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A class of representations of Hecke alge...

Alvis, Dean...

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A class of representations of Hecke algebras II by Alvis, Dean ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	Let $W$ be a Coxeter group whose proper parabolic subgroups are finite. According to Theorem~1.12 of [1], if the module of a finite $W$-digraph $\Gamma$ is isomorphic to the module of a $W$-graph over $Q$, then $\Gamma$ is acyclic. We extend this result to Coxeter groups with finite dihedral parabolic subgroups and $W$-graphs over arbitrary fields $F$ of $C$. Also, an example is provided showing the converse of this theorem is false. That is, there is an example of a finite, acyclic $W$-digraph whose module does not afford a $W$-graph.
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/1312.2402

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AMA 11th EditionReferences

Alvis, Dean. A class of representations of Hecke algebras II. Australian National University. August 04, 2023. Accessed August 15, 2025. https://online.provdatabase.com/cite/10778

APA 7th EditionReferences

Alvis, Dean. (2023). A class of representations of Hecke algebras II. Australian National University. https://online.provdatabase.com/cite/10778

Chicago 17th EditionReferences

Alvis, Dean. A class of representations of Hecke algebras II. Australian National University. 2023. https://online.provdatabase.com/cite/10778

HarvardReferences

Alvis, Dean. (2023). A class of representations of Hecke algebras II. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/10778. (Accessed 15 August 2025).

Harvard AustraliaReferences

Alvis, Dean, 2023, A class of representations of Hecke algebras II, Australian National University, viewed 15 August 2025, <https://online.provdatabase.com/cite/10778>

MLA 9th EditionWorks Cited

Alvis, Dean. A class of representations of Hecke algebras II. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/10778.

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