论文标题
无穷小变形的延长代数
The Ext-algebra for infinitesimal deformations
论文作者
论文摘要
让$ f $为hochschild $ 2 $ cocycle，让$ a_f $是一个相关的有限尺寸尺寸代数$ a $ a $ a $ a $ a $ a $ a $ a $ a_f $。我们调查了$ a_f $的延伸代数的代数结构，在某些条件下，在$ f $的某些条件下，我们用$ a $的ext-Elgebra来描述它。我们通过在$ \ mod a_f $中明确构造最小的投影分辨率来实现此描述。
Let $f$ be a Hochschild $2$-cocycle and let $A_f$ be an infinitesimal deformation of an associative finite dimensional algebra $A$ over an algebraically closed field $\Bbbk$. We investigate the algebra structure of the Ext-algebra of $A_f$ and, under some conditions on $f$, we describe it in terms of the Ext-algebra of $A$. We achieve this description by getting an explicit construction of minimal projective resolutions in $\mod A_f$.
