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Straightening identities in the Onsager algebra. (English) Zbl 1423.17006

Summary: The purpose of this work is to formulate and prove some straightening identities in the Onsager algebra. Our identities allow one to rewrite specific products of basis elements as linear combinations of products which are in a different order. Such identities could be helpful in understanding the representation theory of the Onsager algebra.

MSC:

17B05 Structure theory for Lie algebras and superalgebras
17B35 Universal enveloping (super)algebras
17B65 Infinite-dimensional Lie (super)algebras
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References:

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