Horizontal and Straight Triangulation on Heisenberg Groups

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

Heisenberg Idempotents on Unipotent Groups

Let G be a possibly disconnected algebraic group over an algebraically closed field k of characteristic p > 0, such that its neutral connected component, H = G0, is a unipotent group. We recall that an algebraic group over k is defined to be a smooth group scheme of finite type over k. Let us fix a prime number l 6= p. If X is a k-scheme, we use D(X) to denote the bounded derived category of Ql...

φ-factorable operators and weyl-heisenberg frames on lca groups

φ-factorable operators and weyl-heisenberg frames on lca groups

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Heisenberg Groups and Algebraic Topology

We study the Madsen-Tillmann spectrum CP∞ −1 as a quotient of the Mahowald pro-object CP∞ −∞ , which is closely related to the Tate cohomology of circle actions. That theory has an associated symplectic structure, whose symmetries define the Virasoro operations on the cohomology of moduli space constructed by Kontsevich and Witten.