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Overview"""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." Full Product DetailsAuthor: Sara Sarason , V. Lakshmibai , V. LakshmibaiPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 2000 ed. Volume: 182 Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 1.220kg ISBN: 9780817640927ISBN 10: 0817640924 Pages: 251 Publication Date: 29 September 2000 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD We will order this item for you from a manufatured on demand supplier. Table of ContentsReviewsThe authors review the major papers in the topic that have been written during the last two decades, giving a comprehensive bibliographya ]this is a very important survey of the subject. <p>-Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |