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Symplectic q-Schur Algebras
Sebastian Oehms, Mathematisches Institut B, Universität Stuttgart
1
Introduction
Quantum Symplectic Monoids
Quantum Symplectic Bideterminants
Quantum Coefficient of Dilation
The Symplectic
-Schur algebra
Tableaux
Results
The Quantum Symplectic Straightening Formula
Arithmetic of Bideterminants
The Weak Straightening Algorithm
Quantum Symplectic Exterior Algebra
Proof of Proposition 8.3
Proof of Proposition 12.1
Proof of Proposition 12.2
Finishing the proof of Theorem 7.1
Quasi-Heredity of the Symplectic q-Schur Algebra
Outlook
Appendix: Technical Details
Details to the Proof of 11.2
Details to the Proof of 11.3
Details to the Proof of 13.1
Bibliography
Index of Notation
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Sebastian Oehms 2004-08-13
-Schur algebra