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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
2
votes
Classification of algebras of finite global dimension via determinants of certain 0-1-matrices
(Not a solution, just a reformulation and a conjecture for $w=3$)
(1) Remark: the question above may equivalently be stated as follows:
Let $Z$ be the matrix of the cyclic shift (the companion matri …