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math.RT2025
Around the center
Maria Gorelik, Vladimir Hinich, Vera Serganova
The center of a semisimple Lie algebra can be described as the algebra of W-invariant functions on the dual of the Cartan subalgebra. The centers of many Lie superalgebras have a s…
math.RT2023
Matsumoto theorem for skeleta
Maria Gorelik, Vladimir Hinich, Vera Serganova
We present a proof of a generalization of the theorem of H.~Matsumoto on Coxeter groups. Our generalized version is applicable to "graphs admitting geometric realization". The orig…