On a class of partially ordered sets and their linear invariants |
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| Authors: | Johannes Siemons |
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| Institution: | (1) School of Mathematics, University of East Anglia, NR4 7TJ Norwich, U.K. |
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| Abstract: | Let ( , <) be a finite partially ordered set with rank function. Then is the disjoint union of the classes
k
of elements of rank k and the order relation between elements in
k
and
k+1 can be represented by a matrix S
k. We study partially ordered sets which satisfy linear recurrence relations of the type S
k
(S
k
T
) – c
k
(S
k – 1)T
S
k – 1 = d
k
+
– c
k
d
k
–
) Id for all k and certain coefficients d
k
+, d
k
- and c
k. |
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| Keywords: | |
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