A Contraction of S U (2) to the Heisenberg Group.
A correspondence for the generalized Hecke algebra of the metaplectic cover , -adic.
A countably cellular topological group all of whose countable subsets are closed need not be -factorizable
We construct a Hausdorff topological group such that is a precalibre of (hence, has countable cellularity), all countable subsets of are closed and -embedded in , but is not -factorizable. This solves Problem 8.6.3 from the book “Topological Groups and Related Structures" (2008) in the negative.
A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup.
A decomposition theorem for compact groups with an application to supercompactness
We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
A dense subsemigroup of S(R) generated by two elements
A density property of the tori and duality
A descriptive view of unitary group representations
In this paper, we will study the relative complexity of the unitary duals of countable groups. In particular, we will explain that if and are countable amenable non-type I groups, then the unitary duals of and are Borel isomorphic.
A direct approach to one variable noncommutative calculus
A direct description of uniform completion in locales and a characterization of -groups
A Distribution - Theoretic Proof of Kirillov's Character Formula for Nilpotent Lie Groups.
A Dowker group
A duality between and . (Une dualité entre et .)
A duality in the theory of group representations
A duality theorem for standard threads
A dynamical interpretation of the global canonical height on an elliptic curve.
A factorization of the Selberg zeta function attached to a rank 1 space form.
A Fourier summation formula for the symmetric space
A Fourier Transform for Compact Nilmanifolds with Flat Orbits.
A functional calculus for Rockland operators on nilpotent Lie groups