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math.RT2013
Lie-Poisson theory for direct limit Lie algebras
Mark Colarusso, Michael Lau
In this paper, we develop the fundamentals of Lie-Poisson theory for direct limits $G=\dirlim G_{n}$ of complex algebraic groups and their Lie algebras $\fg=\dirlim \fg_{n}…
math.RT2013
Representations of twisted current algebras
Michael Lau
We use evaluation representations to give a complete classification of the finite-dimensional simple modules of twisted current algebras. This generalizes and unifies recent work o…
math.RT2013
Maximal ideals and representations of twisted forms of algebras
Michael Lau, Arturo Pianzola
Given a central simple algebra and a Galois extension of base rings , we show that the maximal ideals of twisted -forms of the algebra of currents $\mathfr…