Results 31 to 40 of about 660,880 (274)

Covariantization of quantized calculi over quantum groups [PDF]

Mathematica Bohemica, 2020
We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
doaj   +1 more source

Photon-Added Deformed Peremolov Coherent States and Quantum Entanglement

Axioms
In the present article, we build the excitedcoherent states associated with deformed su(1,1) algebra (DSUA), called photon-added deformed Perelomov coherent states (PA-DPCSs).
Kamal Berrada
doaj   +1 more source

Affine Quantum Groups

, 2006
Contribution to the Encyclopedia of Mathematical ...
Delius, G. W., MacKay, N. J.
openaire   +2 more sources

ALGEBRAIC QUANTUM PERMUTATION GROUPS [PDF]

Asian-European Journal of Mathematics, 2008
We discuss some algebraic aspects of quantum permutation groups, working over arbitrary fields. If 𝕂 is any characteristic zero field, we show that there exists a universal cosemisimple Hopf algebra coacting on the diagonal algebra 𝕂n: this is a refinement of Wang's universality theorem for the (compact) quantum permutation group.
openaire   +4 more sources

Harmonic Analysis on Quantum Complex Hyperbolic Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2011
In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part.
Olga Bershtein, Yevgen Kolisnyk
doaj   +1 more source

Braided C*-quantum groups

, 2019
We propose a general theory of braided quantum groups in the C*-algebraic framework using the language of multiplicative unitaries. More precisely, we construct C*-quantum groups in the monoidal category of Yetter-Drinfeld C*-algebras over regular C ...
Roy, Sutanu
core   +1 more source

Semiinfinite cohomology of quantum groups

, 1996
In this paper we develop a new homology theory of associative algebras called semiinfinite cohomology in a derived category setting. We show that in the case of small quantum groups the zeroth semiinfinite cohomology of the trivial module is closely ...
Arkhipov, Sergey
core   +2 more sources

Discrete Quantum Groups

Journal of Algebra, 1996
On a discrete group \(G\) consider the algebra \(A\) of complex functions with finite supports. Multiplication in \(G\) induces a comultiplication \(\Delta\) for \(A\) by \((\Delta f)(p,q)=f(pq)\), \(f\in A\), \(p\in G\), \(q\in G\). In case \(G\) is infinite, \(\Delta(f)(g \otimes 1)\), \(\Delta(f)(1\otimes g)\in A\otimes A\) for all \(f,g\in A ...
openaire   +2 more sources

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

FEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model

Journal of High Energy Physics, 2019
We conjecture the quantum analogues of the classical trace formulae for the integrals of motion of the quantum hyperbolic Ruijsenaars-Schneider model.
Gleb Arutyunov, Rob Klabbers, Enrico Olivucci   +2 more
doaj   +1 more source