We prove a conjecture of Miller and Reiner on the existence of Smith normal form for the -operators for a certain class of -differential posets.
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.393
Mots-clés : differential poset, Smith normal form, canonical forms, invariant factor decomposition
Shah, Syed Waqar Ali 1
@article{ALCO_2024__7_6_1887_0, author = {Shah, Syed Waqar Ali}, title = {Smith normal form of matrices associated with differential posets}, journal = {Algebraic Combinatorics}, pages = {1887--1899}, publisher = {The Combinatorics Consortium}, volume = {7}, number = {6}, year = {2024}, doi = {10.5802/alco.393}, zbl = {07966783}, language = {en}, url = {https://alco.centre-mersenne.org/articles/10.5802/alco.393/} }
TY - JOUR AU - Shah, Syed Waqar Ali TI - Smith normal form of matrices associated with differential posets JO - Algebraic Combinatorics PY - 2024 SP - 1887 EP - 1899 VL - 7 IS - 6 PB - The Combinatorics Consortium UR - https://alco.centre-mersenne.org/articles/10.5802/alco.393/ DO - 10.5802/alco.393 LA - en ID - ALCO_2024__7_6_1887_0 ER -
%0 Journal Article %A Shah, Syed Waqar Ali %T Smith normal form of matrices associated with differential posets %J Algebraic Combinatorics %D 2024 %P 1887-1899 %V 7 %N 6 %I The Combinatorics Consortium %U https://alco.centre-mersenne.org/articles/10.5802/alco.393/ %R 10.5802/alco.393 %G en %F ALCO_2024__7_6_1887_0
Shah, Syed Waqar Ali. Smith normal form of matrices associated with differential posets. Algebraic Combinatorics, Volume 7 (2024) no. 6, pp. 1887-1899. doi : 10.5802/alco.393. https://alco.centre-mersenne.org/articles/10.5802/alco.393/
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