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008			211109b ||||| |||| 00| 0 eng d
020			_a9789380250588
028			_a:Variety Books Publishers & Distributors _b:B-10 Street No 2 West Vinod Nagar Delhi 110092 _c:IM2892 _d:02/11/2021
082			_22nd Ed. _a516.35 SES
100			_aSeshadri, C. S.
245			_a Introduction to the theory of standard monomials _c/ Seshadri, C. S.
260			_aNew Delhi _b:Hindustan Book Agency _c2014
300			_axiv, 221p. _c24cm.
365			_b450
490			_aTexts and readings in mathematics, v. 46.
505			_aChapter 1. Schubert Varieties in the Grassmannian -- Chapter 2. Standard monomial theory on SLn(k)/Q -- Chapter 3. Applications -- Chapter 4. Schubert varieties in G/Q.
520			_a The book is a reproduction of a course of lectures delivered by the author in 1983-84 which appeared in the Brandeis Lecture Notes series. The aim of this course was to give an introduction to the series of papers by concentrating on the case of the full linear group. In recent years, there has been great progress in standard monomial theory due to the work of Peter Littelmann. The author's lectures (reproduced in this book) remain an excellent introduction to standard monomial theory. d-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;">Standard monomial theory deals with the construction of nice bases of finite dimensional irreducible representations of semi-simple algebraic groups or, in geometric terms, nice bases of coordinate rings of flag varieties (and their Schubert subvarieties) associated with these groups. Besides its intrinsic interest, standard monomial theory has applications to the study of the geometry of Schubert varieties. Standard monomial theory has its origin in the work of Hodge, giving bases of the coordinate rings of the Grassmannian and its Schubert subvarieties by "standard monomials". In its modern form, standard monomial theory was developed by the author in a series of papers written in collaboration with V. Lakshmibai and C. Musili. In the second edition of the book, conjectures of a standard monomial theory for a general semi-simple (simply-connected) algebraic group, due to Lakshmibai, have been added as an appendix, and the bibliography has been revised
650			_aMathematics
650			_a Analysis
650			_aPolynomials.
650			_aGeometry, Algebraic.
650			_aSchubert varieties.
650			_aLinear algebraic groups.
700			_aSeshadri, C. S.
942			_cMDL