Combinatorics of faithfully balanced modules

Crawley-Boevey WW, Ma B, Rognerud B, Sauter J (2021)
Journal of Combinatorial Theory, Series A 182: 105472.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We study and classify faithfully balanced modules for the algebra of triangular nby nmatrices and more generally for Nakayama algebras. The theory extends known results about tilting modules, which are classified by binary trees, and counted with the Catalan numbers. The number of faithfully balanced modules is a 2-factorial number. Among them are n! modules with nindecomposable summands, which can be classified by interleaved binary trees or by increasing binary trees. (C) 2021 Elsevier Inc. All rights reserved.
Stichworte
Faithfully balanced module; Double centralizer property; Tilting module; Nakayama algebra; Binary tree
Erscheinungsjahr
2021
Zeitschriftentitel
Journal of Combinatorial Theory, Series A
Band
182
Art.-Nr.
105472
ISSN
0097-3165
eISSN
1096-0899
Page URI
https://pub.uni-bielefeld.de/record/2955346

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Crawley-Boevey WW, Ma B, Rognerud B, Sauter J. Combinatorics of faithfully balanced modules. Journal of Combinatorial Theory, Series A. 2021;182: 105472.
Crawley-Boevey, W. W., Ma, B., Rognerud, B., & Sauter, J. (2021). Combinatorics of faithfully balanced modules. Journal of Combinatorial Theory, Series A, 182, 105472. https://doi.org/10.1016/j.jcta.2021.105472
Crawley-Boevey, W. W., Ma, B., Rognerud, B., and Sauter, J. (2021). Combinatorics of faithfully balanced modules. Journal of Combinatorial Theory, Series A 182:105472.
Crawley-Boevey, W.W., et al., 2021. Combinatorics of faithfully balanced modules. Journal of Combinatorial Theory, Series A, 182: 105472.
W.W. Crawley-Boevey, et al., “Combinatorics of faithfully balanced modules”, Journal of Combinatorial Theory, Series A, vol. 182, 2021, : 105472.
Crawley-Boevey, W.W., Ma, B., Rognerud, B., Sauter, J.: Combinatorics of faithfully balanced modules. Journal of Combinatorial Theory, Series A. 182, : 105472 (2021).
Crawley-Boevey, William Walstan, Ma, Biao, Rognerud, Baptiste, and Sauter, Julia. “Combinatorics of faithfully balanced modules”. Journal of Combinatorial Theory, Series A 182 (2021): 105472.

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