  • Release Date: 30-05-2014

  • Language: English

  • ISBN: 9789380250588

  • Package Dimensions: 9.4 x 6.3 x 0.6 inches

About The Book
C.S. Seshadri's Standard Monomial Theory (2nd Edition) provides a deep and accessible introduction to one of the most advanced topics in algebra and geometry—Standard Monomial Theory (SMT). SMT deals with the construction of elegant bases for finite-dimensional irreducible representations of semi-simple algebraic groups. Geometrically, it focuses on constructing nice bases for the coordinate rings of flag varieties and their Schubert subvarieties associated with these groups.

This comprehensive text is a valuable resource for students and researchers in algebra, geometry, and representation theory. It brings clarity to the abstract theory and serves as an essential guide to understanding the key aspects of SMT, which plays a critical role in modern algebraic geometry and the study of algebraic groups.

Whether you're a graduate student exploring this field for the first time or an experienced researcher looking for a solid reference, Seshadri's work offers both theoretical depth and practical insight into the foundations and applications of Standard Monomial Theory.