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Characteristic-free Littlewood-Richardson type decompositions of arbitrary skew Schur complexes

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Author(s): Hyoung June Ko
Series: PhD thesis at Brandeis University
Year: 1987

Language: English

Introduction
CHAPTER I SCHUR COMPLEXES
I.1 Shape matrices
1.2 Schur modules. Weyl modules and
Schur complexes
I.3 The standard basis theorems
CHAPTER II PIERI FORMULAS FOR SCHUR COMPLEXES
II.1 Pieri formulas
II.2 The ideas behind skew Pieri formulas
II.3 Outlines of the decompositions of skew
Schur complexes
CHAPTER III LITTLEWOOD—RICHARDSON RULE
III.1 Preliminary notions in Combinatorics
III.2 Another description of
Littlewood—Richardson rule
III.3 Classical definitions of Schur modules and
Schur complexes
CHAPTER IV DECOMPOSITIONS OF SKEW SCHUR COMPLEXES
IV.1 The U+(u1.R)-invariants associated with the
standard LR-tableaux
IV.2 Universal filtrations of skew Schur complexes
IV.3 Consequences
Bibliography
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