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Results tagged with ct.category-theory
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user 4231
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
10
votes
Accepted
What does the t in t-category stand for?
Though I don't have inside information, it's clear that the notes in Asterisque 100 (1982) by BBD gave the first formal definition of t-category and t-structure on a triangulated category (section 1.3 …
- 52.9k
15
votes
Are there natural examples of non-symmetric Frobenius algebras?
Though "natural" isn't a mathematical term with a strict meaning here, it's worth considering the work of Larson and Sweedler on finite dimensional Hopf algebras in
Amer. J. Math. 91 (1969), 75-94. …
- 52.9k
7
votes
Accepted
What is a Specht module?
The short answer to your question about Specht modules for other types than the symmetric group is "yes". The long answer is that you have to dig into the extensive literature built up around cyclo …
- 52.9k
21
votes
Accepted
Why the BGG category O?
I'd add to what Ben says the observation that people have found a number of different module categories valuable for different purposes within this same Lie algebra context. (And some Lie theory pe …
- 52.9k
4
votes
Indecomposable projectives correspond to irreducibles - reference
It's useful for questions like this to go back to the basic literature where some of these ideas are developed in context. (Serganova's lecture notes look helpful but if course rely on older sources …
- 52.9k
5
votes
2
answers
1k
views
Origin of notion of "split Grothendieck group"?
In the construction of Soergel's bimodules in representtion theory , it's essential for him to work with split Grothendieck groups. Here he starts with a certain small additive category $\mathcal{A} …
- 52.9k