Finite-dimensional algebras and quivers

Abstract

This is an overview article on finite-dimensional algebras and quivers, written for the Encyclopedia of Mathematical Physics. We cover path algebras, Ringel-Hall algebras and the quiver varieties of Lusztig and Nakajima.

9 pages, 7 figures

References in corpus (3)

• Quiver varieties and tensor products
• Tensor product varieties and crystals. GL case
• The Tensor Product of Representations of U_q(sl_2) Via Quivers

Cited by in corpus (3)

• Representations of quivers and mixed graphs
• Walk-Sums, Continued Fractions and Unique Factorisation on Digraphs
• Subregular $J$-rings of Coxeter systems via quiver path algebras