منابع مشابه
Ribbon structure in symmetric pre-monoidal categories
Let U(g) denote the universal enveloping algebra of a Lie algebra g. We show the existence of a ribbon algebra structure in a particular deformation of U(g) which leads to a symmetric pre-monoidal category of U(g)-modules.
متن کاملRibbon Operators and Hall-Littlewood Symmetric Functions
Abstract. Given a partition λ = (λ1, λ2, . . . λk), let λ rc = (λ2 − 1, λ3 − 1, . . . λk − 1). It is easily seen that the diagram λ/λ is connected and has no 2 × 2 subdiagrams which we shall refer to as a ribbon. To each ribbon R, we associate a symmetric function operator S. We may define the major index of a ribbon maj(R) to be the major index of any permutation that fits the ribbon. This pap...
متن کاملOn the Hadwiger Numbers of Centrally Symmetric Starlike Disks
The Hadwiger number H(S) of a topological disk S in R 2 is the maximal number of pairwise nonoverlapping translates of S that touch S. A conjecture of A. Bezdek., K. and W. Kuperberg [2] states that this number is at most eight for any starlike disk. A. Bezdek [1] proved that the Hadwiger number of a starlike disk is at most seventy five. In this note, we prove that the Hadwiger number of any c...
متن کاملHigh performance current and spin diode of atomic carbon chain between transversely symmetric ribbon electrodes
We demonstrate that giant current and high spin rectification ratios can be achieved in atomic carbon chain devices connected between two symmetric ferromagnetic zigzag-graphene-nanoribbon electrodes. The spin dependent transport simulation is carried out by density functional theory combined with the non-equilibrium Green's function method. It is found that the transverse symmetries of the ele...
متن کاملDecomposable Compositions, Symmetric Quasisymmetric Functions and Equality of Ribbon Schur Functions
We define an equivalence relation on integer compositions and show that two ribbon Schur functions are identical if and only if their defining compositions are equivalent in this sense. This equivalence is completely determined by means of a factorization for compositions: equivalent compositions have factorizations that differ only by reversing some of the terms. As an application, we can deri...
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: Journal of Knot Theory and Its Ramifications
سال: 2014
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216514500485