Mixed quiver algebras

In this paper we introduce a new class of $K$ -algebras associated with quivers. Given any finite chain $ $K$ _r: K=K_0\subseteq K_1\subseteq … \subseteq K_r $o f f i e l d s a n d a c h a i n$ $E$ r : H_0\subset H_1\subset … \subset H_r=E^0 $o f h e r e d i t a r y s a t u r a t e d s u b s e t s o f t h e s e t o f v e r t i c e s$ E^0 $o f a q u i v e r$ E $, w e b u i l d t h e m i x e d p a t h a l g e b r a$ P{ $K$ _r}(E, $H$ r) $, t h e m i x e d L e a v i t t p a t h a l g e b r a$ L{ $K$ _r}(E, $H$ r) $a n d t h e m i x e d r e g u l a r p a t h a l g e b r a$ Q{ $K$ _r}(E, $H$ _r)$ and we show that they share many properties with the unmixed species $P_{K} (E)$ , $L_{K} (E)$ and $Q_{K} (E)$ .

Mixed quiver algebras

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Mixed quiver algebras

文献摘要

讨论

讲解博客

AI智能校验

Mixed quiver algebras

文献摘要

讨论

|讲解博客

|AI智能校验

Mixed quiver algebras

文献摘要

讨论

|讲解博客

|AI智能校验

讲解博客

AI智能校验

讲解博客

AI智能校验