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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
Easy way to understand theta basis for X-cluster algebras of finite type?
There's another answer which doesn't work in full generality, but is often easier to work with, especially if you know the A-type theta functions really well.
When the exchange matrix has full rank, X …
11
votes
Accepted
Easy way to understand theta basis for X-cluster algebras of finite type?
Probably the shortest answer, especially in finite-type:
X-type theta functions are monomials times F-polynomials
Making this precise is a bit fiddly, because there are multiple conventions and (more …