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Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_{1}$

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James Lepowsky and Mirko Primc

Publication: Contemporary Mathematics
Publication Year: 1985; Volume 46
ISBNs: 978-0-8218-5048-0 (print); 978-0-8218-7631-2 (online)
DOI: https://doi.org/10.1090/conm/046
MathSciNet review: 814303

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Table of Contents

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Front/Back Matter

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Chapters

• 1. Introduction
• 2. The Lie algebra $A_1^{(1)}$
• 3. The category $\mathcal {P}_k$
• 4. The generalized commutation relations
• 5. Relations for standard modules
• 6. Basis of $\Omega _L$ for a standard module $L$
• 7. Schur functions
• 8. Proof of linear independence
• 9. Combinatorial formulas
• References