arXiv:2004.08033 Abstract | arXiv Analytics

arXiv:2004.08033 [math.RT]Abstract References Reviews Resources

Combinatorics of Type D Exceptional Sequences

Published 2020-04-17Version 1

Exceptional sequences are important sequences of quiver representations in the study of representation theory of algebras. They are also closely related to the theory of cluster algebras and the combinatorics of Coxeter groups. We combinatorially classify exceptional sequences of a family of type D Dynkin quivers, and we show how our model for exceptional sequences connects to the combinatorics of type D noncrossing partitions.

Categories: math.RT, math.CO

Subjects: 16G20, 05E10, 06A07

Keywords: combinatorics, exceptional sequences connects, important sequences, quiver representations, cluster algebras

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