✦ LIBER ✦

On the Double of the Hall Algebra of a Quiver

✍ Scribed by Bert Sevenhant; Michel Van den Bergh

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 181 KB
Volume: 221
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7958

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✦ Synopsis

We show that it is possible to define reflection isomorphisms on the double of the (twisted) Hall algebra of a quiver. Combining these reflections with Fourier transform yields an alternative construction of Lusztig's braid group action on a quantum enveloping algebra.

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