Results 11 to 20 of about 14,989 (121)
Hopf Maps, Lowest Landau Level, and Fuzzy Spheres [PDF]
, 2010 This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopoles and fuzzy spheres.
Hasebe, Kazuki
core +5 more sources
Racks, Leibniz algebras and Yetter--Drinfel'd modules [PDF]
, 2014 A Hopf algebra object in Loday and Pirashvili's category of linear maps entails an ordinary Hopf algebra and a Yetter–Drinfel'd module. We equip the latter with a structure of a braided Leibniz algebra.
Kraehmer, Ulrich, Wagemann, Ftiedrich
core +5 more sources
Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories [PDF]
, 2016 By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them.
Cheng, Tao, Huang, Hua-Lin, Yang, Yuping
core +3 more sources
, 2008 Many things in mathematics seem lamost unreasonably nice. This includes objects, counterexamples, proofs. In this preprint I discuss many examples of this phenomenon with emphasis on the ring of polynomials in a countably infinite number of variables in ...
Hazewinkel, Michiel
core +2 more sources
Card-Shuffling via Convolutions of Projections on Combinatorial Hopf Algebras [PDF]
, 2015 Recently, Diaconis, Ram and I created Markov chains out of the coproduct-then-product operator on combinatorial Hopf algebras. These chains model the breaking and recombining of combinatorial objects.
Pang, C. Y. Amy
core +3 more sources
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications.
Ion C. Baianu +2 more
doaj +1 more source
Piecewise Principal Coactions of Co-Commutative Hopf Algebras [PDF]
, 2014 Principal comodule algebras can be thought of as objects representing principal bundles in non-commutative geometry. A crucial component of a principal comodule algebra is a strong connection map.
Zieliński, Bartosz
core +2 more sources
Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators
, 2008 Introducing an H-Hopf algebroid structure into U_{q,p}(\widedhat{sl}_2), we investigate the vertex operators of the elliptic quantum group U_{q,p}(\widedhat{sl}_2) defined as intertwining operators of infinite dimensional U_{q,p}(\widedhat{sl}_2)-modules.
Drinfeld V G +3 more
core +1 more source
Overview of (pro-)Lie group structures on Hopf algebra character groups
, 2017 Character groups of Hopf algebras appear in a variety of mathematical and physical contexts. To name just a few, they arise in non-commutative geometry, renormalisation of quantum field theory, and numerical analysis.
A Connes +47 more
core +1 more source
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source