منابع مشابه
Quasitriangular Structure of Myhill-Nerode Bialgebras
In computer science the Myhill–Nerode Theorem states that a set L of words in a finite alphabet is accepted by a finite automaton if and only if the equivalence relation ∼L, defined as x ∼L y if and only if xz ∈ L exactly when yz ∈ L,∀z, has finite index. The Myhill–Nerode Theorem can be generalized to an algebraic setting giving rise to a collection of bialgebras which we call Myhill–Nerode bi...
متن کاملIntrinsic Brackets and the L∞-deformation Theory of Bialgebras
We show that there exists a Lie a bracket on the cohomology of any type of (bi)algebras over an operad or a prop, induced by an L∞-structure on the defining cochain complex, such that the associated L∞-master equation captures deformations. This in particular implies the existence of a Lie bracket on the Gerstenhaber-Schack cohomology [7] of a bialgebra that extends the classical intrinsic brac...
متن کامل23PROP and deformation theory of (co)associative bialgebras
We introduce a concept of 2 3 PROP generalizing the Kontsevich concept of 1 2 PROP. We prove that some Stasheff-type compactification of the Kontsevich spaces K(m,n) defines a topological 2 3 PROP structure. The corresponding chain complex is a minimal model for its cohomology (both are considered as 2 3 PROPs). We construct a 2 3 PROP End(V ) for a vector space V . Finally, we construct a dg L...
متن کاملAn explicit deformation theory of (co)associative bialgebras
We find here another (not of the CROC-type) compactification of the Kontsevich spaces K(m,n). This compactification is a Stasheff-type compactification, in particular, it is exactly the Stasheff compactification when n = 1 or m = 1. The boundary strata of this compactification are products of the spaces K(m, n) and of the Stasheff polyhedra. Then we construct a dg Lie algebra naturally associat...
متن کاملPoisson bialgebras
Related Articles Representations of some quantum tori Lie subalgebras J. Math. Phys. 54, 032302 (2013) The Poincaré algebra in rank 3 simple Lie algebras J. Math. Phys. 54, 023508 (2013) Relativistic Chasles' theorem and the conjugacy classes of the inhomogeneous Lorentz group J. Math. Phys. 54, 022501 (2013) Localization in abelian Chern-Simons theory J. Math. Phys. 54, 023507 (2013) Symmetry ...
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 Generalized Lie Theory and Applications
سال: 2016
ISSN: 1736-4337
DOI: 10.4172/1736-4337.1000244