Cylindric Partitions
نویسندگان
چکیده
منابع مشابه
Plane overpartitions and cylindric partitions
Generating functions of plane overpartitions are obtained using various methods: non–intersecting paths, RSK type algorithms and symmetric functions. We extend some of the results to cylindric partitions. Also, we show that plane overpartitions correspond to domino tilings and we give some basic properties of this correspondence.
متن کاملEnumeration of Cylindric Plane Partitions
Résumé. Cylindric plane partitions may be thought of as a natural generalization of reverse plane partitions. A generating series for the enumeration of cylindric plane partitions was recently given by Borodin. As in the reverse plane partition case, the right hand side of this identity admits a simple factorization form in terms of the “hook lengths” of the individual boxes in the underlying s...
متن کاملPeriodic Schur Process and Cylindric Partitions
Periodic Schur process is a generalization of the Schur process introduced in [OR1] (math.CO/0107056). We compute its correlation functions and their bulk scaling limits, and discuss several applications including asymptotic analysis of uniform measures on cylindric partitions, time-dependent extensions of the discrete sine kernel, and bulk limit behavior of certain measures on partitions intro...
متن کاملEXPLICIT ŝln CRYSTAL MAPS BETWEEN CYLINDRIC PLANE PARTITIONS, MULTI-PARTITIONS AND MULTI-SEGMENTS
There are many combinatorial realizations of the crystals BΛ for the integral highest weight representations of b sln. One of the earliest and perhaps best known has as it’s underlying set certain `-tuples of partitions, where ` is the level of the representation. Another more recent model has as it’s underlying set certain cylindric plane partitions. Here we present a simple crystal isomorphis...
متن کاملTHREE COMBINATORIAL MODELS FOR ŝln CRYSTALS, WITH APPLICATIONS TO CYLINDRIC PLANE PARTITIONS
We define three combinatorial models for b sln crystals, parametrized by partitions, configurations of beads on an “abacus”, and cylindric plane partitions, respectively. These are reducible, but we can identify an irreducible subcrystal corresponding to any dominant integral highest weight Λ. Cylindric plane partitions actually parametrize a basis for VΛ ⊗ F , where F is the space spanned by p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1997
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-97-01791-1