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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 …
Juan Bermejo Vega's user avatar
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 …
Juan Bermejo Vega's user avatar
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 …
Juan Bermejo Vega's user avatar