Reference request for generalized root systems

April 9, 2022 by admin

Where can I find information on root systems where the inner product
is other than the standard (all positive) signature?

Answer

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Torsionless not separable abelian groups
The action of the unitary divisors group on the set of divisors and odd perfect numbers
Minimal generation for finite abelian groups
Short exact sequence 0→Z→A→R→00\to \mathbb Z\to A \to \mathbb R \to 0
Cardinality of the set of elements of fixed order.