Kac–Moody Algebras
Infinite-dimensional Lie algebras and affine Lie algebras.
Kac–Moody Algebras. Infinite-dimensional Lie algebras and affine Lie algebras.
Foundations and canonical references
The standard treatments of kac–moody algebras approach the subject from complementary angles. Kac, Infinite-Dimensional Lie Algebras (1990) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Kac, Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras (2013) offers an alternative presentation that complements the primary references and is useful for triangulating definitions and proof techniques.
Open methodological questions for kac–moody algebras include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1990Infinite-Dimensional Lie Algebraskac-1990
- textbook · supporting · 2013Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebraskac-2013, raina-2013
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