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Showing 1 to 20 of 186 for “"Hopf"”.
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Cocommutative Hopf algebras with antipode.
Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1965. Ph.D.
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Theta Maps for Combinatorial Hopf Algebras
… Sottile show that the peak algebra is the odd Hopf sub-algebra of quasi symmetric functions using their theory of combinatorial Hopf algebras. In all these cases, there is a very natural and well-behaved Hopf algebra morphism from quasi-symmetric functions or non-commutative symmetric functions …
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Projective twists and the Hopf correspondence
… of Liouville/Stein manifolds. We define the $Hopf$ $correspondence$, a Lagrangian correspondence (in the sense of Wehrheim$-$Woodward) aimed at assigning Lagrangian spheres $L_1, \dots , L_m$ of a Liouville manifold $(Y, \Omega)$ to given Lagrangian (real, complex) projective spaces $K_1, …
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The Pointed-Irreducible Dualization of Hopf-Algebras
Made available in DSpace on 2014-12-11T18:23:56Z (GMT). No. of bitstreams: 1 7317207.pdf: 1994579 bytes, checksum: 0aec9cb41d8822750580cd85fe3e8713 (MD5) Previous issue date: 1972
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Inductive constructions for Lie bialgebras and Hopf algebras
… of Lie bialgebras and the "quantum" theory of Hopf algebras, including the quantized enveloping algebras. I develop an inductive approach to the study of these objects. An important tool is a construction called double-bosonisation defined by Majid for both Lie bialgebras and Hopf algebras, …
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On Hopf Algebra Type and Rational Calculus Decompositions
… result to a much larger class of functors. A Hopf algebra A is both an algebra with a multiplication map m:A⊗A→ A and a coalgebra with a comultiplication map D: A→A⊗A which must behave well with respect to each other. Mimicking this definition, we say that an object X …
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Equivariant Global Hopf Bifurcation in Abstract Nonlinear Parabolic Equations
… this Thesis, we study local and global symmetric Hopf bifurcation in abstract parabolic systems by means of the twisted equivariant degree.
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Hopf bifurcations in magnetoconvection in the presence of sidewalls
We study multiple Hopf bifurcations that occur in a model of a layer of a viscous, electrically conducting fluid that is heated from below in the presence of a. magnetic field. We assume that the fluid flow is two-dimensional, and consider the effects of sidewalls with stress-free boundary …
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Hopf Bifurcations and Horseshoes Especially Applied to the Brusselator
… paper we explore bifurcations, in particular the Hopf bifurcation. We study this especially in connection with the Brusselator, which is a model of certain chemical reaction-diffusion systems. After a thorough exploration of what a bifurcation is and what classifications there are, we give graphic …
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A Hopf Algebra Generalization of the Wever-Specht Formula
Made available in DSpace on 2014-12-11T18:23:37Z (GMT). No. of bitstreams: 1 7114758.pdf: 936818 bytes, checksum: dcbbb62bb327654aa3686034cbedeb7c (MD5) Previous issue date: 1970
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Relations in the homotopy of simplicial abelian Hopf algebras
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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EXTENDING ACTIONS OF HOPF ALGEBRAS TO ACTIONS OF THE DRINFEL'D DOUBLE
… actions to solve this problem are actions of Hopf algebras, the study of which has exploded in the years since the publication of Sweedler's Hopf algebras in 1969. Different varieties of Hopf algebras have been useful in many fields of mathematics. For instance, in his "Quantum Groups" paper, …
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Double Crossproducts of Hopf* Algebras, Discrete Quantum Groups and Amenable Groups
… which ensure that the bicrossproduct of two Hopf $\sp{\*}$ algebras is a Hopf $\sp{\*}$ algebra. In Appendix B, we provide physical motivation for studying bicrossproducts by describing a possible theory of quantum gravity where the algebra of quantum observables is a bicrossproduct.
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A Technique for Solving Certain Wiener-Hopf Type Boundary Value Problems
Made available in DSpace on 2014-12-08T22:23:58Z (GMT). No. of bitstreams: 1 6612288.pdf: 3011333 bytes, checksum: 83127792f8c85c7535684ed710a87216 (MD5) Previous issue date: 1966
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Actions of finite dimensional non-commutative, non-cocommutative Hopf algebras on rings
… of "nice" algebras under finite dimensional Hopf algebra actions. We begin with an introduction to the general study of Hopf algebras and their basic properties, then explain why they are a natural choice to generalize the action of finite groups on rings. We then show that in order to …
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On the stability of rotor bearing systems based on Hopf bifurcation theory
… turbulent effects are evaluated by applying the Hopf bifurcation theory (HBT) to the equations of motion. A method is developed for predicting the stability envelope of rotor-bearing systems using HBT. Results are compared with published literature obtained using a trial-and-error method. A …
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Coend elements of a Hopf algebra in a braided rigid monoidal category
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-05-01
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