"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...
"Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the ...
Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory. This book is a detailed account of this interplay. In the area of representation theory, the book presents a discussion of complex semisimple Lie algebras and of semisimple algebraic groups; in addition, the representation theory of symmetric groups is also discussed. In the area of algebraic geometry, the book gives a detailed account of Grassmann varieties, flag varieties, and their Schubert subvarieties. Because of their connections with root...
Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory. This book ...
Over the past fifty years, C.S. Seshadri has been a towering figure in the mathematical horizon, and his contributions have been central to the development of moduli problems and geometric invariant theory as well as representation theory of algebraic groups. The two volumes of the collected papers have been organised in accordance with the subject matter, reflecting faithfully the diversity of his mathematical contributions. These volumes will achieve the objective of inspiring future generations of mathematicians and provide insights into the unique mathematical personality of C.S....
Over the past fifty years, C.S. Seshadri has been a towering figure in the mathematical horizon, and his contributions have been central to the develo...
