Rules of Three for commutation relations
نویسندگان
چکیده
منابع مشابه
Commutation of Cellular Automata Rules
This paper addresses the following problem: Given a onedimensional cellular automata (CAl defined over Z2 with a rule represented by an operat or X , determine all one-dimensional rules over Z2 which commute with X . It is shown th at the set of all such rules is given by th e solut ion set of a system of nonlinear Diophantine equations. This result is generalized to cover cellular automata who...
متن کاملCommutation relations for truncated Toeplitz operators
For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space H2 , we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras. Mathematics subject classification (2010): 47B32, 47B35, 47B37.
متن کاملCommutation Relations for Arbitrary Quantum Minors
Complete sets of commutation relations for arbitrary pairs of quantum minors are computed, with explicit coefficients in closed form.
متن کاملCommutation Relations and Markov Chains
It is shown that the combinatorics of commutation relations is well suited for analyzing the convergence rate of certain Markov chains. Examples studied include random walk on irreducible representations, a local random walk on partitions whose stationary distribution is the Ewens distribution, and some birth-death chains.
متن کاملCommutation relations and Vandermonde determinants
We consider a certain decomposition of the matrix algebra Mn(F ), where F is a field. The commutation relations of that decomposition yield an n × n matrix Mn , which determines the multilinear polynomial identities of Mn(F ). Thus if char(F ) = 0, the matrix Mn ) determines the polynomial identities of Mn(F ). We show that M Mn(F ) is very close to the tensor product of two n × n Vandermonde m...
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 Algebra
سال: 2018
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.12.023