Results 101 to 110 of about 297 (183)

A Class of Non-Hopf Bi-Frobenius Algebras Generated by n Elements

Mathematics
Bi-Frobenius algebras are a class of Frobenius algebras and Frobenius coalgebras with some compatible conditions. In this paper, we construct a class of bi-Frobenius algebras generated by n elements on graded algebra A.
Zhan Fa, Yanhua Wang
doaj   +1 more source

Equivariant multiplicities via representations of quantum affine algebras. [PDF]

Sel Math New Ser, 2023
Casbi E, Li JR.
europepmc   +1 more source

Lots of Hopf Algebras

Journal of Algebra, 1998
The author gives a construction of Hopf algebras over any commutative ring \(k\). The method involves looking at trivial \(n\)-parameter deformations of a Hopf algebra \(A\) over \(k\) and writing certain data as power-series in \(n\) variables. For example, if \(a\) and \(b\) are group-like elements in the deformation, then \(a-b\) is part of the data.
openaire   +1 more source

Co-actions, Isometries, and isomorphism classes of Hilbert modules. [PDF]

Adv Oper Theory, 2021
Kučerovský DZ.
europepmc   +1 more source

Connected Hopf algebras that are not Hopf Ore extensions of enveloping algebras

Journal of Algebra
We construct a family of connected Hopf algebras with finite Gelfand-Kirillov dimension, none of which is an iterated Hopf Ore extension of the universal enveloping algebra of its primitive part. This provides a negative answer to a question posed by Li and Zhou.
Mengying Hu, Quanshui Wu
openaire   +2 more sources

Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2021
Wirth M, Zhang H.
europepmc   +1 more source

Quantum Grothendieck rings as quantum cluster algebras. [PDF]

J Lond Math Soc, 2021
Bittmann L.
europepmc   +1 more source

Polyadic Systems, Representations and Quantum Groups

East European Journal of Physics, 2012
A review of polyadic systems and their representations is given. The classification of general polyadic systems is done. The multiplace generalization of homomorphisms, preserving associativity, is presented.
Steven Duplij
doaj  

Lie algebras and Hopf algebras [PDF]

Pacific Journal of Mathematics, 1981
openaire   +3 more sources

Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs

Journal of High Energy Physics
We investigate domain walls between 2d gapped phases of Turaev-Viro type topological quantum field theories (TQFTs) by constructing domain wall tube algebras.
Zhian Jia, Sheng Tan
doaj   +1 more source