Hall numbers and the composition algebra of the Kronecker algebra

被引：14
|
作者：
Szanto, Csaba [1 ]
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, RO-400084 Cluj Napoca, Romania
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2006年 / 9卷 / 05期
关键词：
Kronecker algebra; Hall algebra; composition algebra; Hall polynomials; quantum affine algebra;
D O I：
10.1007/s10468-006-9019-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present formulas for the structure constants (Hall numbers) of the Hall algebra H(kK) associated to the Kronecker algebra. The formulas which in some cases involve the classical Hall polynomials g((r)mu)(lambda) enable us to determine every Hall number. Using again these formulas we construct new PBW-bases with simple structure constants for the composition algebra C(kK), making possible the definition of the generic composition algebra via Hall polynomials.
引用
收藏
页码：465 / 495
页数：31
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