A057565 Number of regions of linearity for Lusztig's piecewise-linear function in type A_n.

1, 2, 10, 144, 6608

Offset

1,2

Comments

Lusztig's piecewise-linear function is of interest because it appears to be related to a description of the canonical basis of the quantized enveloping algebra U^+(sl_{n+1}).

References

J. W. Cockerton, "Canonical bases and piecewise-linear combinatorics", Ph.D., Warwick, 1995

Links

Table of n, a(n) for n=1..5.

Crossrefs

Sequence in context: A337072 A294115 A137884 * A152804 A188490 A317075

Adjacent sequences: A057562 A057563 A057564 * A057566 A057567 A057568

Keyword

hard,nonn,nice

Author

Richard M. Green, Oct 04 2000

Status

approved