Representation Theory and Geometry of the Flag Variety

This Comprehensive Reference Begins With A Review Of The Basics Followed By A Presentation Of Flag Varieties And Finite- And Infinite-dimensional Representations In Classical Types And Subvarieties Of Flag Varieties And Their Singularities. Associated Varieties And Characteristic Cycles Are Covered As Well And Kazhdan-lusztig Polynomials Are Treated. The Coverage Concludes With A Discussion Of Pattern Avoidance And Singularities And Some Recent Results On Springer Fibers. Frontmatter -- Preface -- Contents -- 1 Preliminaries -- 2 Polynomial Representations And The Flag Variety -- 3 Associated, Characteristic, And Orbital Varieties -- 4 Singularities Of Orbit Closures -- 5 Kazhdan–lusztig Polynomials And The Hecke Algebra -- 6 Lusztig–vogan Polynomials And Harish-chandra Modules -- 7 Pattern Avoidance And Singularities Of Orbit Closures -- 8 Springer Fibers -- Bibliography -- Index William M. Mcgovern. Issued Also In Print. Mode Of Access: Internet Via World Wide Web. In English.