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http://hdl.handle.net/1942/3041| Title: | On the double of the Hall algebra of a quiver | Authors: | SEVENHANT, Bert VAN DEN BERGH, Michel |
Issue Date: | 1999 | Publisher: | ACADEMIC PRESS INC | Source: | JOURNAL OF ALGEBRA, 221(1). p. 135-160 | Abstract: | 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. (C) 1999 Academic Press. | Notes: | Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Sevenhant, B, Limburgs Univ Ctr, Dept WNI, Bldg D,Univ Campus, B-3590 Diepenbeek, Belgium. | Keywords: | Hall algebra; quantum Weyl groups; quantum groups | Document URI: | http://hdl.handle.net/1942/3041 | ISI #: | 000083682100008 | Type: | Journal Contribution | Validations: | ecoom 2000 |
| Appears in Collections: | Research publications |
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