4 papers
Cubic Dirac operator for
Andrey Krutov, Pavle PandžiÄ
We construct the -deformed Clifford algebra of and study its properties. This allows us to define the -deformed noncommutative Weil algebra $\mathcal{W}_q(\…
Quantised -differential algebras
Andrey Krutov, Pavle PandžiÄ
We propose a definition of a quantised -differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised C…
Levi-Civita connection on the irreducible quantum flag manifolds
Jyotishman Bhowmick, Bappa Ghosh, Andrey O. Krutov +1
We classify covariant metrics (in the sense of Beggs and Majid) on a class of quantum homogeneous spaces. In particular, our classification implies the existence of a unique (up to…
Non-integrable distributions with simple infinite-dimensional Lie (super)algebras of symmetries
Andrey Krutov, Dimitry Leites, Irina Shchepochkina
Under usual locality assumptions, we classify all non-integrable distributions with simple infinite-dimensional Lie superalgebra of symmetries over : we single out 15 s…