Michael Lau

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math.RT2025

Free Jordan Algebras and Representations of $sl_{2} (J)$

Michael Lau, Olivier Mathieu

Let $J$ be a unital Jordan algebra, and let $sl_{2} (J)$ be the universal central extension of its Tits-Kantor-Koecher Lie algebra. In Part A, we study the catego…

math.RT2023

Whittaker vectors in singular Whittaker modules

Karthik Dulam, Hrishikesh Ghate, Michael Lau +1

Let $g$ be a complex semisimple Lie algebra with Borel subalgebra $b$ and corresponding nilradical $n$ . We show that singular Whittaker modul…

math.RT2023

Jordan algebras and weight modules

Michael Lau, Olivier Mathieu

We consider bounded weight modules for the universal central extension $sl_{2} (J)$ of the Tits-Kantor-Koecher algebra of a unital Jordan algebra $J$ . Universal objects c…

Free Jordan Algebras and Representations of sl2​(J)

Whittaker vectors in singular Whittaker modules

Jordan algebras and weight modules

Free Jordan Algebras and Representations of $sl_{2} (J)$