Enumerating submodules invariant under an endomorphism
نویسندگان
چکیده
منابع مشابه
An Endomorphism of the Khovanov Invariant
We construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing phenomena of the invariants for alternating links. As a consequence, it follows that the Khovanov invariant of an oriented nonsplit alternating link is determined by its Jones polynomial, signature, and the linking numbers of its components.
متن کاملInvariant Submodules and Semigroups of Self-similarities for Fibonacci Modules
In the theory of quasicrystals, one typically deals with coordinates (indices) that lie in some Z-module of rank higher than the dimension of the ambient space, R. Often, these Z-modules are R-modules for some ring R and thereby admit sets of self-similarities (by scaling with elements of R), with a much richer structure than that available for lattices in R. It is natural to study these and ot...
متن کاملFree Cyclic Codes as Invariant Submodules over Finite Chain Rings
By applying the theory of linear algebra, one can obtain some properties of these codes which generalize several well known results for free cyclic codes represented in [1, 4]. Mathematics Subject Classification: 94B05, 11T71, 47A15
متن کاملU - invariant kernels , defect operators , and graded submodules
Let κ be an U-invariant reproducing kernel and let H (κ) denote the reproducing kernel Hilbert C[z1, . . . , zd]-module associated with the kernel κ. Let Mz denote the d-tuple of multiplication operators Mz1 , . . . ,Mzd on H (κ). For a positive integer ν and d-tuple T = (T1, . . . , Td), consider the defect operator
متن کاملEnumerating rc-Invariant Permutations with No Long Decreasing Subsequences∗
We use the Robinson-Schensted-Knuth correspondence and Schützenberger’s evacuation of standard tableaux to enumerate permutations and involutions which are invariant under the reverse-complement map and which have no decreasing subsequences of length k. These enumerations are in terms of numbers of permutations with no decreasing subsequences of length approximately k2 ; we use known results co...
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: Mathematische Annalen
سال: 2016
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-016-1499-6