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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
Orthogonal subgroups of dual group
There are very pedagogical proofs in [1] section 3.5 and in [2] section 6.1. In both references, the most typical properties of orthogonal subgroups of finite-abelian groups are proven, including the …
16
votes
3
answers
710
views
An algebraic approach to the thermodynamic limit $N\rightarrow\infty$?
In physics one studies quite often the thermodynamic limit or what we call the $N\rightarrow \infty$ behavior of a system of $N\rightarrow\infty$ particles. This is of particular relevance in the stud …
4
votes
1
answer
368
views
Classification of finite abelian hypergroups and table algebras
Update: Originally, I formulated this question for finite abelian hypergroups, but in a discussion with Geoff Robinson below I realized that the abelian hypergroups defined below are equivalent to tab …