Singular Loci of Schubert Varieties (Paperback, Softcover reprint of the original 1st ed. 2000)

"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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Progress in Mathematics, 182
Release date:	March 2013
First published:	2000
Authors:	Sara Sarason • V. Lakshmibai
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	251
Edition:	Softcover reprint of the original 1st ed. 2000
ISBN-13:	978-1-4612-7094-2
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	1-4612-7094-4
Barcode:	9781461270942

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