"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 ...
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"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.
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Add this copy of Singular Loci of Schubert Varieties to cart. $94.00, very good condition, Sold by Expatriate Bookshop rated 1.0 out of 5 stars, ships from Svendborg, DENMARK, published 2000 by Birkhauser.
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Minor rubbing. VG. 24x15cm, xii, 251 pp, Series: Progress in Mathematics, Volume 182. Contents: Generalities on G/B and G/Q; Specifics for the Classical Groups; The Tangent Space & Smoothness; Root System Description of T (w, r); Rational Smoothness and Kazhdan-Lusztig Polynomials; Patterns, Smoothness &Rational Smoothness; Miniscule & Cominiscule G/P; Rank Two Results; Related Combinatorial Results; Related Varieties; Addendum.
