GelfandTsetlinPatterns {syt} | R Documentation |
Gelfand-Tsetlin patterns
Description
Enumeration of Gelfand-Tsetlin patterns defined by a given integer partition and a given weight.
Usage
GelfandTsetlinPatterns(lambda, weight)
Arguments
lambda |
integer partition; up to trailing zeros, this will be the top diagonal of the generated Gelfand-Tsetlin patterns |
weight |
integer vector; the partial sums of this vector will be the diagonal sums of the generated Gelfand-Tsetlin patterns |
Value
A list of Gelfand-Tsetlin patterns. A Gelfand-Tsetlin pattern is a
triangular array of non-negative integers, and it is represented by the
list of its rows. Hence the first element of this list is an integer, the
second element is an integer vector of length two, and so on. The length
of this list is the length of weight
.
See Also
Examples
GTpatterns <- GelfandTsetlinPatterns(c(3, 1), c(1, 1, 1, 1))
lapply(GTpatterns, prettyGT)
[Package syt version 0.5.0 Index]