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On the quiver with relations of a repetitive algebra

✍ Scribed by Jan Schröer


Publisher
Springer
Year
1999
Tongue
English
Weight
84 KB
Volume
72
Category
Article
ISSN
0003-889X

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On the Double of the Hall Algebra of a Q
✍ Bert Sevenhant; Michel Van den Bergh 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 181 KB

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.