Counting the number of $\tau$-exceptional sequences over Nakayama algebras
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Publication:6335713
DOI10.1007/S10468-021-10060-YarXiv2002.12194MaRDI QIDQ6335713
Publication date: 27 February 2020
Abstract: The notion of a -exceptional sequence was introduced by Buan and Marsh in 2018 as a generalisation of an exceptional sequence for finite dimensional algebras. We calculate the number of complete -exceptional sequences over certain classes of Nakayama algebras. In some cases, we obtain closed formulas which also count other well known combinatorial objects and exceptional sequences of path algebras of Dynkin quivers.
Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)
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