Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (13 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
"Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work, Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varieties – namely singular loci. The main focus, therefore, is on the computations for the singular loci of Schubert varieties and corresponding tangent spaces. The methods used include standard monomial theory, the nil Hecke ring, and Kazhdan-Lusztig theory. New results are presented with sufficient examples to emphasize key points. A comprehensive bibliography, index, and tables – the latter not to be found elsewhere in the mathematics literature – round out this concise work. After a good introduction giving background material, the topics are presented in a systematic fashion to engage a wide readership of researchers and graduate students.
Reviews
"The authors review the major papers in the topic that have been written during the last two decades, giving a comprehensive bibliography…this is a very important survey of the subject."
-Mathematical Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Singular Loci of Schubert Varieties
Authors: Sara Billey, V. Lakshmibai
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-1-4612-1324-6
Publisher: Birkhäuser Boston, MA
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2000
Hardcover ISBN: 978-0-8176-4092-7Published: 29 September 2000
Softcover ISBN: 978-1-4612-7094-2Published: 07 November 2012
eBook ISBN: 978-1-4612-1324-6Published: 06 December 2012
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XII, 251
Topics: Algebraic Geometry, Topological Groups, Lie Groups, Combinatorics, Differential Geometry