✦ LIBER ✦

Counting Representations of Quivers over Finite Fields

✍ Scribed by Jiuzhao Hua

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 186 KB
Volume: 226
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8220

No coin nor oath required. For personal study only.

✦ Synopsis

dedicated to professor shaoxue liu on the occasion of his 70th birthday By counting the numbers of isomorphism classes of representations (indecomposable or absolutely indecomposable) of quivers over finite fields with fixed dimension vectors, we obtain a multi-variable formal identity. If the quiver has no edge-loops, this identity turns out to be a q-analogue of the Kac denominator identity modulus a conjecture of Kac.

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