Cohomological Operators and Covariant Quantum Superalgebras
, 2003 We obtain an interesting realization of the de Rham cohomological operators of differential geometry in terms of the noncommutative q-superoscillators for the supersymmetric quantum group GL_{qp} (1|1).
Ardalan F +30 more
core +1 more source
Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1885-1896, June 2025.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source
Noncommutative Differential Geometry and Connections on Simplicial Manifolds
, 1996 LaTeX2e, uses AMS-LaTeX package, 25 ...
openaire +3 more sources
Noncommutative Differential Geometry and Twisting of Quantum Groups [PDF]
, 2002 10 pages, to appear Proc. LMS Symposium Quantum Groups, Durham, 1999.
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Mini-workshop: Dirac Operators in Differential and Noncommutative Geometry
Oberwolfach Reports, 2007 The mini-workshop, organized by Christian Bär and Andrzej Sitarz, had a very special character. The participating scientists came from two different mathematical communities: differential geometry (working mainly on problems related to the Dirac operator on spin manifolds) and noncommutative geometry (working mainly on concepts of Dirac operators in ...
Christian Bär, Andrzej Sitarz
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Classification of Differentials on Quantum Doubles and Finite Noncommutative Geometry [PDF]
, 2019 We discuss the construction of finite noncommutative geometries on Hopf algebras and finite groups in the `quantum groups approach'. We apply the author's previous classification theorem, implying that calculi in the factorisable case correspond to blocks in the dual, to classify differential calculi on the quantum codouble $D^*(G)=kG\lcocross k(G)$ of
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Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups. [PDF]
Ann Henri Poincare, 2023 Wirth M, Zhang H.
europepmc +1 more source
Quasinormal modes and shadow of noncommutative black hole. [PDF]
Sci Rep, 2022 Campos JAV +3 more
europepmc +1 more source
On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model. [PDF]
Ann Henri Poincare, 2022 Perez-Sanchez CI.
europepmc +1 more source
Application of Noncommutative Differential Geometry on Lattice to Anomaly
, 1999 The chiral anomaly in lattice abelian gauge theory is investigated by applying the geometric and topological method in noncommutative differential geometry(NCDG). A new kind of double complex and descent equation are proposed on infinite hypercubic lattice in arbitrary even dimensional Euclidean space, in the framework of NCDG.
Fujiwara, Takanori +2 more
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