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http://hdl.handle.net/1942/2622
Title: | A relation between a conjecture of Kac and the structure of the Hall algebra | Authors: | SEVENHANT, Bert VAN DEN BERGH, Michel |
Issue Date: | 2001 | Publisher: | ELSEVIER SCIENCE BV | Source: | JOURNAL OF PURE AND APPLIED ALGEBRA, 160(2-3). p. 319-332 | Abstract: | In this paper we show that the Hall algebra of a quiver, as defined by Ringel, is the positive part of the quantived enveloping algebra of a generalized Kac-Moody Lie algebra. We give a potential application of this result to a conjecture of Kac which states that the constant coefficient of the polynomial counting the number of absolutely indecomposable representations of a quiver over a finite field is equal to the multiplicity of the corresponding root in the associated Kac-Moody Lie algebra. (C) 2001 Elsevier Science B.V. All rights reserved. | Notes: | Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Van den Bergh, M, Limburgs Univ Ctr, Dept WNI, Univ Campus,Bldg D, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/2622 | ISSN: | 0022-4049 | e-ISSN: | 1873-1376 | ISI #: | 000169266500011 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2002 |
Appears in Collections: | Research publications |
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