A Recursive Formula for Characters of Simple Lie Algebras |
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Contents
Preliminaries | 4 |
Known results | 12 |
Generalizing the known results the main theorem | 20 |
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Common terms and phrases
A2 and B2 action algebras A2 appears apply Lemma argument B₁ becomes called character formula characteristic function coefficient complex computation contains Corollary 4.9 define definition denote direct distinct positive roots dominant weights element entries equals Equation evaluated example exists expression fact Figure finite finite-dimensional fixed geometric given gives highest weight holds integers irreducible known Kostant lattice Lemma Library modules multiplicity non-negative non-simple positive roots non-simple roots notation obtain oooo otherwise particular positive roots possible present Proof rank RECURSIVE FORMULA referring reflection represent respect set of weights sgn(w side SIMPLE LIE ALGEBRAS simple roots Step Steven Neil Kass subset Suppose Table term Theorem 3.7 thesis union unique University various weight of V(X Weyl group write written yields λελ