4 citations · 5 across the 5 of their papers we have counts for
5 papers
Continuous cohomology of gauge algebras and bornological Loday-Quillen-Tsygan theorems
Lukas Miaskiwskyi
We investigate the well-known Loday-Quillen-Tsygan theorem, which calculates the Lie algebra homology of the general linear algebra for an associative algebra $A…
Expectation values of polynomials and moments on general compact Lie groups
Tobias Diez, Lukas Miaskiwskyi
We develop a powerful framework to calculate expectation values of polynomials and moments on compact Lie groups based on elementary representation-theoretic arguments and an integ…
A local-to-global analysis of Gelfand-Fuks cohomology
Lukas Miaskiwskyi
We present a novel proof technique to construct the Gelfand-Fuks spectral sequence for diagonal Chevalley-Eilenberg cohomology of vector fields on a smooth manifold, performing a l…
Local and multilinear noncommutative de Leeuw theorems
Martijn Caspers, Bas Janssens, Amudhan Krishnaswamy-Usha +1
Let be a discrete subgroup of a locally compact unimodular group . Let be a -multiplier on with and let $T_{m}: L_p(\widehat{G})…
Invariant Hochschild cohomology of smooth functions
Lukas Miaskiwskyi
Given an action of a Lie group on a smooth manifold, we discuss the induced action on the Hochschild cohomology of smooth functions, and notions of invariance on this space. Depend…