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Results tagged with ct.category-theory
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user 98863
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
2
votes
Smooth affine algebras are Calabi-Yau
I don't think so. If A is commutative and of finite global dimension, say n, finitely generated as k-algebra, then by HKR you have $HH_n(A)\cong\Omega^n(A)$, and you want it to be isomorphic to $A$ as …
- 1,028
1
vote
What is known about the category of Hopf algebras?
Concerning the second question, if the algebra A is finite dimensional, a universal bialgebra analogous to End(A) is easily constructed, by considering a suitable quotient of the tensor algebra on the …
- 1,028
4
votes
A toy example of a tensor triangulated category?
Take a finite dimensional Hopf algebra $H$, the category of $H$-modules is Frobenius (projectives=injectives and there is enough of both); e.g. take $H$ to be the group algebra of a finite group. So …
- 52.9k
1
vote
Morita equivalent algebras in a fusion category
in the algebra case, B=eMn(A)e "because" B=End_A (P) with P f.g. proyective, so, finding e is the same as give a presentation of P as a direct summand of A^n. Also, P=F(B) where F is the functor givin …
- 1,028