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math.RA1999
On certain lattices associated with generic division algebras
Nicole Lemire, Martin Lorenz
Let S_n denote the symmetric group on n letters. We consider the S_n-root lattice A_{n-1} = {(z1,...,zn) in Z^n | z1+...+zn = 0}, where S_n acts on Z^n by permuting the coordinates…
math.AC1999
Multiplicative Invariants and Semigroup Algebras
Martin Lorenz
Let G be a finite group acting by automorphism on a lattice A, and hence on the group algebra S=k[A]. The algebra of G-invariants in S is called an algebra of multiplicative invari…