4 citations · 5 across the 7 of their papers we have counts for
10 papers · 1 filter
Classification of Harish-Chandra modules for current algebras
Michael Lau
For any reductive Lie algebra and commutative, associative, unital algebra , we give a complete classification of the simple weight modules of $\mathfrak{g}\otime…
Extensions of modules for twisted current algebras
Jean Auger, Michael Lau
Twisted current algebras are fixed point subalgebras of current algebras under a finite group action. Special cases include equivariant map algebras and twisted forms of current al…
Weight modules for current algebras
Daniel Britten, Michael Lau, Frank Lemire
For any finite-dimensional simple Lie algebra and commutative associative algebra of finite type, we give a complete classification of the simple weight modules…
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}…
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…
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…