Results 41 to 50 of about 82 (72)

Equivariant spectral triple for the quantum group $U_q(2)$ for complex deformation parameters

open access: yes, 2022
Let $q=|q|e^{i\pi\theta},\,\theta\in(-1,1],$ be a nonzero complex number such that $|q|\neq 1$ and consider the compact quantum group $U_q(2)$. For $\theta\notin\mathbb{Q}\setminus\{0,1\}$, we obtain the $K$-theory of the $C^*$-algebra $C(U_q(2))$.
Guin, Satyajit, Saurabh, Bipul
core  

Algebras of iterated path integrals and fundamental groups

open access: yes, 1971
A method of iterated integration along paths is used to extend deRham cohomology theory to a homotopy theory on the fundamental group level. For every connected C ∞ {C^\infty } manifold
Kuo-tsai Chen
core   +1 more source

Quantum Fourier analysis. [PDF]

open access: yesProc Natl Acad Sci U S A, 2020
Jaffe A, Jiang C, Liu Z, Ren Y, Wu J.
europepmc   +1 more source

On a formula of Coll-Gerstenhaber-Giaquinto

open access: yes, 2019
Given a bialgebra B we present a unifying approach to deformations of associative algebras A with a left B-module algebra structure. Special deformations of the comultiplication of B yield universal deformation formulas, i.e.
Gräbe, Hans-Gert, Vlassov, A.T.
core  

Parabolic induction and Jacquet modules of representations of O(2n,F)

open access: yes, 1999
For the sum of the Grothendieck groups of the categories of smooth finite length representations of O(2n, F) (resp., SO(2n, F)), n ≥ 0, (F a p-adic field), the structure of a module and a comodule over the sum of the Grothendieck groups of the categories
Dubravka Ban, Ban, Dubravka
core  

Irreducible Representations of Quantum Affine Algebras

open access: yes, 2000
We construct finite-dimensional representations of the quantum affine algebra associated to the simple finite-dimensional Lie algebra sl(n+1). The module structure is defined on the vector space tensor product of the fundamental representations of the ...
Thorén, Jesper,, Lund University.
core   +1 more source

Bialgebra cohomology, deformations, and quantum groups. [PDF]

open access: yesProc Natl Acad Sci U S A, 1990
Gerstenhaber M, Schack SD.
europepmc   +1 more source

Canonical bases in tensor products. [PDF]

open access: yesProc Natl Acad Sci U S A, 1992
Lusztig G.
europepmc   +1 more source

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