Hopf algebras
Ternary Hopf algebras
... of Hopf algebras are important since it is one of im- portant classes of algebras, because these algebras are connected with physics, noncommutative geometry, algebraic topology, the theory of ...
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A Class of Weak Hopf Algebras
... Weak Hopf algebra was introduced by Li in 1998 as a generalization of Hopf algebras ...weak Hopf algebras H, the quantum quasidouble DH of H is quasibraided equipped with some ...
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Self-Duality and Generalized Bicrossproducts Hopf Algebras
... that Hopf algebras can be constr ucted by using more general factorizations of finite ...bicrossproduct Hopf algebras can be associated to a factorization X = GH, where G is a subgroup of the ...
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Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy
... of Hopf algebras and in crossed modules of associative algebras (called here crossed modules of bare ...primitive) Hopf 2-connection (exact and blur), the first being multiplicative the second ...
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Henker, Hannah (2011): Module Categories over Quasi-Hopf Algebras and Weak Hopf Algebras and the Projectivity of Hopf Modules. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... of Hopf algebras is strongly connected to the question, whether Hopf modules over H-simple H-comodule algebras are projective as ...famous Hopf algebra Freeness Theorem [NZ89] about the ...
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The Freedom of Yetter Drinfeld Hopf Algebras
... Yetter-Drinfeld Hopf algebras are generalizations of Hopf ...of Hopf alge- bras can be applied to Yetter-Drinfeld Hopf ...feld Hopf algebras in [6] and studied Hopf ...
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NOTES ON REGULAR MULTIPLIER HOPF ALGEBRAS
... a Hopf algebra and γ = 1, then the face operators in this paper are the same with the face operators of Connes-Moscovici for Hopf algebras (see [2, ...
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Ufer, Stefan (2004): Braided Hopf algebras of triangular type. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... braided Hopf algebras generated by primitive elements is formed by Nichols algebras B (V, c) of braided vector spaces (V, ...Nichols algebras play an important role in the classification ...
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Posets and Hopf Algebras of Rectangulations.
... The Hopf algebra of diagonal rectangulations and the Hopf algebra of generic rect- angulations are combinatorial Hopf ...combinatorial Hopf algebra is defined by Aguiar, Bergeron, and Sottile ...
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Multiplier Hopf Algebras and Duality
... For multiplier Hopf ∗-algebras (which are automatically regular), it is natural to consider positivity of integrals. Unfortunately, the correspondence between left integrals and right integrals obtained in ...
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Combinatorial Realization of Certain Hopf Algebras of Pattern-Avoiding Permutations.
... a Hopf algebra is a bialgebra, with an additional map from V to V called the antipode, satisfying certain ...graded Hopf algebra is nothing more than a graded ...graded Hopf algebra by a triple ( V, ...
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Semisimplicity for Hopf algebras
... multiplication. The following proposition gives an important property of the antipode 5: it shows that 5" is an antihomomorphism. Proposition 4.7 [S 69B] Let if be a Hopf algebra wi[r] ...
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A generalised hopf algebra for solitons
... almost Hopf algebra, in which the unit and counit map are modified to use a commutative algebra instead of the ground ...a Hopf algebra bicrossproduct [2, 5, ...a Hopf algebra. In [3], there are ...
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Interacting Frobenius algebras are Hopf
... Frobenius algebras augmented with phase ...interacting Hopf algebras [9], such theories arise via distributive laws of PROPs only in special ...
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Lentner, Simon (2012): Orbifoldizing Hopf- and Nichols-Algebras. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... Finally we give an outlook on the initial motivation of this thesis - to construct the monster vertex algebra solely on the level of Hopf algebras. It plays a crucial role in the proof of Monstrous ...
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Hopf-Frobenius algebras and a simpler Drinfeld double
... two Hopf algebras. However, unless the Frobenius algebras are symmetric, this transformation does not preserve the form of the antipodes hence the resulting structure is not an HF ...
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Hopf bifurcations in an extended Lorenz system
... of Hopf bifurcation in an extended Lorenz sys- ...nondegenerate Hopf bifurcation arises at each of the three equi- librium points, the origin and two other nontrivial symmetric ...
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Hopf Bifurcation Analysis of the Repressilator Model
... To study the direction of the Hopf bifurcation we find the stability coefficient, Q , for the system. Using Equation (60) we obtain Figure 3(c) where we have plotted Q as a function of α for n = 2 and α = 0 0 . ...
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Higher Spin Algebras and Universal Enveloping Algebras
... spin algebras to the context of the famous AdS/CFT correspondence which proposes a duality between the AdS space formulated in terms of string theory, or M-theory, and conformal field theories (CFT) which are ...
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Hilbert algebras in commutative BCK algebras and ideal
... then H , ,1 is a Hilbert Algebras in BCK-algebras， {1,2} is an ideal，but it not a commutative ideal Theorem 2.3 A commutative ideal of a Hilbert Algebras in BCK-algebras must be an ide[r] ...
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