Permutation Totally Symmetric Self-Complementary Plane Partitions
نویسندگان
چکیده
منابع مشابه
Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices
We present multiresidue integral formulae for partial sums in the basis of link patterns of the polynomial solution to the level 1 Uq(ŝl2) quantum Knizhnik–Zamolodchikov equation at generic values of the quantum parameter q. These allow for rewriting and generalizing a recent conjecture [Di Francesco ’06] connecting the above to generating polynomials for weighted Totally Symmetric Self-Complem...
متن کاملThe Equivalence between Enumerating Cyclically Symmetric, Self-Complementary and Totally Symmetric, Self-Complementary Plane Partitions
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متن کاملOn refined enumerations of totally symmetric self-complementary plane partitions I
Abstract In this paper we give Pfaffian expressions and constant term identities for three conjectures (i.e. Conjecture 2, Conjecture 3 and Conjecture 7) by Mills, Robbins and Rumsey in the paper “Self-complementary totally symmetric plane partitions” J. Combin. Theory Ser. A 42, 277–292) concerning the refined enumeration problems of totally symmetric self-complementary plane partitions. We al...
متن کاملRefined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Constant Term Identities
In this paper we give Pfaffian or determinant expressions, and constant term identities for the conjectures in the paper “Self-complementary totally symmetric plane partitions” (J. Combin. Theory Ser. A 42, 277–292) by Mills, Robbins and Rumsey. We also settle a weak version of Conjecture 6 in the paper, i.e., the number of shifted plane partitions invariant under a certain involution is equal ...
متن کاملRefined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Lattice Path Combinatorics
This article is a short explanation of some of the results obtained in my papers “On refined enumerations of totally symmetric self-complementary plane partitions I, II”. We give Pfaffian expressions for some of the conjectures in the paper “Self-complementary totally symmetric plane partitions” (J. Combin. Theory Ser. A 42, 277–292) by Mills, Robbins and Rumsey, using the lattice path method.
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ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 2018
ISSN: 0218-0006,0219-3094
DOI: 10.1007/s00026-018-0394-0