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Diagram calculus for a type affine $C$ T...

Ernst, Dana C....

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Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II by Ernst, Dana C. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	19-07-2023
Summary	In a previous paper, we presented an infinite dimensional associative diagram algebra that satisfies the relations of the generalized Temperley--Lieb algebra having a basis indexed by the fully commutative elements of the Coxeter group of type affine $C$. We also provided an explicit description of a basis for the diagram algebra. In this paper, we show that the diagrammatic representation is faithful and establish a correspondence between the basis diagrams and the so-called monomial basis of the Temperley--Lieb algebra of type affine $C$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1101.4215

Citation

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AMA 11th EditionReferences

Ernst, Dana C.. Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II. Australian National University. July 19, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/4856

APA 7th EditionReferences

Ernst, Dana C.. (2023). Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II. Australian National University. https://online.provdatabase.com/cite/4856

Chicago 17th EditionReferences

Ernst, Dana C.. Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II. Australian National University. 2023. https://online.provdatabase.com/cite/4856

HarvardReferences

Ernst, Dana C.. (2023). Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/4856. (Accessed 20 September 2024).

Harvard AustraliaReferences

Ernst, Dana C., 2023, Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/4856>

MLA 9th EditionWorks Cited

Ernst, Dana C.. Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/4856.

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