Standard monomial theory: Invariant theoretic approach

Lakshmibai V., Raghavan K.N.3540767565

Table of contents :
Preface……Page 5
Contents……Page 7
Introduction……Page 13
Generalities on algebraic varieties……Page 22
Generalities on algebraic groups……Page 28
Grassmannian Variety……Page 40
Determinantal varieties……Page 58
Symplectic Grassmannian……Page 66
Orthogonal Grassmannian……Page 81
The standard monomial theoretic basis……Page 94
Review of GIT……Page 103
Classical Invariant Theory……Page 129
SLn(K)-action……Page 145
SOn(K)-action……Page 167
Applications of standard monomial theory……Page 194
Appendix: Proof of the main theorem of SMT……Page 225
References……Page 248
Index……Page 254
Index of notation……Page 265
Author index……Page 268