Orbits in unimodular Hermitian lattices
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- by Donald G. James PDF
- Trans. Amer. Math. Soc. 332 (1992), 849-860 Request permission
Abstract:
Let $L$ be a unimodular indefinite hermitian lattice over the integers $\mathfrak {o}$ of an algebraic number field, and $N(L,c)$ the number of primitive representations of $c \in \mathfrak {o}$ by $L$ that are inequalivant modulo the action of the integral special unitary group $SU(L)$ on $L$. The value of $N(L,c)$ is determined from the local representations via a product formula.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 332 (1992), 849-860
- MSC: Primary 11E39; Secondary 11E08, 11H06, 20G25, 20G30
- DOI: https://doi.org/10.1090/S0002-9947-1992-1089419-6
- MathSciNet review: 1089419